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A sum of Rs. 10640 gives interest of Rs. 3724 in x years at 5% simple interest. What will be the value of x?

A8 years

B6 years

C7 years

D9 years

Answer:

C. 7 years

Read Explanation:

Solution:

Given:

Principal = Rs. 10640

Simple interest = Rs.3724

Rate = 5%

Formula used:

Simple interest (SI)=Principal(P)×Rate(r)×Time(x)100(SI) = Principal (P)\times{Rate (r)}\times{\frac{Time (x)}{100}}

SI=(P×r×x)100SI = \frac{(P\times{r}\times{x})}{100}

Where x is in years

Calculation :

3724=10640×5×(x)1003724 = \frac{10640\times{5}\times{(x)}}{100}

x=74481064⇒ x=\frac{7448}{1064}

∴ x = 7 years


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In how many years will the simple interest on a sum of money be equal to the principle at rate of 122412\frac{2}{4}% p.a ?