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If p : q = 2 : 3 and x : y = 4 : 5, the value of (5px + 3qy) : (10px + 4qy) is
A17 : 28
B27 : 28
C50 : 82
D71 : 82
Answer & Solution
Correct answer: A. 17 : 28
1. Let p = 2, q = 3, x = 4, y = 5 to use the given ratios directly.
2. Numerator: 5(2)(4) + 3(3)(5) = 40 + 45 = 85.
3. Denominator: 10(2)(4) + 4(3)(5) = 80 + 60 = 140.
4. Ratio = 85 : 140; divide both by 5 to get 17 : 28.
_Source: ICAI BoS Foundation Paper 3, Ch 1 Unit I 'Ratio', p.5 Ex.1(A) Q22_
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