Question

If 8% of a number equals 30, find 40% of that number.

Answer 1

If 8% of a number equals 30, 40% of that number 150.

The percentage of a given number is the fraction of that number divided by 100.

Let assume that the unknown number is (a).

• So, 8% of a = 30.

i.e.

• 0.08a = 30

Making (a) the subject of the formula now;

• a = 30/0.08
• a = 375

Now, we are meant to determine the 40% of that unknown number (a)

Since (a) has been determined to be 375.

Then, 40% of 375 is calculated as:

• $\mathbf{=\dfrac{40}{100} \times 375}$
• = 150

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