Question

9. If 16% of a number is 72, find the number.
10
mar​

Answer 1

16/100×y=72

16y/100=72

16y=7200

y=7200/16=450

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Answer 2

Given

16% of a number is 72

To find

The number

Assumption

Let the number be x.

Answer and explanation

Since 16% of x is 72

In an equation it can be written as

$\frac{16}{100} \times x = 72$

Thus

$\frac{16x}{100} = 72$

So

$16x = 72 \times 100$

Thus x is

$x = \frac{72 \times 100}{16} = 450$

Thus x = 450

Check

Given that

16% of x is 72

That is

$\frac{16}{100} \times x = 72$

Put x = 450 in LHS

So

$\frac{16}{100} \times 450 = 72$

Well the LHS simplifies to 72 and as LHS = RHS

This means, x surely is equal to 450

Hope it helps you

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