Question

If the numerator of a fraction is increased by 10% and the denominator is increased by 20% the resultant fraction is 11/15. What was the original fraction?

a) 7/12
b) 4/5
c) 3/5
d) 5/12
e) None of these​

Answer 1

Answer:

option (b) will be ur correct answer

Step-by-step explanation:

Let the fraction be x/y

x+(x*10%)/y+(y*20%) = 11/15 [As per the problem]

x+0.1x/y+0.2y = 11/15

1.1x/1.2y = 11/15 [Multiply by 10 on numerator and denominator to remove decimal]

11x/12y = 11/15

x/y = (11/15)*(12/11) [Perform cross-multiplication]

x/y = 12/15 [Simplify the fraction]

x/y = 4/5 (Ans)