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Interest Rate Calculations Guide

This document provides 33 problems related to calculating compound interest and simple interest given various amounts, time periods, and interest rates. The problems cover calculating principal amounts, interest earned, interest rates, and time periods required for money to grow at given rates. They require setting up and solving equations using the compound interest and simple interest formulas.

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Sanathoi Maibam
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0% found this document useful (0 votes)
146 views2 pages

Interest Rate Calculations Guide

This document provides 33 problems related to calculating compound interest and simple interest given various amounts, time periods, and interest rates. The problems cover calculating principal amounts, interest earned, interest rates, and time periods required for money to grow at given rates. They require setting up and solving equations using the compound interest and simple interest formulas.

Uploaded by

Sanathoi Maibam
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Compound Interest and Simple Interest

1. If the certain sum of money (Rs.225) amounts to Rs.256 in two years, find the Rate of
compound interest?
2. If the certain sum of money (Rs.102400) amounts to Rs.145800 in 3 years, find the Rate of
compound interest?
3. If a certain sum of money becomes 8 times of itself in 3 years, find the rate of CI?
4. At what rate percent per annum will Rs.2304 amounts to Rs.2500 in two years if compounded
annually?
5. At what rate percent per annum will Rs.32000 yield a CI of Rs.5044 in 9 months if compounded
quarterly?
6. If a certain sum of money becomes equal to 3 times of itself in 8 years. In how many years it
will be 243 times of itself?
7. If a certain sum of money becomes equal to double of itself in 3 years. In how many years it
will be 64 times of itself?
8. If a certain sum of money amounts to Rs.4500 in 5 years and Rs.6750 in 10 years. Find the
principal?
9. If a certain sum of money amounts to Rs.650 in 2 years and Rs.676 in 4 years. Find the
principal?
10. If a certain sum of money amounts to Rs.8000 in 2 years and Rs.27000 in 5 years. Find the
principal?
11. The SI and CI on a certain sum of money is Rs.400 and Rs.410 resp. Find the principal and rate
of interest?
12. If the difference between CI and SI on a certain sum of money of Rs.5000 for 2 years is Rs.72.
find the rate of interest?
13. If the difference between CI and SI on a certain sum of money of Rs.30720 for 3 years is
Rs.1500. find the rate of interest?
14. Ratio of 3 years of CI and SI of 1 year on a certain sum of money is 3.64:1. Find the rate
percent?
a. 10% b. 20% c. 15% d. 5%
15. The ratio of difference between CI and SI for 3 years to the difference CI and SI for 2 years is
19:6. Find the rate of interest?
16. A man want to invest Rs.16850 in bank account of his two sons whose age are 12 years and
1
16 years in such a way that, they will get equal amount at an age of 120 years at the rate of 33 3%
per annum. Find the share of younger son?
17. A man borrowed a sum of Rs.3000 from bank at 30% per annum. He pays back Rs.1000 at the
end of each year. Calculate how much amount he will pay at the end of 3rd year to clear all his
dues?
18. A man purchase a motorbike for a certain price and promise to pay the price in 3 equal annual
instalments of Rs.10,800 at the rate of 20% per annum. Find the cost price of motor bike?
19. A man borrowed a sum of Rs.25220 from a bank and promise to pay the amount in 3 annual
equal instalment at the rate of 5% per annum. Find the value of each instalment?
20. If the SI on a certain sum of money for 3 years at the rate of 12.5% is Rs.3500 less than its
principal. Find the sum and SI?
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21. If the SI on a certain sum of money for 4 years at the rate of 6 3% is Rs.4400 less than its
principal. Find the sum and SI?
22. The rate of SI for 1st three year is 6%, for next four years is 7% and period beyond seven years
is 7.5% per annum. If a man invest Rs.18800 for 11 years, find the SI earned by him?
23. A Bicycle can be purchased on cash payment of Rs.1500 but the same cycle can also be
purchased on the cash down payment of Rs.350 and rest can be paid in three equal annual
instalment of Rs.400 for next three years. Find the rate of interest?
24. The cash price of a pen is Rs.60 but it can also be purchased on a cash down payment of Rs.20
and 6 monthly equal instalment at rate of Rs.8 per month. Find the rate percent.
25. A man lent out two equal sums in two parts at rate 8% and 7% per annum on SI. If the former
is recovered in 6 months earlier than the later and received equal amount of RS.2560 each from
both the parts. Find the principal?
26. Somendro borrow a sum of Rs.6300 from Biren at the rate of 14% per annum for 3 years. He
added some more money in it and lent it to Ibobi at 16% per annum for 3 years. In this process he
earn a total profit for Rs.618. Find how much amount does he added?
27. If a certain sum of money becomes 8 times of itself in 3 years. In how much time it will be 64
times of itself?
28. If a certain sum of money becomes double of itself in 6 years. In how much time it will be
10times of itself?
29. A certain sum at certain rate percent per annum, SI becomes RS.2100 in 2 years and RS.2250 in
5 years. Find the principal and rate percent?
30. If a certain sum of money invested for certain time, it amounts to Rs.350 at 5% per annum and
Rs.250 at 3% per annum. Find the time and principal?
31. If a certain sum money amounts to RS.10,000 in 5 years and RS.10,800 in 7 years at a certain
rate of interest. Find the rate percent?
32. A person invest money in 3 different schemes for 6 years, 10 years and 12 years at 10%, 12%
and 15% rate resp. At the completion of each scheme he gets the same interest. Find the ratio of
investment?
33. A man borrowed some amount, after 3 years he paid Rs.10,400/- with 10% interest, then how
much Amount he borrowed?

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