Question

The Simple interest accrued on an amount of Rs. 2,500 at the end of six years is Rs.1875. What would be the simple interest accrued on an amount of Rs. 6875 at the same rate and Same period?

Answer 1

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Answer 2

Answer:

Required simple interest in 5156.25 rupees

Step-by-step explanation:

Given, simple interest accrued on an amount of Rs. 2,500 at the end of six years is Rs.1875.

So, simple interest = 1875 rupees,time = 6 years and principal = 2500 rupees.

We know, simple interest

$= \frac{prt}{100}$

where,p is principal,r is rate of interest,t is time.

Here,

$p = 2500 \: rupees \\ t = 6 \: years \\ simple \: interest \: = 1875$

According to question,

$\frac{2500 \times r \times 6}{100} = 1875 \\ r = \frac{1875 \times 100}{2500 \times 6} \\ r = 12.5\%$

Again given, principal = 6875 rupees

So,

$simple \: interest = \frac{6875 \times 6 \times 12.5}{100} \\ = 5156.25$

So, required simple interest is 5156.25 rupees.

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