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P, Q, R are three cities. Avg temp of P : Q is 11 : 12, and P : R is 9 : 8. Avg temp of Q : R is
A33 : 32
B22 : 27
C32 : 33
D27 : 22
Answer & Solution
Correct answer: D. 27 : 22
1. From P : Q = 11 : 12, Q = 12P/11.
2. From P : R = 9 : 8, R = 8P/9.
3. Q : R = (12P/11) : (8P/9) = (12/11) : (8/9).
4. Multiply both sides by 99 (LCM): (12*9) : (8*11) = 108 : 88 = 27 : 22.
_Source: ICAI BoS Foundation Paper 3, Ch 1 Unit I 'Ratio', p.5 Ex.1(A) Q18_
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