Question

The difference between compound interest and
simple interest on a sum for 2 years at 10% per
annum, when the interest is compounded
annually is Rs. 16. If the interest were
compounded half-yearly, the difference in two
interests would be:
(a) Rs. 24.81 (b) Rs. 30
(c) Rs. 31.61 (d) Rs. 35

Answer 1

HEY MATE..... HERE'S YOUR ANSWER....
A.) 24.81

Explanation:
SI on (S.I. for 1 year) = Rs.16
SI on (P*1*10/100) = Rs.16
SI of P = Rs.160
Therefore,
P = 100*160/10*1 = Rs. 1,600
r = 10% = 10/100 = 0.1
n = 2 yrs.
Amount for 2 years compounded half-yearly
= P*[1+(r/2)^2n]
= 1,600*[1+(0.1/2)^4] = Rs. 1944.81
CI = A - P = 1944.81 - 1600 = Rs. 344.81
SI = (1600*10*2)/100 = Rs. 320
So, CI - SI = 344.81 - 320 = Rs. 24.81

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Answer 2

Answer:

yes answer is a right eska answer sahi hai