d Problem 13: 60% of 3/8 of a number is 180. find the number? | Job Exam Rare Mathematics (JEMrare) - Solved MCQs
Advertisements

# Problem 13: 60% of 3/8 of a number is 180. find the number?

Problem 13: 60% of 3/8 of a number is 180. find the number?

Solution:

In this problem, we just start with a supposition of the number and finish with the percentage calculation.

That is we suppose:

$The Number =x$

$\frac{3}{8} OfThe Number= \frac{3}{8}x$

or

$=\frac{3x}{8}$

As per given statement ;

60 % of the 3/8 of the number is to be calculated by using percentage formula;

$60 Percent Of The (3/8) Of The Given Number= \frac{60}{100}\times (\frac{3x}{8})$

which on simplification will look as under;

$60 Percent Of The (3/8) Of The Given Number= (\frac{9x}{40})$

But in the statement 60% of the 3/8 of number = 180

so we should have;

$\frac{9x}{40}= 180$

hence,

$\frac{9x}{40}=180$

so,

$x= \frac{180\times 40}{9}=20 \times 40=800$

## Check:

We can check this in accordance with the conditions given in the statement now!

$\frac{3}{8} Of 800=\frac{3}{8} \times 800=300$

And now we calculate 60 percent of 300;

$60Percent Of 300=\frac{60}{100}\times300=180$

Hence the proof !

——————————————————————————————————————————–

eye test for you!