Question

The simple interest on a sum of a money will be 3/4 of the principal after certain number of years. If the interest is rs 360 at the end of the second year. What will be the rate of interest per annum

Answer 1

Answer:

Step-by-step explanation:

Let the principal= p.

So SI=3p/4.

Conditionally,

3p/4 =360

So p=360×4/3 =480.

Let the rate of interest= r% per annum.

Conditionally,

480×2×r/100 =360

=>r =360×100/(480×2) =75/2

Answer 2

The rate of interest per annum is 37.5%.

Step-by-step explanation:

Given:

The simple interest on a sum of a money will be 3/4 of the principal after certain number of years.

The interest is rs 360 at the end of the second year.

To Find:

The rate of interest per annum.

Formula Used:

$SI=\frac{MSR}{100}$               --------------------------- formula no 01.

Where,

SI = simple interest

M = principal

R = interest rate (in percentage)

S= time duration (in years)

Solution:

As given,the simple interest on a sum of a money will be 3/4 of the principal after certain number of year.

$SI=\frac{3}{4} M$

As given,the interest is rs 360 at the end of the second year,

S=2 years.

Applying the formula no.01.

$\frac{3}{4} M=\frac{M\times 2\times R}{100}$

 $R=\frac{3\times M\times100}{M\times2\times4}$

     $=\frac{300}{8} =37.50$

Thus,the rate of interest per annum is 37.5%.

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