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Ratio and Proportion - General Aptitude

Q1:

Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

A 27

B 33

C 49

D 55

ANS:B - 33

Let the numbers be 3x and 5x.

Then, 3x - 9 = 12
5x - 9 23
23(3x - 9) = 12(5x - 9) 9x = 99 x = 11. The smaller number = (3 x 11) = 33.