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Question : 16 of 39

Marks: +1, -0

Four-fifths of three-eighths of a number is 240 . What is

25\%

of that number?

100
160
1120
200

Solution:

Concept:

Translate the words into an equation and solve step by step.

Explanation:

Let the number be

x

.

Four-fifths of three-eighths of

x

is

240

:

\frac{4}{5} \times \frac{3}{8} \times x = 240

.

Simplify:

\frac{12}{40}x = 240

, which reduces to

\frac{3}{10}x = 240

.

Multiply both sides by

\frac{10}{3}

:

x = 240 \times \frac{10}{3} = 800

.

Now

25\%

of

x

is

\frac{25}{100} \times 800 = \frac{1}{4} \times 800 = 200

.

Answer:

200

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