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A number, when 42 is subtracted from it, reduces to its 70%. What is two-fifth of that number?
Question

A number, when 42 is subtracted from it, reduces to its 70%. What is two-fifth of that number?

A.

140

B.

84

C.

56

D.

100

Correct option is C

Given:

A number, when 42 is subtracted from it, reduces to its 70%.

We need to find two-fifths of that number.

Solution:
Let the number be x. According to the problem, when 42 is subtracted from x, the result is 70% of x.

x - 42 = 0.70x

x - 0.70x = 42

0.30x = 42

x =420.30=140 \frac{42}{0.30} = 140

25×140=2805=56\frac{2}{5} \times 140 = \frac{280}{5} = 56

Two-fifths of the number is 56.

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