The difference between two numbers P and Q (P > Q) is 40% of their sum. The ratio P : Q is: Option 1: 6 : 4 Option 2: 7 : 3 Option 3: 8 : 5 Option 4: 5 : 4

Answer: 7 : 3. Solution: P - Q = 0.4(P + Q). 100(P-Q) = 40(P+Q), giving 60P = 140Q, so P/Q = 140/60 = 7/3. Hence P : Q = 7 : 3.

Arithmetic

Ratio, Proportion & Variation

Medium

The difference between two numbers P and Q (P > Q) is 40% of their sum. The ratio P : Q is:

6 : 4

7 : 3

8 : 5

5 : 4

✅ Correct Option: 2

$P - Q = 0.4(P + Q)$ . $100(P-Q) = 40(P+Q)$ , giving $60P = 140Q$ , so $P/Q = 140/60 = 7/3$ . Hence $P : Q = 7 : 3$ .

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The difference between two numbers P and Q (P > Q) is 40% of their sum. The ratio P : Q is:

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