Cluster · Simple and Compound Interest Calculations

d
Clusters / #1185
tight score 0.64

Simple and Compound Interest Problems
Questions
1,283
Questions in this cluster
1,281 total
Question Category Subtype Difficulty
Kanchan lent ₹10,000 for 2 years and ₹5,000 for 4 years at the same rate of simple interest. If the total interest received by Kanchan is ₹2,000, then what was the rate of interest?
pipeline-574727
quant simple_interest intermediate

A person borrowed some money on simple interest. After 4 years, he returned (9/5) of the money to the lender. What was the rate of interest?

pipeline-564140
quant simple_interest intermediate

R lends some money to S on which S pays ₹17,000 more to R. S lends the same money to T, on which T pays 8.5% more to S. What should be the minimum amount (in ₹) that S must borrow so that he does not incur any loss in the process?

pipeline-562376
quant intermediate

A sum amounts to ₹7,656 in 4 years and to ₹8,120 in 5 years at a certain simple interest rate percent per annum. The rate of interest is:

pipeline-577392
quant percentage intermediate

Varun invested Rs. 60000 on compound interest for 3 years at some rate of interest compounded annually. If the interest obtained by him is Rs. 43680 then what was the rate of interest?

pipeline-47518
english compound_interest intermediate

An unknown amount is to be divided in such a way that it gains the same interest after a certain period of time, the interest is on a half-yearly basis and the rate of interest is in the ratio 6 : 21. In what ratio the amount should be divided?

pipeline-48463
english intermediate

An online shopping portal, introduces two schemes for their customers, during a sale, on a washing machine whose price is Rs. 15000. In scheme 1 they sell the washing machine at 20% discount and in scheme 2 they sell it at a down payment of Rs. 5000 and three installments of Rs. 3000 payable at intervals of a year. Assuming that the shopping company invests its money at compound interest of 10% compounded annually, which offer is more profitable for them and by how much, at the end of three years?

pipeline-41257
english compound_interest intermediate

A sum of Rs. 35000 is invested on simple interest calculated quarterly at the rate of 14% per annum and the same sum is invested on compound interest at the rate of 10% per annum compounded annually. Find the difference of interest earned after 3 years.

pipeline-46130
english simple_interest intermediate

The sum of rs 240 becomes 8 times in 3 years when interest is compounded annually then find the rate percentage and the simple interest when this amount is given for 5 years at the same rate.

pipeline-49362
english simple_interest intermediate

Quantity A :  Sumit invested rupees X at a rate of 15 % per annum on compound interest for 2 years and gets Rs. 5805 as interest. If he invested Rs. (X + 7000) at 20% per annum on another scheme, find compound interest obtained after two years.

Quantity B : Sumit invested Rs. 16000 at simple interest for 2 years at R% per annum and got Rs. 4000 as interest. If he invested total amount in another scheme at (R - 5)%, find compound interest obtained by Sumit after 2 years.

pipeline-17622
english simple_interest intermediate

A man starts investing in two banks with the same capital of 3000 rupees. Bank A gave simple interest on his investment and Bank B gave compound interest on his investment at a rate of 10% each.

Quantity l: Interest by Bank A on an investment of 3 years. 

Quantity ll: Interest by Bank B on an investment of 2 years. 

pipeline-75809
english simple_interest intermediate

The sum of Rs.768 is invested in compound interest at the rate of 12.5% for two years. After two years the interest that was earned by compound interest is again invested into simple interest for the next two years at the rate of 5% percentage. Find the total interest at the end of 4 years.

pipeline-75850
english percentage intermediate

Ranjeet invested some money at simple interest of 23% for a certain duration. After the time duration, the final amount Ranjeet received was twice the amount he invested. For what duration of time did Ranjeet invest his money?

pipeline-38812
english simple_interest intermediate

Two sums of Rs. 7500 and Rs. 8000 invested for 2 years at a different rate percent of 5% and 10%. Find the difference in Compound Interest of both the investment.

pipeline-52786
english percentage intermediate

A sum of money becomes 4 times in 1.5 years. find the approximate rate of interest per annum compounded semi-annually.

pipeline-36601
english intermediate

The difference between the Simple interest and Compound Interest for 2 years is Rs. 16.9 at the rate of 2.5%.

(I) Principal = Rs. 27054

(II) If half of the principal is lent to Amit at the rate of 0.5% for 2 years then, the earned interest will be Rs. 132.5

(III) If 50% of the principal is lent to Sumit at the rate of 5% for 2 years then, the earned Compound interest will be Rs. 1385.8.

pipeline-466965
english simple_interest intermediate

If the rate of interest is 20% p.a. then find the compound interest earned on Rs. 2000 in 1 ½ years. If interest is charged half yearly

pipeline-232178
english compound_interest intermediate

The rate at which a sum becomes four times of itself in 20 years at S.I. Now, if a amount of Rs 2270 is invested at this rate. What will be the S.I for the last quarter of second year?

pipeline-49662
english intermediate

John invested Rs. 'X' at simple interest for 2 years at the rate of 17.5% per annum and Rs. (X + 5000) at compound interest for the same period at the rate of 12% per annum. If he received Rs. 640 more on the simple interest scheme, find the amount invested by him at compound interest.

pipeline-45911
english simple_interest intermediate

Shyam earns Rs 1397 by investing Rs 7950 in two schemes offering 10% and 8% compound interest annually for 2 years. Find the amount invested in the scheme offering 8% interest.

pipeline-333259
english compound_interest intermediate

Anmol is a share market investor. He invests Rs. 64000 in shares of Preliance Industries. In the first month, there was a net increase of 20% in the share price of Preliance industries however in the following month, the prices went down by 10%, the prices fluctuated again and in the 3rd month, the prices went up by 15%. If the amount which Anmol had invested was actually borrowed by him from Prince on a rate of 12.5% at monthly compound interest, find his overall profit/loss in three months. (in Rs.)

pipeline-327005
english compound_interest intermediate

Rohan invested equal amount of money in both Compound and Simple interest at the rate of 11%. After 2 years, the difference in interest amount was Rs. 605. What will be the interest on money put on compound interest after 3 years?

pipeline-52741
english simple_interest intermediate

Anuj invested Rs.120000 on compound interest at the rate of 20% per annum compounded quarterly. Find the interest obtained by him in a year.

pipeline-45606
english compound_interest intermediate

Anurag invested a sum of money on simple interest for 3.5 years at the rate of 18% per annum and the interest is calculated quarterly. If he received Rs. 118175 at the end of investment period then find the sum invested by Anurag.

pipeline-45879
english simple_interest intermediate

Some amount is invested on simple interest for 2 years at the rate of 12% per annum. The same amount is invested on simple interest calculated half-yearly for 1.5 years at the rate of 12% per annum. If the total interest earned is Rs. 7770, what is the total amount invested?

pipeline-46753
english simple_interest intermediate

A sum of Rs. 80000 invested at a rate of 7% for 3 years on compound interest. Find the difference between the compound interest of the 3rd year and the 2nd year.

pipeline-53153
english compound_interest intermediate

Shyam invested Rs. 12,000 on S.I. for 18 months at the rate of 5% quarterly. The amount that he generated as interest was again invested for 3 years at the same rate compounded annually. What is the total interest amount earned by him?

pipeline-45819
english intermediate

Chris invested Rs. 60,000 at the rate of 5% per annum for 2 years on simple interest. He invested the obtained interest for 3 years compounded annually at the same rate. Find the total interest obtained in 5 years (in Rs.). (approx.)

pipeline-39522
english simple_interest intermediate

A sum of money is invested on simple interest applied semi-annually for 2 years at the rate of 14% per annum and the amount received after 2 years is invested on compound interest for 2 years at the rate of 10% per annum. If the compound interest received at the end is Rs. 3225.6 then find the sum invested initially.

pipeline-41618
english simple_interest intermediate

Rohit invested a sum of Rs 60000 on compound interest for 2 years at 10%. At the end of 2 years, the interest earned was again invested in compound interest for 2 years at 15%. What is the interest earned on interest by Rohit?

pipeline-41998
english compound_interest intermediate

If the sum of money becomes Rs 6000 in 2 years and becomes Rs 7200 in 3 years on compound interest, then find the rate of interest.

pipeline-57421
english compound_interest intermediate

At what rate will a sum of Rs. 1000 amounts to Rs. 1102.50 in 2 years at compound interest?

pipeline-182935
english compound_interest intermediate

A sum of 7500 rupees invested in compound interest and simple interest at the rate of  4% for 2 years. Find the difference between compound interest and simple interest.

pipeline-49884
english simple_interest intermediate

A sum of 2160 rupees becomes 3430 rupees in 3 years if interest compounded annually. Find the value of rate of interest.

pipeline-49459
english intermediate

Atul invested Rs. 40000 on compound interest at the rate of 12% per annum for 3 years. Find the compound interest earned by him.

pipeline-46107
english compound_interest intermediate

The price of the washing machine is Rs 14000. Ram purchase this washing machine by paying a down payment of Rs 2000 and the remaining balance paid in 3 equal installments. If the dealer charges compounded interest at the rate of 12\(\frac{1}{2}\)%. Then find the value of each installment.

pipeline-334709
english intermediate

A sum of Rs. 44000 is lent on simple interest at the rate of 16% per annum. The interest is calculated quarterly. If the interest received is Rs.12320, then find the time for which the sum was invested.

pipeline-45018
english simple_interest intermediate

A lady mortgaged her gold earrings and took Rs 255000 on simple interest at the rate of 8%. If she lends this money on compound interest at the same rate then, find her earnings after three years.

pipeline-93045
english simple_interest intermediate

An amount of Rs. 24700 is invested in compound interest as well as in simple interest at the rate of 13%. After 2 years what will be the difference between compound interest and simple interest?

pipeline-53444
english simple_interest intermediate

Ram, Laxman, and Bharat are three brothers who lent money to their friends in the ratio 7 : 4 : 5 for one, two, and three years respectively. The total lent money is Rs.40000.

I. If Ram lent money at simple interest at the rate of 12.5% per annum then, the interest earned by him is Rs.2178.5.

II. If Laxman lent money at compound interest at the rate of 5% per annum then, the interest earned by him is Rs.1025.

III. If Bharat lent only 1/25 of his amount on simple interest at the rate of 12.5 then, the earned interest is Rs.62.5.

pipeline-480722
english simple_interest intermediate

A sum of Rs. 255000 is invested in simple interest at the rate of 5 percent. Find the amount after 5 years.

pipeline-56454
english simple_interest intermediate

Mayank invested a sum of Rs. 35000 on compound interest rate of 8% for 5 years. What would be the interest earned by Mayank between end of 2nd year to end of 3rd year?

pipeline-48798
english compound_interest intermediate

The sum of Rs 95400 invested in simple interest at the rate of 5% for 16 months. Now simple interest is invested in the compound interest for two years at the same rate. What is the final amount?

pipeline-54339
english simple_interest intermediate

The difference between compound interest and simple interest on a certain sum of money for 2 years at 10% per annum is Rs 420. Find the simple interest at the same rate and for the same time.

pipeline-61454
english simple_interest intermediate

2 friends borrow a sum of Rs. 50000 each on the compound interest of 10% per annum for 3 years and 4 years respectively. What is the difference in interest paid by 2 friends?

pipeline-36195
english compound_interest intermediate

Mohan borrowed Rs. 12000 from bank at ‘x’% annual rate of compound interest and lent the same amount to Sobhit at ‘x + 7’% rate of simple interest. At the end of 2 years total profit amount gained by Mohan is Rs. 930, then what is the value of ‘x’?

pipeline-39801
english simple_interest intermediate

An amount of Rs. 5275 is invested for a time period at a rate of 4% which amounts to Rs. 6330. If a sum of Rs. 5670 is invested for the same time at an interest rate of 7.23% then find the simple interest at the end.

pipeline-49478
english simple_interest intermediate

A sum of money amounts to Rs. 2420 and Rs. 2928.2 respectively after adding compound interest for the 2nd and 4th year. Find the amount after completion of 1st year.

pipeline-36587
english compound_interest intermediate

A sum of money when invested for 8 years on simple interest doubles itself. 1/3rd of the amount collected after 8 years is invested again on simple interest at double rate for 3 years. If the amount collected after 3 years is Rs. 21000 then, find the sum invested initially.

pipeline-40455
english simple_interest intermediate

A sum of Rs. 5000 gives the amount of Rs. 7250 when invested in a scheme at the rate of x% p.a. simple interest for a period of three years. What will be the amount received when Rs. 8000 is invested at the rate of x% p.a. for a period of one year when compounded half yearly?

 

pipeline-417061
english simple_interest intermediate
Page 3 of 26