Question

If the numerator of a fraction is increased by 200% and the
deceased by 400%, the
1
resultant fraction is 1 What was the original fraction?
​

Answer 1

Answer:

Let the numerator be 'x' & denominator be 'y'.

So the fraction is x/y.

Numerator (x) is increased by 200% means 3x.

Denominator. (y) is increased by 150% means 2.5y.

(Example: let a number is 1. Which means 1 is 100% of itself.

So,

Increasing 1 to 100 % means( 1+100%of 1)=1+1=2

Increasing 1 to 200% means( 1+200% of 1) =1+2=3

Increasing 1 to 150% means (1+150% of 1)= 1+1.5=2.5)

Thus, the resultant fraction is 3x/2.5y which equals to 9/35.

=> 3x/2.5y = 9/35

=>3x*35 = 2.5y*9 (Cross Multiplication)

=>35x = 7.5y (Divided by 3)

=> x/y = 7.5/35 (Separating Variable & Constant)

=> x/y = 3/14

So the fraction is 3/14.