Question 7

If 5% of (P + Q) = 20% of (P - Q), then P is what percentage of Q?

Solution

Given : 5% of (P + Q) = 20% of (P - Q)

=> $$\frac{5}{100}\times(P+Q)=\frac{20}{100}\times(P-Q)$$

=> $$P+Q=4P-4Q$$

=> $$4P-P=Q+4Q$$

=> $$3P=5Q$$

=> $$\frac{P}{Q}=\frac{5}{3}$$

Thus, required % = $$\frac{5}{3}\times100=166.66\%$$

=> Ans - (B)

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