Question

If 30% of 25% of a number is 15 then the number is

Answer 1

Let the required number be n .

Then,

$\large \bf30\% \times ( \frac{25n}{100} ) = 15 \\ \\ \sf \frac{30}{100} \times \frac{n}{4} = 15 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: n = \frac{ \cancel{15} \times 4 \times 100}{ \cancel{30}} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: n = \frac{ \cancel4 \times 100}{ \cancel2} = 2 \times 100 \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: n = \red{ 200}$

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Answer 2

The number is 200

Given that,

30 percent of 25 percent of a number is equal to 15

To find : The required number

Process :

Let, the number be x.

So, according to question, we can write,

$30\% \: \times 25\% \times x = 15$

We can write,

$30\% = \frac{30}{100}$

$25\% = \frac{25}{100}$

So,

$\frac{30}{100} \times \frac{25}{100} \times x = 15$

$\frac{3}{10} \times \frac{1}{4} \times x = 15$

$\frac{3x}{40} = 15$

$3x = 15 \times 40$

$3x = 600$

$x = \frac{600}{3}$

$x = 200$