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If 50% of (p - q) = 30% of (p + q), then p : q is equal to?
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& 50\% {\text{ of }}\left( {p - q} \right) = 30\% {\text{ of }}\left( {p + q} \right) \cr
& \frac{{p - q}}{2} = \frac{3}{{10}}\left( {p + q} \right) \cr
& \left[ {50\% = \frac{1}{2}} \right] \cr
& \Rightarrow 5\left( {p - q} \right) = 3\left( {p + q} \right) \cr
& \Rightarrow 5p - 5q = 3p + 3q \cr
& \Rightarrow 2p = 8q \cr
& \Rightarrow 1p = 4q \cr
& \Rightarrow p:q = 4:1 \cr} $$
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