Suneeta borrowed certain sum from Reena for 2 | vedclass

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Question

Let the sum borrowed be Rs. P Rate of interest $= R \%$ $CI = Rs. 110, SI = Rs .100,$ Time $( t )=2$ years

$CI - SI =110-100=10$

$\Rightarrow$ D

Vedclass · Accepted Answer

$Rs. 250$ , rate $20 \%$ pa

Vedclass · Answer

Let the sum borrowed be Rs. P Rate of interest $= R \%$ $CI = Rs. 110, SI = Rs .100,$ Time $( t )=2$ years

$CI - SI =110-100=10$

$\Rightarrow$ Difference $=\frac{P R^{2}}{(100)^{2}} \Rightarrow 10=\frac{P R^{2}}{(100)^{2}}$

$\Rightarrow$ Difference $=\frac{S I 	imes R}{200} \Rightarrow 10=\frac{100 	imes R}{200} ; R=20 \%$

Put value (ii) in (i)

$\Rightarrow 10=\frac{P(20)^{2}}{(100)^{2}} ; P=R s .250$

Suneeta borrowed certain sum from Reena for $2 \,yr$ at simple interest. Suneeta lent this sum to Venu at the same rate for $2 \,yr$ at compound interest. At the end of $2 \,yr$, she received $Rs. 110$ as compound interest but paid $Rs. 100$ as simple interest. Find the sum and the rate of interest?

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