The numerator of a certain fraction is 8 less than the denominator If 3 is added to the numerator an...........

Quantitative Aptitiude (CLAT) Ratio, Proportion

The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?

2/5

7/9

3/11

8/5

Explanation:

The denominator be P, the numerator will be (P - 8)
The fraction will be (P - 8)/P
Adding 3 to the numerator and subtracting 3 from the denominator, (P - 8 + 3)/(P - 3) = 3/4
(P - 5)/(P - 3) = 3/4
P = 20 - 9 => P = 11
The fraction is: 3/11