Question

Find the principal which will amount to Rs 4000 in 4 years at 6.25% per year

Answer 1

Given:

Amount = Rs. 4000

Time period, T = 4 years

The rate of interest, R = 6.25%

To find:

Principal

Solution:

To solve the given problem we will use the following formula:

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

We can rewrite the above two formulas as:

$\boxed{\bold{A - P = \frac{PRT}{100} }}$

Substituting the given values in the formula, we get

$4000 - P = \frac{P\times6.25\times 4}{100} }}$

$\implies 4000 - P = \frac{P\times25}{100} }}$

$\implies 4000 - P = \frac{P}{4} }}$

$\implies 16000 - 4P = P$

$\implies 4P + P = 16000$

$\implies 5P = 16000$

$\implies P = \frac{16000}{5}$

$\implies \bold{P = Rs.\:3200}$

Thus, the principal is Rs. 3200.

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Answer 2

Answer:

Given:

Amount = Rs. 4000

Time period, T = 4 years

The rate of interest, R = 6.25%

To find:

Principal

Solution:

To solve the given problem we will use the following formula:

We can rewrite the above two formulas as:

Substituting the given values in the formula, we get

Thus, the principal is Rs. 3200.

Step-by-step explanation: