Question

simple interest on a sum of money is 3/4 of the sum. If the rate of interest id 6% pa. find the time​

Answer 1

Answer :-

25/2 years

Explanation :-

Given :

Simple interest on a sum of money is equal to 3/4

Rate % => 6

To Find :

Time,t = ?

Solution :

We know,

$\sf{}Simple\ Intersest=\dfrac{p\times t\times r}{100}$

Let the time be t and the principle be x

So,

$\sf{}\implies \dfrac{3}{4}x=\dfrac{6xt}{100}$

$\sf{}\implies \dfrac{3}{4}x=\dfrac{3xt}{50}$

$\sf{}\implies \dfrac{3}{50}xt=\dfrac{3}{4}x$

$\sf{}\implies 3xt\times 4=3x\times 50$

$\sf{}\implies 12xt=150x$

$\sf{}\implies t=\dfrac{150x}{12x}$

$\sf{}\implies t=\dfrac{25}{2}years$

Therefore,time is equal to 25/2 years