Fraction - Quantitative Aptitude (MCQ) questions for Q. 46

Q.  If one is added to the numerator of the fraction it becomes one. If one is added to the denominator of the fraction it becomes 1/2. The fraction is?
- Published on 12 Jun 15

a. 1/2
b. 3/5
c. 2/3
d. 2/5

ANSWER: 2/3
 
Let the fraction be x/y.

=> (x+1)/y = 1

=> x+1 = y—(1)
x/(y-1) = 1/2

=> 2x = (y+1)—(2)

=>Equating (1) and (2)

=> x+1 = 2x-1

=>x=2

Subsituting the value of x in (1)

=>y=3

=>2/3

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