Question

What sum of money will yield Rs 170. 10 as simple interest in 2 years 3 months at 6% per annum

Answer 1

Answer:

$Required \: sum = Rs\:315$

Step-by-step explanation:

$Given \: Simple \: interest (I)=Rs\: 170.10\\Time = 2\: years \: 3\:months \\ = 2 \: years + 3\:months\\= 2 \: years + \frac{3}{12}\:years\\= 2 \: years + \frac{1}{4}\:years\\= \frac{8+1}{4}=\frac{9}{4}\: years$

$Rate \: of \: interest (R) = 6\% \:per \: annum$

$Let \: the \: sum = P$

$\boxed { \frac{PTR}{100}=I}$

$\implies P = \frac{100 \times I }{TR}\\=\frac{ 100\times 170.10}{ \frac{9}{4}\times 6}\\= \frac{ 17010\times 4}{9 \times 6}\\= Rs\: 315$

Therefore.,

$Required \: sum = Rs\:315$

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