Question

the simple interest on a sum for 5 years is 2/5 of the sum. the rate percent per annum is​

Answer 1

Answer:

2x = 5x × 5 × R/100

R = 8%

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Step-by-step explanation:

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Answer 2

If the simple interest on a sum for 5 years is 2/5 of the sum then the rate per cent per annum is 8%.

Step-by-step explanation:

Required formula:

S.I. = $\frac{PRT}{100}$

Time period, T = 5 years

Let the sum be denoted as “P” and the rate of interest p.a. be denoted as “R%”.

It is given that the simple interest on the sum is 2/5th of the sum, therefore,

S.I. = $\frac{2}{5}$ * P

Substituting all the values in the above formula, we get

$\frac{2}{5} * P = \frac{PRT}{100}$

⇒ $\frac{2}{5} * P = \frac{P*R}{20}$

cancelling P from both sides

⇒ R =$\frac{2*20}{5}$

⇒ R = $\frac{40}{5}$

⇒ R = 8%

Thus, the rate of interest is 8% p.a.

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