Percentage Problems and Solutions
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- Swetha could save 20% of his salary. But 3 yrs later when her salary is increased by 40%, she could save the same amount only as before. By how much percent has her expenditure increased?
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Ramesh scored 430 marks in an examination and Savitha got 72 percent marks in the same examination which is 70 marks less than Ramesh. If the minimum passing marks in the examination is 35 percent, then find the minimum passing marks in the examination?
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A number on subtracting 14 from it, reduces to 90% of the same number. What is the number?
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The difference between 45% of a number and 25% of the same number is 16, what is 7.5% of that number?
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Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
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In a poll, Raghu got 84% of the total valid votes. If 25 % of the total votes were declared invalid and the total numbers of votes is 884000, find the number of valid vote polled in favour of Raghu.
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The price of rice is reduced by 2%. How many kilograms of rice can now be bought for the money which was sufficient to buy 49 kg of rice earlier?
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A student has to secure a minimum 35% marks to pass in an examination. If he gets 200 marks and fails by 10 marks, then the maximum marks are:
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A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had
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Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
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In a class of 60 students and 6 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 25% of the total number of students. How many sweets were there?
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A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
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Harini scored 20% marks and failed by 10 marks, Stenika scored 30% marks and obtained 25 marks more than those required to pass. Find the passing marks and 42 % of the maximum marks?
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Adding 20% of x to x is equivalent to multiplying x by which of the following?
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The difference between 20% of a number and 4/5 of the same number is 2499. What is 2/7 of that number ?
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Due to an increase of 15% in price of milk, a family reduces its consumption of milk by 15%. What is the effect in the expenditure of the family on account of milk ?
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Vaishali got 40 % of total marks in an examination and failed by 5 marks. However, Preethi who took the same examination got 50 % of the total marks and got 10 marks more than the passing marks. What were the passing marks in the examination?
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If 12% of 75% is greater than 5% of a number by 75, the number is
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How many litres of pure acid are there in 8 litres of a 20% solution?
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From a container having pure milk, 20% is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is
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Rubina decided to donate 16% of her monthly salary to an NGO. On the day of donation she changed her mind and donated Rs. 6,567 which was 75% of what she had decided earlier. How much is Rubina’s monthly salary ?
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The total number of students in a school is 5600 out of which 60% are boys, what is the total number of girls in this school?
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10% of salary of P is equal to 30% of salary of Q and 20 % of salary of Q is equal to 40 % of salary of R. If R’s income is Rs. 4000, then the total income of P, Q and R is?
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A sum of Rs. 2,236 is divided among A, B and C such that A receives 25% more than C and C receives 25% less than B. What is A’s share in the amount ?
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In a cricket between 2 teams, Team ‘x’ gets 70% of the total score and defeated team ‘y’ by 72 runs. The no of runs scored by winner?
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Kavi scored 92 marks in Computer. He scored 64% marks in Hindi and X marks in GK. The maximum marks for each subject is 200. The overall percentage of marks obtained by Kavi in all three subjects together is 65%. How much marks did Kavi score in GK?
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If the numerator of a fraction is increased by 300% and the denominator is increased by 200%, the resultant fraction is 4/15. What is the original fraction ?
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The present population of a city is 12000. The population is increased by 10% in first year, and it is decreased by 20% in next year and third year 15% of the people is increased. What will be the population after 3 years?
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The value of Xerox machine depreciates at the rate of 10 % per annum. If the cost of machine at present is Rs. 75,000 then what was the value of machine before 2 years?
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The monthly income of Guru and Vinothini together is Rs. 52,200. The income of Guru and Vinothini is increased by 20% and 12% respectively. The new income of Vinothini is Rs. 2784 more than the new income of Guru. What is the new income of Vinothini?
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In a competitive exam, 50% of total candidates failed in current affairs, 40% of candidates failed in aptitude and 10% in both. Find the percentage of those who passed in both the sections?
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What quantity of water should be added to reduce 5 litres of 45% acidic liquid to 25% acidic liquid?
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Moni scored 83 marks in Mathematics. He scored 66% marks in Science and X marks in English. The maximum marks for each subject is 250. The overall percentage of marks obtained by Moni in all three subjects together is 64%. How much marks did Moni score in english?
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Entry fee in an examination was Re. 1. Later, this was reduced by 25% which increased the sale by 20%. The percentage increase in the number of visitors is
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The cost of manufacturing one unit of an article goes up by 2% in 1992 and 5% in 1993. Find the net % increase in the cost till 1993. Also find the cost in 1993, if it was Rs. 500, in 1992 (before increase).
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Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
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Rahul went to a shop and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
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Puneet scored 175 marks in a test and failed by 35 marks. If the passing percentage of the test is 35%, what are the maximum marks of the test?
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In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
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If 50% of a number is added to 50, the result is the number itself, then the number is
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If a man after spending 85% of the income he saves Rs. 4560 per month, his monthly income is
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What percent of a day is 6 hours
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In an examination, 5% of the applicants were found ineligible and 85% of the eligible candidates belonged to the general category. If 4275 eligible candidates belonged to other categories, then how many candidates applied for the examination?
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Income of A is 120% of the income of B and income of C is 110% of the income of A. If the total income of A, B and C together is Rs. 88,000, then the income of C is?
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Two numbers are less than the third number by 50% and 54% respectively. By how much per cent is the second number less than the first number ?
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The price of a car is first increased by 10%& then decreased by 15%. What is the net percentage change in price of the car ? Also find the new price if the price was initially Rs. 2,40,000.
- A. Rs. 2,48,000
- B. Rs. 2,24,000 Correct Answer
- C. Rs. 2,42,000
- D. Cannot be determined
- E. None of these
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When 15% is lost in grinding wheat, a country can export 30 lakh tons of wheat. On the other hand, if 10% is lost in grinding, it can export 40 lakh tons of wheat. The production of wheat in the country is
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A number is first decreased by 30%. The decreased number is then increased by 25%. The resulting number is less than the original number by 50. Then the original number is?
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A number on subtracting 14 from it, reduces to 90% of the same number. What is the number?
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In a class of 60 students and 6 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 25% of the total number of students. How many sweets were there?
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What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
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Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
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Raja’s monthly salary is equal to 48 % of Anu’s monthly salary. Anu’s monthly salary is Rs. 24000 less than Baghya’s monthly salary. If Baghya’s monthly salary is Rs. 48000. What is Raja’s annual salary?
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When 35 is subtracted from a number; it reduces to its 80 %. Find the four-fifth of that number.
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If 12% of 75% is greater than 5% of a number by 75, the number is
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The population of a town increase annually by 20% . If the present population is 2,00,000, then what is the difference in population after two years and three years
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Tirupati sells a calculator to Ashokan. Ashokan, offered him a sum of money for which he refused as being 13% below the value of the calculator. Ashokan then offered him Rs. 45 more and the second offer was 5% more than the estimated value. The value of the calculator is
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In a class 200 students, if the ratio of boys and girls in a class is 5 : 3. If 24% of the boys and 20% of the girls are Sports students, find the % of students who are not in sports?
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If increasing 20 by P percentage gives the same result as decreasing 60 by P percentage, what is P percentage of 70?
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In a train, 40% of the people are Males. 60% of the remaining are Females and the remaining 720 are children’s. Find the total number of peoples in a train?
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Mr. Giridhar spends 50% of his monthly income on household items and out of the remaining he spends 50% on transport, 25% on entertainment, 10% on sports and remaining amount of Rs. 900 is saved. What is Mr. Giridhar’s monthly income ?
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The length of the rectangular field is increased by 25%. By what percent must the width be reduced so that the area in each case remains the same ?
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Pradeep invested 20% more than Mohit. Mohit invested 10% less than Raghu. If the total sum of their investment is Rs.17880, How much amount did Raghu invest?
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Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
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Hari had three note books X, Y, Z. of these, X had 120 pages less. Y had 10% more pages and Z had 10% less pages. If he tore roughly 5 %, 10% and 15% of pages in X, Y and Z respectively, then what percent of pages did he tear out?
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Vishakha spent Rs. 68,357 on the renovation for her home, Rs. 25,675 on buying music system and the remaining 28% of the total amount she had as cash with her. What was the total amount ?
- A. Rs. 94, 032
- B. Rs. 36,568
- C. Rs. 1,30,600 Correct Answer
- D. Cannot be determined
- E. None of these
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Last year there were 610 boys in a school. The number decreased by 20 percent this year. How many girls are there in the school if the number of girls is 175 percent of the total number of boys in the school this year ?
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A fruit seller had some oranges. He sells 40% oranges and still has 420 oranges. How many oranges he had originally?
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In a class of 35 students and 6 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many sweets were there ?
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Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
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A sum of Rs. 395 was divided among A, B, and C in such a way that B gets 25% more than A and 20% more than C. What is the share of A?
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In a Town 62% of the population is male and remaining are females. Out of the males 74% are literate and remaining is illiterate. Out of females 65% are literate and remaining is illiterate. If total number of illiterate population is 29420, then the population of the town is?
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The difference between 45% of a number and 25% of the same number is 16, what is 7.5% of that number?
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Ratan bought a car at a discountof 16.67% on listed price from an automobile company. If the listed price of the car is Rs. 6,60,000, then find the amount of discount.
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If M = y% of z and B = z% of y, then which of the following must be true?
- A. M is lesser than N
- B. M is more than N
- C. Relation between M and N cannot be determined
- D. None of these
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A conductor pays 25% more to a male worker than what he pays to the female worker. How much percent less does the conductor pay to the female worker than the male worker ?
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The total salary of Kiran and Varnan in an organisation is Rs. 28000. Kiran & varnan’s salary is increased by 6% and 8% respectively, then their increased total salary will be Rs. 29940. Find the salary of Kiran?
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The cost of a camera is Rs.2000 more than that of a phone. If 3 phones and 3 camera cost is Rs.24000, by what percent is the cost of the phone less than the cost of the camera?
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If a man after spending 85% of the income he saves Rs. 4560 per month, his monthly income is
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A’s salary is 50% more than that of B’s. How much percent is B’s salary less than A’s?
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Three times a number is 20% more than twice another number when increased by 105. If twice the first number increased by 36 is 20% less than three times of the second number, then what is the first number?
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What is 15 percent of Rs. 34 ?
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The mean annual salary paid to all employees of company was Rs. 8,000. The mean annual salaries paid to male and female employees were Rs. 7,000 and Rs. 12,000 respectively. What is the percentage of male workers in the company ?
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Vipul decided to donate 5% of his salary. On the day of donation he changed his mind and donated Rs. 1687.50 which was 75% of what he had decided earlier. How much is Vipul’s salary ?
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The difference between two numbers is 1550. If 8 % of one number is 10 % of the other number, then find the two numbers
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In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got was
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Prithvi spent Rs. 89,745 on his college fees, Rs. 51,291 on Personality Development Classes and the remaining 27% of the total amount he had as cash with him. What was the total amount ?
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In an examination, Mani scored 45% marks and failed by 18 marks. In the same examination, Radhika scored 54% marks and get 27 marks more than the passing marks. What is the score of Mohan in the same examination, who secured 75 % marks?
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In a class 125 students, if the ratio of boys and girls in a class is 3: 2. If 24% of the boys and 20% of the girls are interested in dance, then find the % of students who are all not interested in dance?
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If 50% of a number is added to 50, the result is the number itself, then the number is
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Puneet scored 175 marks in a test and failed by 35 marks. If the passing percentage of the test is 35%, what are the maximum marks of the test?
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In an election between two candidates, one got 52% of the valid votes. 25% of the total votes were invalid. The total number of votes were 8400. How many valid votes did the other person get?
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In an election between two candidates, one got 52% of total valid votes. 25% of the total votes were invalid. The total number of votes were 8400. How many valid votes did the other person get ?
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The worth of a product depreciates at the rate of 20% per annum. If its present value is 264000. What will be its worth after 2 years? What was the worth of the product 2 years ago?
- A. Rs. 168960, Rs.412500 Correct Answer
- B. Rs. 178560, Rs. 442908
- C. Rs. 153490, Rs. 526884
- D. Rs. 184560, Rs. 425797
- E. None of these
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Kajal spends 55% of her monthly income on grocery, clothes and education in the ratio of 4 : 2 : 5 respectively. If the amount spent on clothes is Rs. 5,540. What is Kajal’s monthly income ?
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What value will you obtain if twenty five percent of 2340 is subtracted from four-ninth of square of 36 ?
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Yuva gave 25% of a certain amount of money to Ram. From the money Ram received, he spent 20% on buying books and 35% on buying a watch. After the mentioned expenses, Ram has 2700 remaining. How much did Yuva have initially?
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The value of lathe machine depreciates at the rate of 10 % per annum. If the cost of machine at present is Rs. 160,000, then what will be its worth after 2 years?
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Sivaram regularly saves 60% of his monthly salary. On account of a rise in price he has to increase his monthly expenses by 20%. Now he is able to save Rs. 10,400 per month. What is his monthly salary ?
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What percent is 2 minutes 24 seconds of an hour?
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