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If 0.25 a = 0.05 b, then which of the options below gives the bet approximation of the value of b−ab+a\frac{b-a}{b+a}b+ab−a​​ ?
Question

If 0.25 a = 0.05 b, then which of the options below gives the bet approximation of the value of bab+a\frac{b-a}{b+a}​ ?

A.

0.16

B.

1.6

C.

0.67

D.

6.6

Correct option is C

Given:

0.25 a = 0.05b

Solution:

0.25a = 0.05b

25a = 5b

5a = b

Substituting the value of b in bab+a\frac{b-a}{b+a}​​

=5aa5a+a=4a6a=23=0.666..=0.67= \frac{5a-a}{5a+a} = \frac{4a}{6a} = \frac{2}{3} =0.666.. \sim = 0.67​​

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