alleryThe ratio compounded of 4 : 9 and the duplicate ratio of 3 : 4 is
A1 : 4
B1 : 3
C4 : 9
D3 : 1
Answer & Solution
Correct answer: A. 1 : 4
1. Duplicate ratio of 3 : 4 equals 3^2 : 4^2 = 9 : 16.
2. Compound ratio of 4 : 9 and 9 : 16 multiplies antecedents and consequents.
3. Antecedents: 4 * 9 = 36. Consequents: 9 * 16 = 144.
4. So compound = 36 : 144 = 1 : 4.
_Source: ICAI BoS Foundation Paper 3, Ch 1 Unit I 'Ratio', p.5 Ex.1(A) Q9_
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