Question

the simple interest on a certain sum for 7 years at 14% p.a.is rs 4760 more than the SINGER on the same sum for 4 years at 10.5% p.a. find the principal

Answer 1

Given:

The simple interest on a certain sum for 7 years at 14% p.a.is rs 4760 more than the S.I. on the same sum for 4 years at 10.5% p.a.

To find:

The principal

Solution:

Let's assume "P" represents the principal.

The formula to calculate simple interest is as follows:

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

According to the question, we can form the equation as:

$\frac{P \times 14 \times 7}{100} - \frac{P \times 10.5 \times 4}{100} = 4760$

$\implies \frac{1}{100} [98P - 42P] = 4760$

$\implies 98P - 42P = 4760 \times 100$

$\implies 56P = 4760 \times 100$

$\implies P = \frac{4760 \times 100}{56}$

$\implies \bold{P = 8500}$

Thus, the principal is → Rs. 8500.

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Answer 2

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