Question

3. In what will time 500 give 50 as interest at the rate of 5% p.a. simple interest?

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Answer 1

GIVEN :-

• Simple Interest = 500Rs
• Rate = 5%
• Principal = 50Rs

TO FIND :-

• Time

FORMULA TO KNOW :-

${Simple\: Interest} = \dfrac{PTR}{100}$

• P - Principal
• T - time period
• R - Rate

SOLUTION:-

Just plugging values:-

${Simple\: Interest} = \dfrac{PTR}{100}$

${50} = \dfrac{500\times T \times 5}{100}$

${50} = \dfrac{2500\times T}{100}$

Cross multiplication

50 × 100 = 2500×T

5000 = 2500 T

50 = 25T

T = 50/25

T = 2years

So, Time period is 2 years

Answer 2

Given :

• Simple Interest = 500Rs
• Rate = 5%
• Principal = 50Rs

To find :

• What is time ?

Solution :

P = 500

SI = 50

R = 5%

$\sf \red{T = \frac{SI\times 100}{P × R}}$

$\sf \frac{\cancel{50 \times 100}}{\cancel{10500 \times 5}}$

∴ We got 2 years

T = 2 years .