Latest TCS Aptitude Question SOLUTION: If the numerator of a fraction is increased by 10% and the denominator is increased by 20%, then the fraction reduces to ½. If the denominator is more than the numerator by 5, wha

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If the numerator of a fraction is increased by 10% and the denominator is increased by 20%, then the fraction reduces to ½. If the denominator is more than the numerator by 5, what is the original fraction?
(a) 7/12 (b) 8/13 (c) 6/11 (d) Cannot say

Asked In TCS (12 years ago)

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Akash Sharma  (12 years ago)

use hit & trial approach for this type of question & verify options.....
put opt a.) 7/12 (7+.7)/(12+2.4) 7.7/14.4 not equal to 1/2 hence not satisfied
put opt b.) 8/13 (8+.8)/(13+2.6) 8.8/15.6 not equal to 12 hence not satisfied
put opt c.) 6/11 (6+.6)/(11+2.2) 6.6/13.2 equals to 1/2 hence satisfied.

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rashmi  (12 years ago)

i culdnt get the question wat does A1/2 means

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Harsh Gupta  (12 years ago)

suppose x=numerator; y=denominator;so it look like x/y;
10% of x=x/10 then x=x+x/10=11x/10
20% of y=y/5 then y=y+y/5=6y/5;
x/y=(11x/10)/(6y/5);
according to question
denominator is 5 extra than num..
now 6y/5 -5=11x/10
11x-12y=50
put x=10;y=5;
suppose previous fraction is z
then z-1/2=11x/10 / 6y/5
so, z=5/2

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