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If P : Q = 7 : 5, then what is the value of (5P - 2Q) : (3P + 2Q)?

5/4
6/5
25/31
31/42

Correct Answer: 25/31

Explanation:

Given, P/Q = 7/5
∴ (5P - 2Q) / (3P + 2Q) = (5 x 7 - 2 x 5) / (3 x 7 + 2 x 5)
= (35 - 10) / (21 + 10)
= 25/31

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