COMPOUND INTEREST (IX) MIXED

EXERCISE - A

1) The Simple interest on a certain sum of money for 3 years at 5% p.a is Rs1200. Find the amount due and the compound interest on this sum of money at the same rate after 3 years, intrest is reckoned annually.      Rs9261 

2) A sum of Rs9600 is invested for 3 years at 10% p.a for compound interest:
a) What is the sum due at the end of the first year ?  Rs 10560
b) What is the sum due at the end of the second year ?    11616
c) Find the compound interest earned in 2 years.    Rs2016
d) Find the difference between the answer in (b) and  (a) and find the interest on this sum for 1 year.       Rs105.60
e) Hence , write down the compound interest for the third year .    Rs1161.60

3) The compound interest on a certain sum of money at 5% per annum for 2 years is Rs246. Calculate the simple interest on the sum for 3 years at 6% p.a.    Rs432

4) What sum of money will amount to Rs3630 in two years at 10%p.a. compound interest ?   Rs3600

5) On a certain sum of money, the difference between the compound interest for a year, payable half-yearly, and the simple interest for a yeris Rs180. Find the sum lent out, if the rate of interest in both the cases is 10% p.a.     Rs72000

6) A man borrows Rs5000 at 12% compound interest p.a., intrest payable every 6 months . He pays back Rs1800 at the end of every 6 months . Calculate the third payment he had 18 months in order to clear the entire loan .     Rs2024.60

7) Calculate the component for the second year on Rs8000 invested for 3 years at 10% p.a.     Rs880

8) A man invests Rs5000 for 3 years at a certain rate of interest compound annually. At the end of 1 year it amounts Rs5600. Calculate :
a) The rate of interest per annum.    12%p.a
b) The interest accrued in the second year.    Rs672
c) The amount at the end of the third year.     Rs7924.64

9) A man invests Rs46875 at 4% per annum compound interest for 3 years. Calculate :
a) The interest for the first year.    Rs1875
b) The amount standing to his credit at the end of the second year.    Rs50700
c) The interest for the 3rd year.   Rs2028

10) A person invests Rs5600 at 14% p.a compound interest for 2 years. Calculate :
a) The interest for the first year.    Rs784
b) The amount at the end of the first year.    Rs6384
c) The interest for the second year, correct to nearest Rs.    Rs894

11) The compound interest , calculated yearly, on a certain sum of money for the second year is Rs880 and for the third year it is Rs968. Calculate the rate of interest and the sum of the money.       10%, Rs8000

12) A certain sum money amounts to Rs5292 in two years and to Rs556.60 in three years, intrest being compounded annually. Find the rate percent.     5%

13) At what rate percent, per annum compound interest, would Rs80000 amount to Rs88200 in two years; interest being compounded yearly ?     5%

14) A sum of money is lent out at compound interest for 2 years at 20% p.a. compounded being reckoned yearly. If the same sum of money was lent out at compound interest at the same rate per annum, CI being reckoned half-yearly, it would have fetched Rs482 more by the way of intrest. Calculate the sum of money lent out.   Rs20000


EXERCISE - B


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