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Two numbers P and Q are such that 3% of P added to 6% of Q equals four-fifths of the sum of 4% of P and 6% of Q. What is the ratio of (P + Q) to (P - Q)?

1. 5 : 6
2. 7 : 5
3. 4 : 5
4. 6 : 5

Correct answer: 7 : 5

Solution

From 0.03P + 0.06Q = (4/5)(0.04P + 0.06Q): multiply both sides by 100: 3P + 6Q = 3.2P + 4.8Q => 1.2Q = 0.2P => P/Q = 6. So P = 6Q. Then (P+Q):(P-Q) = 7Q:5Q = 7:5.

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