Question

There is 60% increase in an amount in 6 years at simple  interest . What will be the compound interest of Rs. 12,000 after  3 years at the same rate ?


Options:
A .  Rs. 2160
B .  Rs. 3120
C .  Rs. 3972
D .  Rs. 6240
E .  None of these
Answer: Option C

Let P = Rs. 100,  Then  S.I.  Rs. 60   and T = 6 years

`:.`      R =` (100 xx 60)/(100 xx 6) = 10%p.a.`

Now, P = Rs. 12000,    T = 3 years and    R = 10% p.a.

`:.`    C.I. = Rs. `[12000 xx {(1 + 10/100)^3 - 1}]`

=Rs. `(12000 xx 331/1000)` = Rs. 3972.




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