10. COMPOUND INTEREST - 1st part

1. (i) Amit Kumar invested an amount of Rs. 15000 at compound interest rate of 10% per annum for a period of 2 years. What amount will he receive at the end of two years? 

 (a) Rs. 8000  (b) Rs.18500 (c) Rs.17000 (d) Rs.18150 (e) none

(ii) What is the amount at compound interest for 2 years at 2% pan?                                                

(a) 1.404 times the principal (b) 1.1404 times the principal  (c) 1.0404 times the principal (d) 2.0404 times the principal      

(iii) Find the compound interest on Rs. 50000 at 16% per annum for 2 years, compounded annually.

(a) Rs.15208(b) Rs.20500 (c) Rs.17280(d) Rs.18800  (e) none

(iv) Rs. 7500 is borrowed at CI at the rate of 4% per annum. What will be the amount to be paid after 2 years?                     

(a) Rs. 8112 (b) Rs. 8212   (c) Rs. 8221 (d) Rs. 9112   (e) none

(v) Find the amount at compound interest of Rs. 625 in 2 years at 4%.   [Ans. (d)  Rs. 676]

(a) Rs. 776 (b) Rs. 667  (c) Rs. 756 (d) Rs. 676  (e) none

2. (i) Rs. 7500 is borrowed at CI at the rate of 4% per annum. What will be the amount to be paid after 1 year, if interest is compounded half-yearly?     [Ans. (d)  Rs. 7803]

(a) Rs. 7081 (b) Rs. 7601  (c) Rs. 8001   d) Rs. 7803  (e) none

(ii) Find the amount at compound interest of Rs. 350 for 1 year at 4% per annum, the interest being payable half- yearly.                                                                                                                       

(a) Rs.364.14 (b)Rs.364.41(c)Rs.464.14 (d)Rs.346.14 (e) none

3. (i) Find the compound interest on Rs. 8000 in 3 months at 5% interest payable quarterly.                  [Ans. (d) Rs. 100]

(a) Rs. 90   (b) Rs. 150  (c) Rs. 200   (d) Rs. 100    (e) none

(ii) Find the compound interest on Rs. 6250 in 1 year at 12% per annum interest payable half yearly. [Ans. (e) none of these (Rs. 772.50)]

(a) Rs.772.50(b) Rs.882.50 (c)Rs.750.50(d) Rs.850.50(e) none

(iii) Rs. 7500 is borrowed at CI at the rate of 4% per annum. What will be the amount to be paid after 6 months, if interest is compounded quarterly?              [Ans. (a) Rs. 7650.75]

(a) Rs. 7650.75(b) Rs. 7601 (c) Rs. 7601(d) Rs. 7801 (e) none

                                                                                                                  

4. (i) An amount of money grows up to Rs. 10648 in 3 years and up to Rs. 9680 in 2 years on compound interest. Find the rate of interest                    [LIC, 1986]     [Ans. (b) 10%]

(a) 5%       (b) 10%     (c) 15%    (d) 20%     (e) none of these

(ii) An amount of money grows up to Rs. 2400 in 3 years and up to Rs. 2520 in 4 years on compound interest. Find the rate of interest          

(a) 5%        (b) 6%         (c) 10%     (d) 12%  (e) none of these

(iii) An amount of money grows up to Rs. 4950 in 19 years and up to Rs. 5049 in 20 years on compound interest. Find the rate percent per annum.                                  

(a) 1%     (b) 3%     (c) 1.5%    (d) 2%        (e) none of these

          

5. (i) What sum of money at compound interest will amount to Rs. 650 at the end of the first year and  Rs. 676 at the end of the second year?       

(a) Rs. 625    (b) Rs. 675       (c) Rs. 525  (d) Rs. 650   (e) none

(ii) An amount of money grows up to Rs. 4840 in 2 years and up to Rs. 5324 in 3 years on compound interest. Find the sum.                                                                                                                         

(a) Rs. 4000  (b) Rs. 3000  (c) Rs. 4500  (d) Rs. 5000  (e) none

(iii) An amount of money grows up to Rs. 2916 in 2 years and up to Rs. 3149.28 in 3 years on compound interest. Find the sum.              [Ans. (c)  Rs. 2500]

(a) Rs. 1500   (b) Rs. 2000 (c) Rs. 2500  (d) Rs. 3000  (e) none

(iv) An amount of money grows up to Rs. 4500 in 2 years and up to Rs. 6750 in 4 years on compound interest. Find the sum.                                [Ans. (c). 3000]

(a) Rs. 4000  (b) Rs. 2500  (c) Rs. 3000  (d) Rs. 3050  (e) none

6. (i) What is the principal amount which earns Rs. 132 as compound interest for the second year at 10% per annum ?                                       [Ans. (b) Rs. 1200]

(a) Rs. 1000(b) Rs. 1200   (c) Rs. 1320   (d) Rs. 1100  (e) none

7. (i) Find the ratio of CI to SI on a certain sum at 4%   per annum for 2 years.  [Ans. (d) 51: 50]

(a) 53 : 51    (b)  51 : 49   (c) 50 : 51   (d) 51 : 50   (e) none

(ii) Find the ratio of CI to SI on a certain sum at 5% per annum for 2 years.       [Ans. (d) 41: 40]

(a) 47 : 43   (b)  51 : 50    (c) 41 : 39    (d) 41 : 40      (e) none

8. (i) At what rate % per annum will Rs. 80000 amount to Rs. 88200 in 2 years ? The interest is compounded yearly.                                                                                                                                  

(a) 8%    (b) 5%     (c) 6%    (d) 10%        (e) none of these

(ii) At what rate % compound interest will Rs. 400 amount to Rs. 441 in 2 years? [Ans. (b)  5%]

 (a) 8%    (b) 5%      (c) 6%       (d) 10%       (e) none of these

(iii) At what rate % compound interest will Rs. 625 amount to Rs. 676 in 2 years? [Ans. (d) 4%]

(a) 8%      (b) 5%        (c) 6%        (d) 4%    (e) none of these

(iv). Seema invested an amount of Rs. 16000 for 2 years the compound interest and received an amount of Rs. 17640 on maturity. What is the rate of interest ?           

(a)  8%        (b)  5%     (c)  4%    (d)  5.5%     (e) none of these 

9. (i) At what rate % per annum will Rs. 1000 amount to Rs. 1331 in 3 years ? The interest is compounded yearly.                                                                                                                         

(a) 12%   (b) 8%        (c) 15%      (d) 10    (e) none of these

   

(ii) At what rate % per annum will Rs. 3000 amount to Rs. 3993 in 3 years? The interest is compounded yearly.   [Ans. (d)]

(a) 11%    (b) 9%     (c) 13%      (d) 10%      (e) none of these

(iii) The rate percent, if the compound interest on Rs. 15625 for 3 years is Rs. 1951 is  [Ans. (c) 4%]

(a) 8%  (b) 5%   (c) 4%       (d) 6%             (e) none of these 

 

(iv) At what rate % will the compound interest on  Rs 2500 amount to Rs 477.54 in 3 years? 

[Ans. (c)6%]

(a) 8%       (b) 5%     (c) 6%     (d) 10%       (e) none of these 

10. (i) At what rate percent compound interest does a sum of money become 9 fold in 2 years?                  [Ans. (d) 200%]

(a) 150%     (b) 225%     (c) 300    (d) 200%   (e) none of these 

(ii) At what rate percent compound interest does a sum of money become 2.25 times itself in 2 years?  

(a) 25%     (b) 30%      (c) 45%   (d) 50%     (e) none of these 

(iii) At what rate percent compound interest does a sum of money become 9/4 times itself in 2 years?     [Ans. (b) 50%]

(a) 25%     (b) 50%    (c) 60%    (d) 100%    (e) none of these 

(iv) At what rate percent compound interest does a sum of money become 4 fold in 2 years? 

 [Ans. (b)  100%]

(a) 150%  (b) 100% (c) 50 (d) 200%  (e) none of these 

(v) At what rate percent compound interest does a sum of money becomes 27 times in 3 years?                [Ans. (d) 200%]

(a) 150% (b) 225%     (c) 300%  (d) 200%     (e) none of these 

11. (i) Rs. 800 at 5% per annum compound interest amount to Rs. 882 in:  [Ans.(a)2 yrs]

(a) 2 years   (b) 3 years     (c) 4 years   (d) 1 year     (e) none

(ii) In how many years will Rs. 2000 become Rs. 2420 at the compound interest rate of 10% per annum ?     [Ans. (c) 2]

(a) 3 years     (b) 2 ½  year  (c) 2 years   (d) 1 ½ year   (e) none

(iii) The time in which Rs. 1200 will amount to Rs. 1323 at 5 p.c. compound interest is.---            [Ans. (c) 2 years]

(a) 3 years  (b) 2 ½  years   (c) 2 years   (d) 1 ½ year   (e) none

12.(i) In what time will Rs. 1000  amount to Rs. 1331at the rate of 10% pa, the interest is compounded annually? [Ans. (a)3 years]

(a) 3 years  (b) 2.5 years   (c) 2 years   (d) 3.5 years   (e) none

(ii) In what time will Rs. 1000  amount to Rs. 1331at the rate of 20% pa, the interest   is compounded half yearly ?                 [Ans.(a)1 ½ years]

(a) 1 ½ years (b) 2 years   (c) 1 years   (d) 2 ½ years  (e) none

13. (i) A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?                 

(a) 12 years   (b) 18 years  (c) 16 years (d) 24 years   (e) none

(ii) A sum of money placed at compound interest doubles itself in 10 years. In how many years will it amount to 4 times itself  ?            

(a) 15 years   (b) 20 years (c) 24 years (d) 40 years     (e) none

(iii) A sum of money placed at compound interest doubles itself in 6 years. In how many years will it amount to 8 times itself ?       

(a) 15 years   (b) 12 years   (c) 18 years  (d) 10 years  (e) none

(iv) A sum of money placed at compound interest doubles  itself in 15 years. In how many years will it amount to 8 times itself ?          

(a) 30 years    (b) 45 years  (c) 50 years (d) 60 years  (e) none

(v) If a sum of money placed at compound interest amounts to thrice itself in  3 years, then  in how many years will it amount to 9 times itself ?  [Ans. (b)  6 years]

(a) 10 years  (b) 6 years (c) 4 years   (d) 8 years   (e) none

(vi) A sum of money placed at compound interest doubles itself in 5 years. In how many years will it amount to eight times itself ?     [Ans. (c)  15 years]

(a) 12 years (b) 10 years (c) 15 years  (d) 20 year  (e) none

(vii) A sum of money placed at compound interest thrice itself in 4 years. In how many years will it amount to 27 times itself?          [Ans. (a)  12 years]   

(a) 12 years    (b) 10 years   (c) 15 years  (d) 20 year  (e) none

14. (i) The simple interest on a certain sum of money for 2 years at 10% per annum is Rs. 400. Find the compound interest at the same rate and for the same time.  [Ans. (b)  Rs. 420]

(a) Rs. 450   (b) Rs. 420   (c) Rs. 360   (d) Rs. 400   (e) none

(ii) The simple interest on a certain sum of money for 2 years at 20% per annum is Rs. 200. Find the compound interest at the same rate and for the same time.       [Ans. (b)  Rs. 220]

(a) Rs. 250  (b) Rs. 220  (c) Rs. 260   (d) Rs. 150       (e) none

(iii) SI on a sum at 4% per annum for 2 years is Rs. 80. The CI on the same sum and for the same period is : [Ans. (c)  Rs. 81.60]

(a) Rs.80.06 (b) Rs 80.56 (c) Rs.81.60 (d) Rs. 80.00  (e) none

15. (i) If the CI on a certain sum for 2 years at 3% be Rs. 101.50, what would be the SI ?                  [Ans. (d)  Rs. 100]

(a) Rs. 90   (b) Rs. 150   (c) Rs. 200   (d) Rs. 100   (e) none

(ii) The compound interest on a certain sum of money for 2 years at 4% per annum is Rs. 102. The simple interest on the same sum at the same rate and same times will be : [Ans. (c)  Rs. 100]

(a) Rs 99 (b) Rs 101 (c) Rs 100(d) Rs 98 (e) none                                                      

(iii) If the CI on a certain sum for 2 years at 5% be Rs. 410, what would be the SI ?                       [Ans. (d)  Rs. 400]

(a) Rs. 300    (b) Rs. 500    (c) Rs. 200 (d) Rs. 400     (e) none

(iv) The compound interest on a certain sum of money for 2 years at 10% per annum is Rs. 420. The S.I. on the same sum at the same rate and same times will be:  [Ans.(d)Rs.400]

(a) Rs. 300     (b) Rs. 500     (c) Rs. 200   (d) Rs. 40     (e) none