alleryIf a : b = 3 : 4, the value of (2a + 3b) : (3a + 4b) is
A54 : 25
B17 : 24
C8 : 25
D18 : 25
Answer & Solution
Correct answer: D. 18 : 25
1. Let a = 3k and b = 4k for any non-zero k.
2. Compute 2a + 3b = 2(3k) + 3(4k) = 6k + 12k = 18k.
3. Compute 3a + 4b = 3(3k) + 4(4k) = 9k + 16k = 25k.
4. So (2a + 3b) : (3a + 4b) = 18k : 25k = 18 : 25.
_Source: ICAI BoS Foundation Paper 3, Ch 1 Unit I 'Ratio', p.5 Ex.1(A) Q12_
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