Unit-3 (Compound Interest)-X

Compound Interest

(Exercise with Answers)

     1.    What will be the compound amount and compound interest if Rs 20,000 is deposited  

          with 5% p.a for 3 years? Find it. (Rs. 23152.5, Rs. 3152.5)

2.    How much amount will Enkita have with return to bank if she takes lone of Rs 50,000 with 10% p.a compounded annually for 3 years? Find it. (Rs. 66550, Rs. 16550)

3.    Rashu has deposited Rs 1,50,000 in a bank. If the bank provides 6% p.a interest, find the compound amount and compound interest of Rashu after 2 years. (Rs.173522.55, Rs.23522.55)

4.    A Co-operative in Armala has invested Rs 4,00,000 for an Agriculture farm. If it compounds the interest annually and the rate of compound interest is 12.5% per year, what amount will it get after 2 years? Find it. (Rs. 506250, Rs. 106250)

5.    What will be the difference in simple interest and compound interest of Nisha if she deposits Rs 45,000 in a bank for 3years with 11% p.a interest? Find it. (Rs. 1693.40)

6.    Kaji detains a loan of Rs. 80,000. If the rate of interest is 12.5% per annum, find the difference between the compound interest and simple interest after 3 years.

(Rs 3906.25)

7.    What sum of money will be different between compound interest and simple interest for 3 years if a bank provides 6% p.a interest of Rs 5,00,000? Find it. (Rs. 5508)

8.    Ranju takes a loan of Rs 24,000 from a person with simple interest of 12.5% than she deposits that amount in a cooperative with same rate of compound interest. How much profit will she get after 3 years? Find it. (Rs. 1171.88)

9.    Find the compound interest on Rs 4,000 for 2 years at the rate of 10% per annum compounded half yearly. (Rs. 862.02)

10. What will be the compound amount and compound interest of Rs. 50,000 with rate of 8% p.a after 2 years if the interest is compounded half yearly? Find it. (Rs. 54080, Rs. 4080)

11. What will be the difference between annual compound interest and half yearly compound interest of amount Rs. 2,50,000 with rate of 12% p.a after 3 years?

 (Rs. 3397.78)

12. Pukar has taken a loan of Rs, 50, 000 with 10% per annum commanded half yearly. Rosani takes same amount with 12% per annum compoundable yearly. Find who has to pay more interest after 3 years? (Rosani, Rs. 3241.62)

13. On what sum will the compound interest at 5 % p.a for 2 years compounded annually be Rs 164? Find it. (Rs 1600)

14. Nanu borrowed a certain sum at the rate of 10 % p.a. If she paid compound interest Rs. 1,290 at the end of two years compounded annually, find the sum of money borrowed by her. (Rs 1066.11)

15. What sum interested at the rate of 5 % per annum for 2 years will earn as the compound interest if the interest is payable yearly? Find it. (Rs. 80,400)

16. Bipana lends sum of money to Yamuna at the rate of 8% per annum compound interest. If Bipana takes Rs 8,748 from Yamuna at the end of 2 years, what sum of money has Bipana lent to Yamuna? Find it. (Rs. 7500)

17. The annual compound interest of a sum with 10 % p.a is less than Rs 40 than the half yearly compound interest of same amount with same rate in one year. What will be the sum? Find it. (Rs. 16,000)

18. Brinda borrowed a sum of money from Dipak. If she paid compound interest Rs. 18,205 at the end of 3 years with the rate of 10% p.a., find the principal. (Rs. 55,000)

19. The compound amount of a sum in 2 years is Rs. 14,520 and in 3 years is Rs. 15,972. Find the principal and the rate of interest. (Rs. 21,000, Rs. 20,000)

20. What will be the sum and rate of interest if the compound amount of that sum in

2 yrs and 3 yrs are Rs. 10,580 and Rs 12,167 respectively? Find it. (15%, Rs. 8000)

21. A sum of money invested at the compound interest payable yearly has interest in 2 years and 4 years are Rs. 4,200 and Rs. 9282 respectively. Find the rate of interest. (Rs. 20,000)

22. Find compound interest of Rs. 70,000 with rate of 10% p.a for 3 years if it is i) compounded annually ii) compounded half yearly (Rs. 23170, Rs. 23806.70)

23. Divide Rs.41,000 into two parts such that their amounts at 50% p.a compound interest compounded annually in 2 years and 3 years are equal. (Rs. 21,000,

Rs. 20,000)

24. In what time Rs. 1,00,000 amount will be Rs. 1,21,000 at the rate of 10% p.a. compounded annually? Find it. (2yrs)

25. In what time Rs. 25, 60,000 yields Rs. 8,58,801 compound interest at the rate of

15 % p.a compounded half yearly? Find it. (2yrs)