If the numerator of a fraction is increased by 300% and the denominator is increased by 200% , the resultant fraction is `(4)/(15)` . What is the original fraction ?

Options

A. `(3)/(5)`
B. `(4)/(5)`
C. `(2)/(5)`
D. `(1)/(5)`

Answer

D

Explanation

(d) Let the original fraction be `(x)/(y)`
According to the question
` (x xx400)/(y xx 300)=(4)/(15)`
`implies (x)/(y)=(4)/(15)xx(3)/(4)=(1)/(5)`