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Two pipes can fill a tank in 10 hrs and 15 hrs, respectively. However, leakage at the bottom of the tank delays the filling of the tank by 3 hrs when both the pipes are open simultaneously. How much time would the leak take to empty the full cistern?
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A cistern can be filled by two pipes filling separately in 12 and 16 mins, respectively. Both pipes are opened together for a certain time but being clogged, only seven -eighths of full quantity water flows through the former and only five- sixths through the latter pipe. The obstructions, however, being suddenly removed, the cistern is filled in 3 mins from that moment. How long was it before the full flow began?
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A tank can be filled by a tap in 20 mins and by another tap in 60 min. Both the taps are kept open for 10 min and then the first tap is shut of. After this, the tank will be completely filled in
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Pipe A can fill an empty tank in 30 hrs while B can fill it in 45 hrs. Pipes A and B are opened and closed alternatively i.e., first pipe A is opened, then B, again A and then B and so on for 1 hr each time without any time lapse. In how many hrs the tank will be filled when it was empty, initially?
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A vessel is fully filled with a special liquid. Four litres of liquid is drawn out of this vessel and is replaced with water. If the ratio of the special liquid to the water becomes 1:2, then what is the capacity of the vessel?
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A tap can fill a tank in 48 mins, whereas another tap can empty it in 2 hrs. If both the taps are opened at 11:40 a.m., then the tank will be filled at
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When the waste pipe is closed, two taps can separately fill a cistern in 10 and 12 mins respectively. When the waste pipe is opened they together fill it in 15 mins. How long does it take the waste pipe to empty the cistern, when the taps are closed?
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Two pipes A and B can fill a tank in 20 and 30 hrs, respectively. Both the pipes are opened to fill the tank but when the tank is one-third full, a leak develops in the tank through which one-fourth water supplied by both pipes goes out. What is the total time taken to fill the tank?
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A cistern has 3 pipes A, B and C. A and B running alone can fill it up in 2 hrs and 3 hrs respectively, while C is a waste pipe. If all the 3 pipes be opened at once, 7.24 of the cistern will be filled up in 30 mins. In what time can C empty the full cistern?
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A cistern has a leak which would empty it in 8 hrs. A tap is turned on which admits 6 litres a minute into the cistern and it is now emptied in 12 hrs. The cistern can hold
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A bath can be filled by the cold water pipe in 10 mins and by hot water pipe in 15 mins (independently each). A person leaves the bathroom after turning on both pipes simultaneously and returns at the moment when the bath should be full. Finding, however, that the waste pipe has been opened he now closes it. In 4 mins more, bath is full. In what time would be the waste pipe empty it?
Showing posts with label Question. Show all posts
Showing posts with label Question. Show all posts
Pipes and Cisterns Problems with Solutions
A father said to his son I was as old as you are at the present
- A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
- A. 14 years
- B. 19 years
- C. 33 years
- D. 38 years
- Answer & Explanation:Suppose the son's current age is x years. Then, (38 - x) = x⇒ 2x = 38.⇒ x = 19.Son's age 5 years back (19 - 5) = 14 years
- Related Question:
- At present, the sum of ages of 4 people is 76. After 7 years, the ratio will be 7:6:5:8. Find out the present age of C?
- A. 12
- B. 11
- C. 17
- D. 13
- Answer : D ( 13 )
- In a class, there are 20 boys whose average age is decreased by 2 months, when one boy age 18 years is replaced by a new boy. The age of the new boy is
- A. 14 years 8 months
- B. 16 yews 4 months
- C. 15 years
- D. 17 years 10 months
- Answer : A ( 14 years 8 months )
- Jayesh is as much younger to Anil as he is older to Prashant. If the sum of the ages of Anil and Prashant is 48 years. What is the age of Jayesh?
- A. 20 years
- B. 24 years
- C. 30 years
- D. Cannot be determined
- Answer : B ( 24 years )
- Four years ago, the father’s age was three times the age of his son. The total of the ages of the father and the son after four years, will be 64 years. What is the father’s age at present?
- A. 32
- B. 33
- C. 36
- D. 38
- Answer : C ( 36 )
- A father's age is three times the sum of the ages of his two children, but 20 years hence his age will be equal to the sum of their ages. Then the father's age is
- A. 30 years
- B. 40 years
- C. 35 years
- D. 45 years
- Answer : A ( 30 years )
- The ratio of the ages of the father and the son at present is 7:1. After 4 years, the ratio will become 4:1. What is the sum of the present ages of the father and the son?
- A. 29 years
- B. 35 years
- C. 32 years
- D. None of these
- Answer : C ( 32 years )
- In a cricket 11, the average age of 11 players is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years and 30 years, respectively. If in these groups, the captain and the youngest player are not included and the captain is eleven years older than the youngest player, what is the age of the captain?
- A. 33 years
- B. 34 years
- C. 35 years
- D. 36 years
- Answer : C ( 35 years )
- The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
- A. 8, 20, 28
- B. 16, 28, 36
- C. 20, 35, 45
- D. None of these
- Answer : B ( 16, 28, 36 )
- The average age of an adult class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the average by 4 years. The original strength of the class was
- A. 10
- B. 11
- C. 12
- D. 15
- Answer : C ( 12 )
- The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A?
- A. C is younger than A
- B. 6
- C. 12
- D. 24
- Answer : C ( 12 )
Reema can complete a piece of work in 12 days while Seema
- 👉 Reema can complete a piece of work in 12 days while Seema can the same work in 18 days. If they both work together, then how many days will be required to finish the work?
- A. 6 days
- B. 7.2 days 👈 Correct Answer
- C. 9.5 days
- D. 12 days
- 👉 Answer & Explanation:
Reema can complete a piece of work in 12 days, So Reema 1 Day's work will be 1/12Seema can complete a Same piece of work in 18 days, So Seema 1 Day's work will be 1 / 18Combine 1 Day's Work of Reema and Seema ⇒ 1/12 + 1/18So combined 1 Day work 1/12 + 1/18 ⇒ (6 + 4)/72 ⇒ 5 / 36: : combinely they (Reema and Seema) will acomplish the task in 36 / 5 Days ⇔ 7(1/5)7.2 days
- Related Question Like Reema can complete a piece of work:
- 20 men and 20 women can complete half of the work in 20 days working with alternatively. If 10 men and 20 boys together can complete the whole work in 10 days, then find the number of days required by 20 boys alone complete the Remaining work?
- A. 12 days
- B. 11 days
- C. 10 days
- D. 12 days
- Answer : C ( 10 days )
- 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?
- A. 6
- B. 6 (1/3)
- C. 6 (2/3)
- D. 7 (2/3)
- Answer : C ( 6 (2/3) )
- Two candles of the same height are lighted at the same time. The first is consumed in 4 h and the second in 3 h. Assuming that each candle burns at a constant rate, in how many hrs after being lighted was the first candle twice the height of the second?
- A. 3/4 h
- B. 1 1/2 h
- C. 2 h
- D. 2 2/5 h
- Answer : D ( 2 2/5 h )
- A can complete 2/3 of the work in 6 days. If A and B together the complete the work in 6 days, then find the time required by C, who is twice efficient than B? June 28, 2018
- A. 9 days
- B. 7 days
- C. 12 days
- D. 5 days
- Answer : A ( 9 days )
- 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
- A. 35
- B. 40
- C. 50
- D. 45
- Answer : B ( 40 )
- Twenty women can do a work in sixteen days. Sixteen men can completed the same work in fifteen days. What is the ratio between the capacity of a man and women?
- A. 3:4
- B. 4:3
- C. 5:3
- D. Data inadequate
- Answer : B ( 4:3 )
- Robin, the cook, can cut either 120 carrots or 72 potatoes or 60 beetroots in t mins. One day, during the first K mins, he spent an equal amount of time cutting each of the three types of vegetables. However, in the next K mins, he cut exactly n carrots, n beetroots and n potatoes. If he cut a total of 282 vegetables during the first 2K mins on that day, what is the value of n?
- A. 225
- B. 75
- C. 45
- D. 135
- Answer : C ( 45 )
- Ten women can complete a piece of work in 15 days. Six men can complete the same piece of work in 10 days. In how many days can five women and six men together complete the piece of work?
- A. 15 days
- B. 7.5 days
- C. 9 days
- D. 12.5 days
- Answer : B ( 7.5 days )
- 7 men can complete a piece of work in 12 days. How many additional men will be required to complete double the work in 8 days?
- A. 28
- B. 21
- C. 14
- D. 7
- Answer : C ( 14 )
- Karthi is 40% more efficient than Rajesh, and Karthi can alone do a work in 20 days. If they working in alternative days starts with Karthi, then in how many days the work will get completed?
- A. 21 (1/7) days
- B. 26 (2/5) days
- C. ys18 (6/17) days
- D. 23 (1/5) days
- Answer : D ( 23 (1/5) days )
Simple Interest Word Problems and Question with Solutions PDF
Simple Interest :
When we need money, we borrow money from individuals or banks or finance companies. At the time of returning the money, we have to pay some additional money for the benefit of using the money borrowed for a specified period.
Principal is the sum of money borrowed.
Interest is the additional money to be given.
Amount = Principal + Interest
A = P + I
Formula for Simple Interest :
Let
p be the principal
r be the rate of interest
n be the number of years
|
Unitary Method :
Example : Let the cost of 5 books be Rs. 50. We have to find the cost of 10 books. From the cost of 5 books, we find the cost of one book and then we find the cost of 10 books.
The cost of 5 books = Rs. 50
∴ The cost of 1 book = 50 / 5 = Rs. 10
∴ The cost of 10 books = 10 × 10 = Rs. 100
The above process of finding the cost of 10 books is known as unitary method. Thus the unitary method is a process in which we find the value of the required quantity by converting the given quantity into one unit. We use unitary method to calculate the simple interest .
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- The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:
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- The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
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- The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:
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- The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:
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- The compound interest on a sum for 2 years is Rs. 832 and the simple interest on the same sum for the same period is Rs. 800. The difference between the compound and simple interest for 3 years will be
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- A sum of money doubles itself at(c) I in 15 years. In how many years will it become eight times?
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- A certain amount of money is invested at the simple interest of 15% per annum. If it had been invested at compound interest, an extra interest of Rs. 450 would have been obtained in the obtained in the second year. What must be the amount invested?
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- Find the amount paid by a borrower after 3 years, if he has taken a loan of Rs. 5000 at 10% per annum, simple interest.
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- Find the amount of money that Abha should lend at 15% p.a If she wants to earn an interest of Rs. 675 in 2(1 / 2) years.
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- A sum of money amounts to Rs. 1650 in two years and to Rs. 1875 in five years. Find the principal and rate of simple interest.
- A. P=1500, r=5% Correct Answer
- B. P=2000, r=5%
- C. P=1000, r=4%
- D. Cannot be determined
- E. None of these
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- A certain sum of money amounts to Rs. 15,500 in 2 years at simple rate of interest of 12% p.a. Find the principal.
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- A sum of money doubles itself in 6 years. In how many years will it becomes 6 times at the same rate of simple interest?
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- Abhishek lent Rs. 10500, partly to Shahid at 10% p.a. S.I and partly to John, at 15% p.a., S.I. If at the end of 5 years, total amount received by Abhishek, from both, was equal to Rs. 17375, then find the amount of money lent to Shahid.
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- Sachin would have paid Rs. 5280, at the end of 4 years, for a sum of money borrowed, at rate of 8% p.a. S.I. If he wants to repay his loan an year before it was due, then what is the amount paid by him?
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- Vishwas borrowed a total amount of Rs. 30000 part of it on simple interest rate of 12 p.c.p.a. and remaining on simple interest rate of 10 p.c.p.c. If at the end of 2 years he paid in all Rs. 36480 to settle the loan amount, what was the amount borrowed at 12 p.c.p.a?
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- Veena obtained an amount of Rs. 8376 as simple interest on a certain amount at 8 p.c.p.a. after 6 years. What is the amount invested by Veena?
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- If the simple interest for 6 years be equal to 30% of the principal, then it will be equal to the principal after
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- Jackie invested Rs. 12000 in a bank at 15% p.a., C.I. He pays 40% of his income from interest to a charitable trust every year. How much money does Jackie have after 4 years ?
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- A mobile phone can be purchased on cash payment of Rs. 7500. The same phone can also be purchased by making a down payment of Rs. 1750 and rest can be paid in 3 equal installments of Rs. 2000 each for next 3 months. The rate of simple interest charged by the shopkeeper is
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- C.I and S.I on a certain amount of money for 2 years is Rs. 525 and Rs. 500 respectively. If the amount is invested such that S.I is Rs. 4050 while no. of years is double the rate per cent per annum, then find the time (in years) –
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- Abhimanyu deposited RS. 55935 in each of the two banks for 5 years. On one he got 20% p.a. S.I while on the other he got 20% C.I p.a By how much % is the CI greater than the SI for the given period?
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- A car depreciates at a certain rate. The current value of the car is estimated to be Rs. 32.768. Also, the ratio of decrease in the value for 4 year and 5 year is 5 : 4. Find the value of the car 5 years ago.
- A. Rs. 1,00,000 Correct Answer
- B. Rs. 1,50,000
- C. Rs. 2,00,000
- D. None of these
- E. Cannot be determined
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- Basanti took a loan of Rs. 12,500 at 10% p.a. compounded annually, which is to be repaid in 3 equal installments, paid at the end of each year for 3 years. Find the value of each installment.
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- A certain sum of money lent out at simple interest amounts to Rs. 1380 in 3 years and Rs. 1500 in 5 years. Find the rate per cent, per annum.
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- The simple interest on a sum of money is 1/16 of the sum. If the number of years is numerically equal to the rate percent per annum, then the rate percent per annum is
-
- If x, y, z are three sums of money such that y is the simple interest on x and z is the simple interest on y for the same time and at the same rate of interest, then we have
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- The difference between the interest received from two different banks on Rs. 500 for 2 years is Rs. 2.50. The difference between their rate is:
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- Rs. 58,750 amounts to Rs. 79,900 in four years at simple interest. What is the rate of interest paid?
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- How much will a sum of Rs.12,0007 deposited at a rate of 9% per annum (simple interest)for 13 years amount to ?
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- The simple interest accrued in 2 years on a principal of Rs.24000 is one-eighth of the principal. What is the rate of simple interest p.c.p.a?
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- Mr.Phanse invests an amount of Rs.24,200 at the rate of 4 p.c.p.a for 6 years to obtain a simple interest. Later he invests the principal amount as well as the amount obtained as simple interest for another 4 years at the same rate of interest. What amount of simple interest will he obtain as the end of the last 4 years?
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- In how many years will Rs. 4400 amount to Rs. 5984 at 4 p.c.p.a simple interest?
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- What would be the compound interest obtained on an amount of Rs. 7,790 at the rate of 10 p.c.p.a. after two years?
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- What is the difference between the simple and compound interest earned from a sum of Rs.13,033 at a rate of 13 percent per annum for a period of 3 years (rounded off to 2 digits after decimal)?
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- How much will a sum of Rs.7,250 amount to in a span of 2 years, at 6 p.c.p.a rate of compound interest (Rounded off to the nearest integer)?
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- A sum of Rs.3200 becomes Rs.3456 in two years at a certain rate of simple interest. What is the rate of interest per annum?
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- A sum of Rs.2200 is invested at two different rates of interest. The difference between the interests got after 4 years is Rs.202.40. What is the difference between the rates of interest?
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- If the rate of interest per annum increase from 8 1/3 % to 9 3/8 % then a person’s annual income from interest increases by Rs.100. What was the amount invested?
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- The simple interest on a sum of money is ¼ of the Principal and the number of years is equal to the rate percent annum. What is the rate per cent annum is
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- A sum lent at 7% per annum will produce as much as simple interest in 2 years as Rs.1750. lent at 55 will produce in 4 years. Find the sum
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- How long will Rs.1320 take to yield Rs.198 simple interest at 2 ½% per annum.
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- The simple interest on a sum of money is (1/9) of principal and the number of years equal to the rate percent per annum. What is the rate percent per annum.
a) 2 (1/3)%
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- Calculate the compound interest for Rs.1000 at 5% compound interest for 2 years.
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- Find the compound interest for Rs.1000 at 10% for 1 ½ years when interest is accounted at every six mouths.
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- A sum yields interest of Rs.3783 in 3 years at 5% per annum of compound interest. What is the sum?
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- A sum of Rs.16400 is borrowed to be paid back in 2 years by equal payments allowing 5% compound interest. Find the annual payment.
-
- Rs.800 at 5% per annum compound interest amounts to Rs.882. What is the period?
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