Cluster · Simple and Compound Interest Calculations

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Simple and Compound Interest Problems
Questions
1,283
Questions in this cluster
1,281 total
Question Category Subtype Difficulty

The simple interest on a sum of money is 1/4th of the principal amount and the number of years is equal to the interest rate per year. What is the rate of interest?

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reasoning simple_interest intermediate

A person invests in a bond (at compound interest) which gives a return of 8% for first two years and 47% for next two years. If he invested the same amount in some bond which gives return constantly at x% p.a., then what is the value of x for which the amounts received after 4 years in both the investments are same?

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reasoning compound_interest intermediate

The simple interest on a sum of ₹ x at 8.5% p.a. for 12 years is ₹ 3298 less than the amount of the same sum invested at the same rate 4(4/5) years at simple interest. The value of x is:

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reasoning simple_interest intermediate

On what sum will be the simple interest at a rate of x% p.a. in x years will be ₹ x?

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reasoning simple_interest intermediate

The difference between the compound interest compounded annually and the simple interest on a certain sum of money for 2 years at 4% per annum is ₹20.00. The principal amount is:

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mp_police simple_interest intermediate

If the compound interest on a certain sum of money for 3 years at 5% per annum is ₹3,783, then what would be the simple interest on the same sum of money for the same period and at the same rate?

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mp_police simple_interest intermediate

The rate at which a sum becomes four times of itself in 12 years at simple interest will be:

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mp_police simple_interest intermediate

If Ramesh borrows a certain amount from Vikram at simple interest at the rate of 7.5% per annum for four years. What is the principal amount if the total interest that Ramesh has to pay is Rs. 18600?

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mp_police simple_interest intermediate

At what annual rate of compound interest, compounded semi-annually, will ₹57,600 become ₹72,900 in one year?

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mp_police compound_interest intermediate

Find the difference between compound interest and simple interest on a sum of Rs.15000 for 2 years at 8% per annum.

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mp_police simple_interest intermediate

On a sum, simple interest at the annual rate of 12 percent for 6 years is Rs. 28800. What will be the compound interest on the same sum at the annual rate of 20 percent (compounding annually) for 2 years?

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mp_police simple_interest intermediate

Rs. 7205 are invested in a scheme of compound interest (compounding annually). If the rate of interest is 20% per annum, then what is the interest earned (in Rs) in 1 year?

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mp_police compound_interest intermediate

The amount of 22,700 is lent out in two parts in such a way that the simple interest on one part at 15% for 4 years is equal to the simple interest on the second part at 10% for 6 years. The part of the sum lent out at 15% is:

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mp_police simple_interest intermediate

How much interest would Sonia have to pay on a loan of Rs.25,000 at the rate of 12% p.a. compounded quarterly for the period of 1 year (rounded off to two decimal places)?

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mp_police intermediate

What is the maturity value of Rs. 25000 at the end of 2 years at 9.25% simple interest?

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mp_police simple_interest intermediate

A loan is to be returned in two equal yearly installments. If the rate of interest is 10%p.a. compounded annually and each installment is Rs 5,808, then 60% of the total interest (nearest to a Rs) charged in this scheme is:

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mp_police intermediate

P borrows ₹5,00,000 from the bank which charges 18% simple interest per annum at the start of the year. He pays 11 equal monthly instalments of ₹40,000 and his bike at the end of the year to pay the amount. What is the value of the bike given?

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mp_police simple_interest intermediate

Simple Interest and compound interest (corresponding annually) on a principal at a certain rate of interest for 2 years are Rs. 12000 and Rs. 14400 respectively. What is the principal?

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mp_police simple_interest intermediate

On a certain principal, the compound interest, compounded annually, for the second year at 20% per annum is Rs.1,300. The principal is (consider the nearest integral value):

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mp_police compound_interest intermediate

A sum of money doubles itself at compound interest in 10 years. In how many years will it be four times at the same rate of Interest?

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mp_police compound_interest intermediate

If we want ₹8,640 three years from now and the compounded interest rate is 20% p.a how much should we invest today? (assuming interest is compounded yearly)

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mp_police intermediate

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.

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mp_police compound_interest intermediate

The difference between the compound interest and the simple interest on a sum of money at 10% for 2 years (compounded annually) is ₹50, The sum of money is:

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mp_police simple_interest intermediate

A sum becomes ₹6,600 in 4 years at simple interest at a yearly interest rate of 5% per annum. What is the sum?

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mp_police simple_interest intermediate

A sum of money at Simple Interest amounts to Rs.815 in 3 years and Rs.854 in 4 years. What is the sum?

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mp_police simple_interest intermediate

An amount becomes double in 7 years on simple interest. The amount would be four times in ______ years on the same rate of simple interest.

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mp_police simple_interest intermediate

The compound interest on ₹10,000 at 20% per annum is ₹4,641. If the compounding is done half-yearly, then for how many years was the sum invested?

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mp_police compound_interest intermediate

Rahna decided to buy a scooty that cost ₹40,000. The shopkeeper agreed to sell the scooty under the condition of ₹25,000 cash down payment of ₹4,000 each month for four months. Find the rate of interest at which the shopkeeper sold the scooty under the installment scheme.

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mp_police intermediate

The simple interest on a certain sum is 50% of the sum in 8 years at a certain rate per cent p.a. What will be the interest (in ₹) on a sum of ₹ 7,200 at the same rate in \(5 {2{} \over 3}\) years at simple interest?

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mp_police simple_interest intermediate

The simple interest received on a sum is 4/9 of the sum. The number of years is equal to the annual rate of interest. What is the annual rate of interest?

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mp_police simple_interest intermediate

Vinod had Rs.10,000 with him. He lent a part of it at 8% per annum simple interest and the remaining at 10% per annum.  His total interest earned was Rs. 880. Find the sum lent at 8%.

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mp_police simple_interest intermediate

The difference between the simple interest and compound interest on a certain sum of money for 2 years at 20% interest per annum is ₹964. What is the sum (in ₹)?

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mp_police simple_interest intermediate

If interest is being compounded half yearly, then what sum will amount to Rs. 51840 in 2 years at the rate of 40 percent per annum on compound interest?

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mp_police compound_interest intermediate

At a certain annual rate (rounded off to the nearest integer) of simple interest, a sum of money becomes nine times its original value in 21 years. By how much does the rate of interest change if the same sum of money has to become 12 times its original value in 25 years?

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mp_police simple_interest intermediate

A sum of Rs. 8000 becomes Rs. 21520 when invested in a scheme of simple interest. If the annual rate of interest and the number of years for which the sum was invested are the same, then what is the annual rate of interest?

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mp_police simple_interest intermediate

A sum of money becomes Rs 6,400 in 2 years and Rs 8,100 in 4 years on compound interest. Find the rate of compound interest.

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mp_police compound_interest intermediate

A sum of money at simple interest amounts to ₹1,200 in 3 years and to ₹1,350 in 4 years. The sum is:

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mp_police simple_interest intermediate

The simple interest on Rs.17,000 at a certain rate of interest in four years is Rs.5,440. Find the compound interest on the same amount for four years at the same rate of interest.

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mp_police simple_interest intermediate

Simple interest and compound interest on a principal at a certain rate of interest for 2 years is Rs. 12800 and Rs. 14400 respectively. What is the principle?

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mp_police simple_interest intermediate

A sum of money was lent on compound interest. It became ₹500 at the end of the first year and ₹550 at the end of the second year. Find the rate of compound interest per annum.

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mp_police compound_interest intermediate

The simple interest on a certain sum at the rate of 5% per annum for 3 years is Rs.1260. Find the compound interest for that sum at the same rate and for the same period.

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mp_police simple_interest intermediate

The compound interest, compounded annually, on Rs.30,000 at 9% per annum is Rs.5,643. The time period (in years) is:

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mp_police compound_interest intermediate

On what principle will the difference between Compound Interest and Simple Interest at a 10% rate in 3 years be equal to Rs.620?

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mp_police simple_interest intermediate

Rs.26000 is split into two sums such that the Simple Interest for 5 years at 10% on one part equals the Simple Interest for 6 years at 9% on the other part. What is the sum placed at 10% for 5 years?

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mp_police simple_interest intermediate

The difference between the simple interest and compound interest on ₹1,000 for 1 year at 20% per annum, compounded half-yearly, is:

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mp_police simple_interest intermediate

The simple interest on a certain sum of money at rate of interest 8% per annum for 2 years is Rs. 1120. What is the compound interest (compounding annually) on the same sum for the same period and at the same rate of interest?

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mp_police simple_interest intermediate

A certain sum of money becomes seven times itself when invested at a certain rate of simple interest, in 14 years. How much time (in years, rounded off to 2 decimal places) will it take to become 18 times itself at the same rate?

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mp_police simple_interest intermediate

A sum of Rs. 28,000 is invested by Vijay at 10% p.a. compound interest for the period of 4 years. How much money (in Rs.) will Vijay receive after 4 years?

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mp_police compound_interest intermediate

A certain sum of money is given at a certain rate of simple interest for 6 years. Had it been given at a 7% higher rate, it would have fetched ₹1,512 more. Find the sum (in ₹).

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mp_police simple_interest intermediate

A man borrows Rs.18,000 and undertakes to pay back with compound interest at a rate of 20% annually in two equal yearly instalments. The amount of each instalment is:

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mp_police compound_interest intermediate
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