Question 1: Find the amount and the compound interest on Rs. in years at ; interest being compounded annually.

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Question 2: Calculate the amount, if Rs. is lent at compound interest for years and the rates for the successive years are p.a. and p.a. respectively.

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Question 3: Calculate the compound interest accrued on Rs. in years, compounded yearly, if the rates for the successive years are and respectively.

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Question 4: What sum of money will amount to Rs. in years at per annum compound interest?

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Question 5: On what sum of money will be compound interest for years at per cent per annum amount to Rs ?

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Question 6: Find the sum on which the compound interest for years at per annum amounts to Rs. .

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Question 7: What principal will amount to Rs. in two years, if the rates of interest for Question successive years are and respectively?

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Question 8: On a certain sum, the compound interest in years amounts to Rs. . If the rates of interest for successive year are and respectively, find the sum.

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Question 9: At what rate per cent per annum will Rs. amount to Rs. in years when interest is compounded annually?

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Question 10: At what rate per cent compound interest, does a sum of money become times of itself in years?

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Question 11: At what rate per cent will a sum of Rs. yield Rs. as compound interest in years? [2013]

Answer:

Given

Question 12: A person invests Rs. for three years at a certain rate of interest compounded annually. At the end of two years this sum amounts to Rs. . Calculate;

- The rate of interest per annum
- The amount at the end of the third year.

Answer:

At the end of third year

Question 13: In how many years will Rs. amount to Rs. at per cent per annum compound interest?

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Question 14: Find the time, in years, in which Rs. will produce Rs. as compound interest at p.a. interest being compounded annually.

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Question 15: Divide Rs. between and so that when their shares are lent out at compound interest compounded per year, the amount that receives in years is the same as what receives in years.

Answer:

Let the share of . Therefore share of .

For A

For B

Given

Therefore B’s share =

Question 16: A sum of Rs. is divided between and , years and years old respectively in such a way that if their shares be invested at per annum compound interest, both will receive equal money at the age of years. Find the shares of each out of Rs. .

Answer:

Let the share of Rs. Therefore share of Rs.

For A

For B

Given

Therefore B’s share =

Question 17: A sum of Rs. is divided between and , years and years old respectively, in such a way that if their portions be invested at per annum compound interest, they will receive equal amounts on reaching years of age.

- What is the share of each out of Rs. ?
- What will each receive, when years old?

Answer:

Let the share of Rs. Therefore share of Rs.

For A

For B

Given

Therefore B’s share =

Question 18: At the beginning of year 2011, a man had Rs. in his bank account. He saved some money by the end of this year and deposited it in the bank. The bank pays per annum compound interest and at the end of year 2012 he had Rs. in his bank account. Find, what amount of money at the end of year 2011.

Answer:

Lets us say he saves and deposits at the end of year 2011.

Question 19: If the amounts of two consecutive years on a sum of money are in the ratio , find the rate of interest.

Answer:

Given

Question 20: On what sum of money will the difference between the compound interest and simple interest for years be equal to Rs. , if the rate of interest charged for both is p.a.?

Answer:

Let the

Simple Interest

Compound Interest

Given

Question 17 ii part not mentioned

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