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If 1.5a = 0.04b then $$\frac{{b - a}}{{b + a}}$$ is equal to?
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& 1.5a = 0.04b \cr
& \frac{a}{b} = \frac{{0.04}}{{1.5}} = \frac{4}{{100}} \times \frac{{10}}{{15}} = \frac{2}{{75}} \cr
& {\text{Let }}a = 2x,{\text{ }}b = 75x \cr
& \therefore \frac{{b - a}}{{b + a}} = \frac{{75x - 2x}}{{75x + 2x}} = \frac{{73}}{{77}} \cr
& \cr
& {\bf{Alternate:}} \cr
& \frac{a}{b} = \frac{{0.04}}{{1.5}} \cr
& \therefore \frac{{b - a}}{{b + a}} = \frac{{1.5 - 0.04}}{{1.5 + 0.04}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{1.46}}{{1.54}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{73}}{{77}} \cr} $$
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