Question

At simple interest a sum becomes 7/4 itself in 5 years. The rate of interest is? ​

Answer 1

Answer:

15%

Step-by-step explanation:

Amount in 7 years = 7/4 × Principa

Interest = Amount - Principal

Interest = 7P/4 - P = 3P/4

interest = P×R×T/100

3P/4 = P×R× 5/100

3/4 × 20 = R

R = 15%

Answer 2

Given:-

• At simple interest, a sum becomes 7/4 of itself in 5 years.

To find:-

• The rate of interest is?

Formulas to be used:-

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

Solution:-

Let,

1. "P" → represents the sum of money.

• "R" → represents the rate of interest.
• "T" → represents the no. of years.

As given in the question, Amount, A = $\frac{7}{4} \:of\:principal = \frac{7}{4} \times P$

T = 5 years

∴ S.I. = A - P = $\frac{7P}{4} - P = \frac{3P}{4}$

Now, on substituting the value of P, T & S.I. in the formula of S.I., we get

$\frac{3P}{4} = \frac{P \times R \times 5}{100}$

$\implies \frac{3}{4} = \frac{ R \times 5}{100}$

$\implies \frac{3}{4} = \frac{ R \times 1}{20}$

$\implies 3 = \frac{ R \times 1}{5}$

$\implies R = 3 \times 5$

$\implies \bold{R = 15\%}$

Thus, the rate of interest is → 15%.

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