Simple and Compound Interest Questions with Solution (Basic)

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Q1. The difference in simple interest and compound interest on a certain  sum of money in 2 years at 10 % p.a. is Rs. 50. The sum is

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Q2. The difference in simple interest and compound interest on a certain  sum of money in 2 years at 18 % p.a. is Rs. 162. The sum is

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Q3. The compound interest on a certain sum of money for 2 years is Rs. 208 and the simple interest for the same time at the same rate is Rs. 200. Find the rate %.

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Q4. The difference between compound interest and simple interest on a certain sum for 2 years at 10 % is Rs. 25. The sum is

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Q5. The simple interest on a certain sum for 3 years in Rs. 225 and the compound interest on the same sum for 2 years is Rs. 165. Find the rate percent per annum.

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Q6. The simple interest on a sum of money for 2 years is Rs. 150 and the compound interest on the same sum at same rate for 2 years is Rs. 155. The rate % p.a. is

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Q7. Mihir’s capital is 5/4 times more than Tulsi’s capital. Tulsi invested her capital at 50 % per annum for 3 years (compounded annually). At what rate % p.a. simple interest should Mihir invest his capital so that after 3  years, they both have the same amount of capital?

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Q8. The difference in simple interest and compound interest on a certain sum of money in 3 years at 10 % p.a. is Rs. 372. The sum is

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Q9. Sahil’s capital is 1/6 times more than Chaya’s capital. Chaya invested her capital at 20 % per annum for 2 years (compounded annually). At what rate % p.a. simple interest should Sahil invest his capital so that after 2 years, they both have the same amount of capital?

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Q10.The difference in simple interest and compound interest on a certain sum of money in 3 years at 20 % p.a. is Rs. 640. The sum is

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Q11. The compound interest on rs.30000 at 7% per annum is Rs.4347. The  period is

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Q12. A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after  6 years on compound interest. Find the sum.

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Q13. What is the rate of interest p.c.p.a.?

I. An amount doubles itself in 5 years on simple interest.

II. Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.

III. Simple interest earned per annum is Rs. 2000

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Q14. Find compound interest on Rs. 8000 at 15% per annum for 2 years 4  months, compounded annually

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Q15. A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually. The sum is

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Q16. Find the compound interest on Rs. 10,000 in 2 years at 4% per annum,  the interest being compounded half-yearly.

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Q17. Find the compound interest on Rs. 16,000 at 20% per annum for 9  months, compounded quarterly

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Q18. Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

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Q19. The annual rate of growth in population of a town is 10%. If its present population is 26620, then the population 3 years ago was _________

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Q20. The cost of a machine depreciated by Rs. 4,000 during the first year and by Rs. 3,600 during the second year. What is the depreciation rate 

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