Question

What sum lent out at 7½ per annum would yield ₹384 as simple interest for 2 years?​

Answer 1

$\bf Simple \: Interest = Rs \: 57.6$

$\bf Amount = Rs \: 441.6$

Step-by-step explanation:

GIVEN

Principal = ₹384

Rate = 7½ = 7.5

Time = 2 years

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TO FIND

Simple Interest , Amount

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We know that,

$Simple \: Interest = \frac{Principal \times Rate \times Time}{100}$

$Simple \: Interest = \frac{ 384 \times 7.5 \times 2 }{100}$

$Simple \: Interest = \frac{5760}{100}$

$\bf Simple \: Interest = Rs \: 57.6$

___________________________

We know that,

$Amount = Principal + Simple \: Interest$

$Amount = 384 + 57.5$

$Amount = 441.6$

$\bf Amount = Rs \: 441.6$

Answer 2

Answer:

$\rm{\fbox{Let \: it \: be,}}$

Principal(P):– ₹384

Rate of interest(R):– 7½ = 7.5

Time(T):– 2 years

$\rm{\fbox{Formula:–}}$

Interest = ↓

$\frac{principal \: \times \: rate \: of \: interest \: \times \: time}{100}$

$\rm{Interest \: = \: \frac{384 \times 7.5 \times 2}{100} }$

$\rm{Interest \: = \: \frac{5160}{100} }$

Interest = 51.6

$\rm{\fbox{Required \: Answer}}$

51.6 is the required answer