If numerator of a fraction is decreased by 20% and the denominator of the same fraction is increased by 30%, then what fraction of the old is the new fraction ?

Correct option is D

Given:

Original fraction =$$\dfrac{a}{b}$$​​

Numerator decreased by 20%

new numerator = 0.8a

Denominator increased by 30%

new denominator =1.3b

Solution:
New fraction $$=\dfrac{0.8a}{1.3b}=\left(\dfrac{0.8}{1.3}\right)\dfrac{a}{b}$$​​

Hence, the new fraction =$$\dfrac{8}{13}\times$$​ (old fraction).