If 20% of (P + Q) = 50% of (P – Q), then find P : Q. · ABC26GN2911
Subject: General Aptitude · Chapter: Ratio and Proportion
If 20% of (P + Q) = 50% of (P – Q), then find P : Q.
Answer
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Explanation
$20\%$ of $(P+Q)=50\%$ of $(P-Q)$ $$\Rightarrow \frac{20}{100}(P+Q)=\frac{50}{100}(P-Q) \Rightarrow \frac{P+Q}{5}=\frac{P-Q}{2} \Rightarrow 2(P+Q)=5(P-Q) \Rightarrow 3P=7Q \Rightarrow \frac{P}{Q}=\frac{7}{3} \Rightarrow P:Q=7:3.$$
Explanation as extracted from the printed page; notation may be imperfect.
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