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If one-fourth of half of a number is 25, then 20% of that number is:
Question

If one-fourth of half of a number is 25, then 20% of that number is:

A.

80

B.

20

C.

60

D.

40

Correct option is D

Given:

One-fourth of half of a number is 25.

Solution:

Let the number be 'x'.

Half of the number is x2.\frac x2.​​

One-fourth of half the number is 14×x2=x8.\frac14 \times \frac x2 = \frac x8.​​

According to the problem,x8 \frac x8​ = 25.

x = 25 ×\times​ 8

x = 200

20% of x = 20100×\frac{20}{100}\times​200

20% of x = 40

Therefore, 20% of the number is 40.

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