Problems on Ratio and Proportion

Ratio and Proportion Problems and Solutions

   Karan, Hari and Kowshik play cricket. The runs got by Karan to Hari and Hari to Kowshik are in the ratio of 5:3. They get altogether 588 runs. How many runs did Karan get?

1. A. 150 runs

2. B. 300 runs     👈 Correct Answer

3. C. 250 runs

4. D. 200 runs

1. Answer & Explanation:

   Given : The runs scored by Karan to Hari and Hari to Kowshik are in the ratio of 5:3.

   Ratio of Run By, Karan : Hari = (5:3)

   Ratio of Run By, Hari : Kowshik = (5:3)

   So, The Ratio of Run Scored By Karan, Hari and Kowshik is

   Karan Run : Hari Run : Kowshik Run = (25:15:9)

   Therefore, the runs made by Karan,

   = (25/49) * 588

   = 25 * 12 = 300 runs  👈👈 Correct Answer

   👉👉👉(How to calculate the Ratio of The runs scored by Karan, Hari and Kowshik)

   The Ratio of Run Scored By, Karan : Hari = (5:3)  => Karan/Hari = 5/3

   Karan Run = (5/3) Hari 

   The Ratio of Run Scored By, Hari : Kowshik = (5:3) => Hari/Kowshik = 5/3

   Kowshik Run = (3/5) Hari

   Karan : Hari : Kowshik = (5/3):1:(3/5) (Take LCM and Solve it ) 

   Karan : Hari : Kowshik = 25:15:9 runs

1. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

1. A. Rs. 500     
2. B. Rs. 1500      
3. C. Rs. 2000        Correct Answer
4. D. None of these      

2.  

   
   

   If a : b = 2 : 3 and b : c = 5 : 7, then find a : b : c.

1. A. 12 : 15 : 9     
2. B. 10 : 15 : 21        Correct Answer
3. C. 14 : 12 : 21      
4. D. 2 : 15 : 7      

3.  

   
   

   Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

1. A. 2 : 5     
2. B. 3 : 5      
3. C. 4 : 5        Correct Answer
4. D. 6 : 7      

4.  

   
   

   If A : B : C = 3 : 4 : 7, then what is the ratio of (A / B) : (B / C) : (C / A)?

1. A. 63 : 48 : 196       Correct Answer
2. B. 66 : 49 : 190      
3. C. 56 : 40 : 186      
4. D. 46 : 38 : 160      

5.  

   
   

   Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

1. A. 2 : 3 : 4       Correct Answer
2. B. 6 : 7 : 8      
3. C. 6 : 8 : 9      
4. D. None of these      

6.  

   
   

   If Suresh distributes his pens in the ratio of 1/2 : 1/4 : 1/5 : 1/7 between his four friends A, B, C and D, then find the total number of pens Suresh should have?

1. A. 153       Correct Answer
2. B. 150      
3. C. 100      
4. D. 125      

7.  

   
   

   In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:

1. A. 20 litres     
2. B. 30 litres      
3. C. 40 litres      
4. D. 60 litres        Correct Answer

8.  

   
   

   If Rs 1050 is divided into three parts, proportional to (1 / 3) : (3 / 4) : ( 4 / 6), then what is the first part?

1. A. 500     
2. B. 300      
3. C. 200        Correct Answer
4. D. 100      

9.  

   
   

   The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

1. A. 8 : 9     
2. B. 17 : 18      
3. C. 21 : 22        Correct Answer
4. D. Cannot be determined      

10.  

    
    

    In a mixture of 13 litres, the ratio of milk and water is 3 : 2. If 3 liters of this mixture is replaced by 3 liters of milk, then what will be the ratio of milk and water in the newly formed mixture?

1. A. 10 : 3     
2. B. 8 : 5      
3. C. 9 : 4        Correct Answer
4. D. 1 : 1      

11.  

    
    

    Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

1. A. Rs. 17,000     
2. B. Rs. 20,000      
3. C. Rs. 25,500      
4. D. Rs. 38,000        Correct Answer

12.  

    
    

    The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is

1. A. 3 : 2     
2. B. 2 : 3        Correct Answer
3. C. 5 : 7      
4. D. 7 : 5      
5. E. None of the above      

13.  

    
    

    The monthly income of A and B are in the ratio 2 : 3 and their monthly expenses are in the ratio 5 : 9. If each of them saves Rs. 600 per month, then their monthly incomes are

1. A. Rs. 1600, Rs. 2400       Correct Answer
2. B. Rs. 1650, Rs. 2200      
3. C. Rs. 1800, Rs. 2600      
4. D. Rs. 1950, Rs. 2750      

14.  

    
    

    Two numbers are in the ratio 1½ : 5(2/3). When each one of these is increased by 15, their ratio become 1(2/3) : 2½ . The smaller of the number is

1. A. 21     
2. B. 24      
3. C. 25      
4. D. 27        Correct Answer

15.  

    
    

    The ratio of earnings of A and B is 8 : 9. If the earnings of A increase by 50% and the earnings of B decrease by 25%, the new ratio of their earnings is 16 : 9. What are A's earnings ?

1. A. Rs. 1800     
2. B. Rs. 2600      
3. C. Rs. 3300      
4. D. Not sufficient data        Correct Answer

16.  

    
    

    Vessels A and B contains mixtures of milk and water in the ratio 4:5 and 5:1 respectively. In what ratio should quantities of mixtures be taken from A to B to form a mixture in which milk to water is in the ratio 5 : 4 ?

1. A. 1 : 2     
2. B. 3 : 4      
3. C. 3 : 5      
4. D. 5 : 2        Correct Answer

17.  

    
    

    The ratio of incomes of A and B is 5 : 3 and that of their expenditures is 9 : 5. If they save Rs. 2600 and Rs. 1800 respectively, then their incomes are

1. A. Rs. 5000, Rs. 3900     
2. B. Rs. 6000, Rs. 4200      
3. C. Rs. 8000, Rs. 4800        Correct Answer
4. D. Rs. 9000, Rs. 5100      

18.  

    
    

    If 20% of (P + Q) = 50% of (P - Q), then P:Q = ?

1. A. 3 : 2     
2. B. 5 : 4      
3. C. 7 : 2      
4. D. 7 : 3        Correct Answer

19.  

    
    

    In a school, the ratio of boys and girls is 4 : 5. When 100 girls leave the school, the ratio becomes 6 : 7. How many boys are there in the school ?

1. A. 900     
2. B. 1000      
3. C. 1200        Correct Answer
4. D. 1500      

20.  

    
    

    Two vessels A and B contain milk and water mixed in the ratio 5 : 3 and 2 :3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must taken in the ratio

1. A. 1 : 3     
2. B. 3 : 5      
3. C. 4 : 5        Correct Answer
4. D. 5 : 7      

21.  

    
    

    The ratio of the ages of two students is 3 : 2. One is older than the other by 5 years. What is the age of the younger student ?

1. A. 11 years     
2. B. 12 years      
3. C. 15 years        Correct Answer
4. D. 19 years      

22.  

    
    

    In a mixture of 60 liters, the ratio of milk and water is 2 : 1. If the ratio is to be 1 : 2, the quantity of water to be further added is

1. A. 30 liters     
2. B. 40 liters      
3. C. 50 liters      
4. D. 60 liters        Correct Answer

23.  

    
    

    If 32 students in a class are females and the ratio of female to male students is 16 : 9, then what percentage of the class is female ?

1. A. 51 %     
2. B. 55 %      
3. C. 57 %      
4. D. 64 %        Correct Answer

24.  

    
    

    Rs. 6400 are divided among three workers in the ratio 3/5 : 2 : 5/3. The share of the second worker is

1. A. Rs. 2000     
2. B. Rs. 2500      
3. C. Rs. 3000        Correct Answer
4. D. Rs. 3500      

25.  

    
    

    A bag contains Rs. 216 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 2 : 3 : 4. The number of 50 paise coins is

1. A. 133     
2. B. 136      
3. C. 144        Correct Answer
4. D. 149      

26.  

    
    

    The expenses on rice, fish and oil of a family are in the ratio of 12 : 17 : 3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of the family are increased by

1. A. 25½ %     
2. B. 28(1/8) %        Correct Answer
3. C. 29¾ %      
4. D. 31(1/5) %      

27.  

    
    

    Find the fourth proportional to 3, 5 and 9

1. A. 11     
2. B. 15        Correct Answer
3. C. 18      
4. D. 25      

28.  

    
    

    Two numbers are respectively 20% and 50% more than a third number. These two numbers are in the ratio

1. A. 2 : 5     
2. B. 3 : 5      
3. C. 4 : 5        Correct Answer
4. D. 4 : 7      

29.  

    
    

    If 3A = 2B and 5C = 4B, then A:C = ?

1. A. 4 : 5     
2. B. 4 : 3      
3. C. 5 : 6        Correct Answer
4. D. 6 : 7      

30.  

    
    

    In an alloy, the ratio of copper and zinc is 5 : 2. If 1.250 Kg of zinc is mixed in 17 Kg 500 gm of alloy, then the ratio of copper and zinc in the alloy will be

1. A. 2 : 1       Correct Answer
2. B. 2 : 3      
3. C. 3 : 4      
4. D. 3 : 5      

31.  

    
    

    Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is

1. A. 36     
2. B. 39        Correct Answer
3. C. 42      
4. D. 47      

32.  

    
    

    If A : B : C = 2 : 3 : 4 then A/B : B/C : C/A = ?

1. A. 8 : 9 : 24       Correct Answer
2. B. 9 : 11 : 19      
3. C. 11 : 13 : 20      
4. D. 13 : 15 : 22      

33.  

    
    

    When 20% of a number is added to another number, the number increases by 50%. What is the ratio between the first and second number ?

1. A. 5 : 2       Correct Answer
2. B. 5 : 7      
3. C. 7 : 3      
4. D. 9 : 5      

34.  

    
    

    In a class, the number of girls is 20% more than that of boys. The strength of the class is 66. If 4 more girls are admitted to the class, what will be the ratio of the number of boys to that of the girls ?

1. A. 2 : 3     
2. B. 3 : 4        Correct Answer
3. C. 3 : 5      
4. D. 5 : 7      

35.  

    
    

    If y varies directly as (x + 4) and y = 6 when x = 1. What is the value of y when x = 2 ?

1. A. 36/5       Correct Answer
2. B. 37/9      
3. C. 41/7      
4. D. 43/5      

36.  

    
    

    hree equal glasses are filled with mixtures of spirit and water. The ratio of spirit and water is : 1st glass = 3:4, 2nd glass = 4:5 and 3rd glass = 5:6. The contents of three glasses are emptied into a single vessel. What is the ratio of spirit to water in the mixture now ?

1. A. 820 : 1059     
2. B. 860 : 1132      
3. C. 920 : 1159        Correct Answer
4. D. 970 : 1205      

37.  

    
    

    If a: b = c : d = e : f = 1 : 2 then (3a + 5c + 7e) : (3b + 5d + 7f) = ?

1. A. 1 : 2       Correct Answer
2. B. 2 : 3      
3. C. 3 : 4      
4. D. 4 : 5      

38.  

    
    

    The ratio between two numbers is 3 : 4. If each number is increased by 6, the ratio becomes 4 : 5. The difference between the number is

1. A. 6       Correct Answer
2. B. 9      
3. C. 11      
4. D. 13      

39.  

    
    

    If a : b = 2 : 3, b : c = 3 : 4, c : d = 4 : 5, find a : b : c : d

1. A. 3 : 5 : 12 : 15     
2. B. 4 : 5 : 12 : 15      
3. C. 4 : 7 : 12 : 15      
4. D. 6 : 9 : 12 : 15        Correct Answer

40.  

    
    

    A mixture contains milk and water in the ratio 5 : 1. On adding 5 liters of water, the ratio of milk to water becomes 5 : 2. The quantity of milk in the original mixture is

1. A. 25 liters       Correct Answer
2. B. 29 liters      
3. C. 33 liters      
4. D. 37 liters      

41.  

    
    

    If 1/x : 1/y : 1/z = 2 : 3 : 5 then x:y:z = ?

1. A. 15 : 10 : 6       Correct Answer
2. B. 15 : 15 : 8      
3. C. 20 : 10 : 8      
4. D. 20 : 15 : 6      

42.  

    
    

    1 : 3 = 12/3 :  x. The value of x is?

1. A. 1     
2. B. 3      
3. C. 4 (1/6)       
4. D. 5        Correct Answer

43.  

    
    

    The ratio of the number of male and female in a committee is 5:6. If the percentage increase in the number of male and female be 12% and 10% respectively, what will be the new ratio?

1. A. 33:28     
2. B. 28:33        Correct Answer
3. C. 27:34      
4. D. 34:27      
5. E. None of these      

44.  

    
    

    A manager divided Rs 234 into three workers P, Q and R such that 4 times P’s share is equal to 6 times Q’s share which is equal to 3 times R’s share. How much did P get?

1. A. Rs 82     
2. B. Rs 78        Correct Answer
3. C. Rs 56      
4. D. Rs 64      
5. E. None of these      

45.  

    
    

    A box contains the coins of 5p, 10p and 25p are in the ratio 3:3:5. If there is Rs. 34 in all, how many 10p coins are there?

1. A. 40     
2. B. 60        Correct Answer
3. C. 80      
4. D. 100      
5. E. None of these      

46.  

    
    

    The wages of Naveena and Menaka are in the ratio ratio 6:5. If the wages of each is increased by Rs.6000, the new ratio becomes 38:35. What is Menaka’s present salary?

1. A. 4000     
2. B. 5500      
3. C. 5000      
4. D. 4500        Correct Answer
5. E. None of these      

47.  

    
    

    Ratio of the salary of X & Y is 5:8. If the salary of X increase by 40% and those of Y decrease by 15%, the new ratio of their salary becomes 10:9. What is X’s salary?

1. A. 24000     
2. B. 25000      
3. C. 28000      
4. D. data inadequate        Correct Answer
5. E. None of these      

48.  

    
    

    The ratio of the number of UG students and PG students in a college is 5:4. If 40% of the UG students and 50 % of the PG students are scholarship holders. What percentage of the students does not get the scholarship?

1. A. 54.6%     
2. B. 55.2%      
3. C. 55.5%        Correct Answer
4. D. 54.3%      
5. E. None of these      

49.  

    
    

    Karan, Hari and Kowshik play cricket. The runs got by Karan to Hari and Hari to Kowshik are in the ratio of 5:3. They get altogether 588 runs. How many runs did Karan get?

1. A. 150 runs     
2. B. 300 runs      
3. C. 250 runs        Correct Answer
4. D. 200 runs      
5. E. None of these      

50.  

    
    

    The cost of 8A is equal to the cost of 50B. The cost of 19C is 456. The cost of B is twice the cost of 2C. What is the total cost of 3A and 4B together?

1. A. 2184       Correct Answer
2. B. 2168      
3. C. 2243      
4. D. 2264      
5. E. None of these      

51.  

    
    

    Divide Rs. 370 into three parts such that second part is 1/4 of the third part and the ratio between the first and the third part is 3 : 5. Find the amounts of these three parts respectively.

1. A. 50, 120, 200     
2. B. 120, 50, 200        Correct Answer
3. C. 200, 120, 50      
4. D. 200, 100, 50      
5. E. None of these      

52.  

    
    

    Two numbers are in the ratio of (1 ½): (2 2/3). When each of these is increased by 15, the ratio changes to 1 2/3: 2 ½. The larger of the numbers is,

1. A. 48       Correct Answer
2. B. 27      
3. C. 36      
4. D. 64      
5. E. 56      

53.  

    
    

    Chintu, Pintu and Mintu are three friends. Chintu is twice as old as Pintu and Mintu is as old as Cintu and Pintu together. Two years later, the ratio of age of Chintu and Mintu would be 7:10 what was the age of Pintu five years ago?

1. A. 2 years     
2. B. 4 years      
3. C. 5 years      
4. D. 1 years        Correct Answer
5. E. 8 years      

54.  

    
    

    Find the ratio of speed of A,B and C if for every 11 steps taken by A,B takes 12 steps and C takes 14 steps. Also 12 steps of A are equal to 14 steps of B and 16 steps of C.

1. A. 154:144:147       Correct Answer
2. B. 132:168:224      
3. C. 25:24:23      
4. D. None f these      
5. E. 161:123:113      

55.  

    
    

    The price of a ring varies jointly, with the cube root of number of diamonds and weight of gold used in it. The price of the ring was “10,000. When it had 64 diamonds and 15 gm of gold. Find the no. of diamonds if the price of ring was~` 10,500 and weight of gold was 21 gm.

1. A. 3     
2. B. 9      
3. C. 27        Correct Answer
4. D. 81      
5. E. 16      

56.  

    
    

    There are two containers A and B. Container A is filled with 30 liters of kerosene while container B is filled with 30 liters of water. Ten liters of kerosene is taken from container A and put in container B and then twelve liters of the mixture (of kerosene and water) is taken from container B and put in container A. Find the ratio of kerosene in A and B respectively.

1. A. 23:9     
2. B. 21:5      
3. C. 23:7        Correct Answer
4. D. 1:3      
5. E. None of these      

57.  

    
    

    In a school, students of class I and class II are going for a picnic to Surajkund and Badkal lake respectively. The ratio f number of students in class I and II is 5:3. Also the ratio of the contribution made by each student of class I and II is 19:17. If the total contribution made by the all the students of both the class is Rs.29200, then find the total contribution made by class II students only.

1. A. Rs.10950     
2. B. Rs.13789      
3. C. Rs.10200        Correct Answer
4. D. Rs.13272      
5. E. None of these      

58.  

    
    

    A donkey moves at a speed of 8 kmph, when no load is put on him. Reduction in the speed of donkey varies directly to the square root of the kgs of load put on him. When only 4 kgs of load is put the speed of the donkey becomes 6 kmph. Find the minimum load that can be put on the donkey with which it cannot move.

1. A. 64 kg        Correct Answer
2. B. 63.9 kg       
3. C. 65.2 kg      
4. D. Cannot be determined      
5. E. None of these      

59.  

    
    

    container has a mixture of kerosene and castor oil in the ratio of 7:5 and another container contains kerosene and castor oil in the ratio of 5:3. Find the proportion in which the mixtures from two containers should be mixed so that the resultant mixture has ratio of kerosene and castor oil of 3:2

1. A. 2:3     
2. B. 3:2        Correct Answer
3. C. 4:1      
4. D. 5:2      
5. E. None of these      

60.  

    
    

    The no. of pens in three different pencil boxes in the ratio of 1:2:3. Find the ratio in which the number of pens in the first and the second boxes must be increased so that the new ratio becomes 3:2:1.

1. A. 1:3     
2. B. 2:1        Correct Answer
3. C. 2:3      
4. D. 3:4      
5. E. None of these      

61.  

    
    

    There are three vessels 1, 2 and 3. The ratio of the total capacity of vessels 1, 2 and 3 is 5:4:3 respectively. All the vessels are full of mixture of sugar syrup and water. In vessel 1, ratio of sugar syrup to water is 2:3. Similar ratio in case of vessel 2 and vessel 3 is 5:4 and 1:3 respectively. The mixture of all the three vessels is emptied into one bigger vessel. What is the resulting ratio of sugar syrup and water?

1. A. 17:25     
2. B. 179:253        Correct Answer
3. C. 53:179      
4. D. 233:169      
5. E. None of these      

62.  

    
    

    A particular sum was divided among A, B and C in ratio 2:6:7 respectively. If the amount received by A was Rs. 4,908, what was the difference between the amounts received by B and C?

1. A. Rs. 2,454       Correct Answer
2. B. Rs. 3,494      
3. C. Rs. 2,135      
4. D. Rs. 2,481      
5. E. None of these      

63.  

    
    

    The average age of a man and his son is 30 years. The ratio of their ages four years ago was 10:3 respectively. What is the difference between the present ages of the man and his son?

1. A. 28 years       Correct Answer
2. B. 16 years      
3. C. 26 years      
4. D. 44 years      
5. E. None of these      

64.  

    
    

    The ratio between Gloria’s and Sara’s present ages is 4:7 respectively, Two years ago the ratio between their ages was 1:2 respectively. What will be Sara’s age three years hence?

1. A. 17 years       Correct Answer
2. B. 14 years      
3. C. 11 years      
4. D. 8 years      
5. E. None of these      

65.  

    
    

    The total number of students in a school is 31700. If the ratio of boys to the girls in the school is 743:842 respectively, what is the total number of girls in the school?

1. A. 14860     
2. B. 16480      
3. C. 15340      
4. D. Cannot be determined      
5. E. None of these        Correct Answer

66.  

    
    

    The ratio of the ages of A and B seven years ago was 3:4 respectively. The ratio of their ages nine years from now will be 7:8 respectively. What is B’s age at present?

1. A. 16 years     
2. B. 19 years      
3. C. 28 years      
4. D. 23 years        Correct Answer
5. E. None of these      

67.  

    
    

    The ratio of the ages of A and B is 4:3 respectively. The ratio of their ages eight years from now will be 6:5 respectively. How old was A, when B was 7 years old?

1. A. 16 years     
2. B. 11 years        Correct Answer
3. C. 9 years      
4. D. 12 years      
5. E. None of these      

68.  

    
    

    A sum of Rs. 10,980 is to be divided amongst A, B and C in the ratio 7:3:5 respectively.
    How much is C’s share?

1. A. Rs. 3,600     
2. B. Rs. 3,006      
3. C. Rs. 3,650      
4. D. Rs. 3,660        Correct Answer
5. E. Rs. 3,124      

69.  

    
    

    A sum of Rs. 10,980 is to be divided amongst A, B and C in the ratio 7:3:5 respectively.
    What is the sum of B’s and C’s share?

1. A. Rs. 5,685     
2. B. Rs. 5,865      
3. C. Rs. 5,897      
4. D. Rs. 5,873      
5. E. Rs. 5,856        Correct Answer

70.  

    
    

    A sum of Rs. 10,980 is to be divided amongst A, B and C in the ratio 7:3:5 respectively.
    What is the difference between A’s and B’s shares?

1. A. Rs. 2,196     
2. B. Rs. 2,928        Correct Answer
3. C. Rs. 2,961      
4. D. Rs. 2,289        
5. E. Rs. 2,982      

71.  

    
    

    The respective ratio between the present ages of father, mother and daughter is 7:6:2. The difference between mother’s and the daughter’s age is 24 years. What is the father’s age at present?

1. A. 43 years     
2. B. 42 years        Correct Answer
3. C. 39 years      
4. D. 38 years      
5. E. None of these      

72.  

    
    

    In a class of 60 students, where the girls are twice that of boys. Kamal ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is:

1. A. 3     
2. B. 7      
3. C. 12        Correct Answer
4. D. 13      
5. E. None of these      

73.  

    
    

    Two varieties of rice at Rs. 10 per kg and Rs. 12 per kg are mixed together in the ratio 1 : 2. What is the price of the resulting mixture?

1. A. Rs. 10.50 per kg     
2. B. Rs. 10.67 per kg      
3. C. Rs. 11.20 per kg      
4. D. Rs. 11.33 per kg        Correct Answer
5. E. None of these      

74.  

    
    

    If A varies directly proportional to C, and B also varies directly proportional to C, which one of the following is not correct?

1. A. (A + B) ∝ C     
2. B. (A – B) ∝ (1/C)        Correct Answer
3. C. √(AB) ∝ C      
4. D. (A / B) = constant      
5. E. None of these      

75.  

    
    

    If the ratio of the areas of two squares is 9 : 1, the ratio of their perimeters is:

1. A. 9 : 1     
2. B. 3 : 1        Correct Answer
3. C. 3 : 4      
4. D. 1 : 3      
5. E. None of these      

76.  

    
    

    The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, then the percentage of the students who did not get scholarship is:

1. A. 68%     
2. B. 78%        Correct Answer
3. C. 82%      
4. D. 72%      
5. E. None of these      

77.  

    
    

    In a mixture of 60 litres, the ratio of acid and water is 2 : 1. If the ratio of acid and water is to be 1 : 2, then the amount of water (in litres) to be added to the mixture is

1. A. 50     
2. B. 45      
3. C. 55      
4. D. 60        Correct Answer
5. E. None of these      

78.  

    
    

    Salaries of Akash, Babloo and Chintu are in the ratio of 2 : 3 : 5. If their salaries were increased by 15%, 10% and 20% respectively, what will be the new ratio of their salaries?

1. A. 3 : 3 : 10     
2. B. 23 : 33 : 60        Correct Answer
3. C. 20 : 22 : 40      
4. D. None of these      
5. E. Cannot be determined      

79.  

    
    

    If x : y = 3 : 4 then (7x + 3y) : (7x – 3y) is equal to :

1. A. 5 : 2     
2. B. 4 : 3      
3. C. 11 : 3        Correct Answer
4. D. None of these      
5. E. Cannot be determined      

80.  

    
    

    If A : B = 5 : 7 ; C : D = 2A : 3B then AC : BD is:

1. A. 20 : 38     
2. B. 50 : 147        Correct Answer
3. C. 10 : 21      
4. D. None of these      
5. E. Cannot be determined      

81.  

    
    

    If A : B = (1 / 2) : (3 / 8), B : C = (1 / 3) : (5 / 9) and C : D = (5 / 6) : (3 / 4) then the ratio A : B : C : D is

1. A. 6 : 4 : 8 : 10     
2. B. 6 : 8 : 9 : 10      
3. C. 8 : 6 : 10 : 9        Correct Answer
4. D. 4 : 6 : 8 : 10      
5. E. None of these      

82.  

    
    

    Out of the ratios 7 : 15, 15 : 23, 17 : 25, 21 : 29, the smallest one is

1. A. 21 : 29     
2. B. 17 : 25      
3. C. 7 : 15        Correct Answer
4. D. 15 : 23      
5. E. None of these      

83.  

    
    

    What must be added to each term of the ratio 7 : 13 so that the ratio becomes 2 : 3 ?

1. A. 5       Correct Answer
2. B. 1      
3. C. 2      
4. D. 3      
5. E. None of these      

84.  

    
    

    A bag contains Rs. 102 in the form of rupees. 50 paise and 10 paise coins in the ratio 3 : 4 : 10. The number of 10 paise coins is :

1. A. 340     
2. B. 60      
3. C. 80      
4. D. 170        Correct Answer
5. E. None of these      

85.  

    
    

    The ratio of males and females in a city is 7 : 8 respectively and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 1, 56, 800. What is the total population?

1. A. 245000     
2. B. 367500        Correct Answer
3. C. 396000      
4. D. 271500      
5. E. None of these      

86.  

    
    

    A man leaves Rs. 8600 to be divided among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew and each son receives five times as much as each nephew, how much does each daughter receive?

1. A. Rs. 100     
2. B. RS. 600      
3. C. Rs. 800        Correct Answer
4. D. Rs. 1000      
5. E. None of these      

87.  

    
    

    The ratio 2(1.5): 2(0.5) is the same as

1. A. 2 : 1       Correct Answer
2. B. 3 : 1      
3. C. 6 : 1      
4. D. 3 : 2      
5. E. None of these      

88.  

    
    

    The smallest integer, which when subtracted from both the terms of 6 : 7 gives a ratio less than 16 : 21 is

1. A. 5     
2. B. 4      
3. C. 3        Correct Answer
4. D. 2      
5. E. None of these      

89.  

    
    

    If 40 percent of a number is added in other number then it becomes 125 per cent of itself. What will be the ratio of first and second number ?

1. A. 8 : 5     
2. B. 5 : 7      
3. C. 5 : 8      
4. D. Data inadequate      
5. E. None of these        Correct Answer

90.  

    
    

    The ratio between the sale price and the cost price of an article is 7 : 5. What is the ratio between the profit and the cost price of that article?

1. A. 5 : 2     
2. B. 7 : 2      
3. C. 2 : 7      
4. D. Data inadequate      
5. E. None of these        Correct Answer

91.  

    
    

    A person bought some rice and wheat for Rs. 380. The ratio of weight of rice and wheat is 4 : 3 and the price of equal amount of rice and wheat is in the ratio 5 : 6. The rice was bought of worth

1. A. Rs. 380     
2. B. Rs. 300      
3. C. Rs. 200        Correct Answer
4. D. Rs. 180      
5. E. None of these      

92.  

    
    

    A person distributes his pens among four friends A, B, C, D in the ratio 1/3 : 1/4 : 1/5 : 1/6. What is the minimum number of pens that the person should have?

1. A. 57       Correct Answer
2. B. 65      
3. C. 75      
4. D. 45      
5. E. None of these      

93.  

    
    

    The third proportional of 12 and 18 is?

1. A. 3     
2. B. 6      
3. C. 27        Correct Answer
4. D. 144      
5. E. None of these      

94.  

    
    

    If x runs are second by A, y runs by B and z runs by C, then x : y = y : z = 3 : 2. If total number of runs scored by A, B and C is 342, the runs scored by each would be respectively

1. A. 144, 96, 64     
2. B. 162, 108, 72        Correct Answer
3. C. 180, 120, 80      
4. D. 189, 126, 84      
5. E. None of these      

95.  

    
    

    If A : B = 3 : 4 and B : C = 6 : 5, then C : A is

1. A. 10 : 9       Correct Answer
2. B. 9 : 10      
3. C. 8 : 9      
4. D. 9 : 8      
5. E. None of these      

96.  

    
    

    If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and (a + b + c) = 14, then the values of c is

1. A. 6       Correct Answer
2. B. 7      
3. C. 8      
4. D. 14      
5. E. None of these      

97.  

    
    

    If x : y = 3 : 4 and y : z = 3 : 4, then (x + y + z) / 3z is equal to

1. A. 13 / 27     
2. B. 1 / 2      
3. C. 73 / 84      
4. D. 37 / 48        Correct Answer
5. E. None of these      

98.  

    
    

    A man ordered a pairs of black socks and some pairs of brown socks. The price of a black socks is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was :

1. A. 2 : 1     
2. B. 1 : 4      
3. C. 1 : 2        Correct Answer
4. D. 4 : 1      
5. E. None of these      

99.  

    
    

    The ratio between a two digit number and the sum of the digits of that number is 4 : 1. If the digit in the unit’s place is 3 more than the digit in the ten’s place, the number is

1. A. 47     
2. B. 69      
3. C. 36        Correct Answer
4. D. 25      
5. E. None of these      

100.  

     
     

     Three number are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are

1. A. 8, 12 and 16     
2. B. 16, 24 and 32        Correct Answer
3. C. 12, 18 and 24      
4. D. Cannot be determined      
5. E. None of these