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in Compound Interest by (49.2k points)
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The difference between compound interest and simple interest on a sum for 2 years at 8% p.a. is Rs 768. The sum is 

(a) Rs 100000 

(b) Rs 110000 

(c) Rs 120000 

(d) Rs 170000

1 Answer

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Best answer

(c) Rs 120000

Let the sum be Rs 100. Then,

S.I = Rs\(\frac{100\times2\times8}{100}\) = Rs 16

C.I = Rs 100\(\Big[\big(1+\frac{8}{100}\big)^2-1\Big]\)

= Rs 100\(\Big[\big(\frac{27}{25}\big)^2-1\Big]\) = Rs 100 x \(\Big[\frac{729-625}{625}\Big]\)

= Rs\(\big(\frac{100\times104}{625}\big)\) = Rs 16.64

\(\therefore\) Difference = Re 0.64 If the difference between C.I. and S.I. is Re 0.64, Sum = Rs 100 

If the difference is Rs 768, sum =Rs \(\big(\frac{100}{0.64}\times768\big)\)

= Rs 120000.

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