Ratio and Proportion - Quantitative Aptitude (MCQ) questions for Q. 21151

Q.  Two numbers are in the ratio of 6 : 8. If 10 is subtracted from each, the new numbers are in the ratio 16 : 32. Find the smaller number.
- Published on 22 Apr 16

a. 22
b. 12
c. 38
d. 15

ANSWER: 15
 
Let the number be 6x and 8x.
Then, (6x – 10) / (8x – 10) = 1 / 2
2 (6x – 10) = (8x – 10)
12x – 20 = 8x – 10
4x = 10
x = 2.5
The smaller number = (6 x 2.5) = 15

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