Question

The difference between CI and Si on a certain sum of money 2 years at 15% P A is rupees 144 find the sum

Answer 1

$\huge{\orange{\tt{\underline{\underline{Solution}}}}}$

$\Large{\green{\tt{\underline{\underline{Given :-}}}}}$

Time = 2 years , Rate = 15%p.a and

Difference between CI and SI = ₹144

$\Large{\blue{\tt{\underline{\underline{Formula \ used :-}}}}}$

$difference \: between \: ci \: and \: si \: for \: two \: years \: = p( \frac{r}{100} )^{2}$

Hence

$144 = p( \frac{15}{100} )^{2} \\ 144 = p( \frac{3}{20} )^{2} \\ 144 = p \times \frac{9}{40} \\ p = \frac{144 \times 40}{9} \\ p = 6400$

Hence the sum is ₹6400

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