ABC26GN2911 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:

If 20% of (P + Q) = 50% of (P – Q), then find P : Q.

Answer

Answer (as printed):

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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