If the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price… · ABC26GN2390
Subject: General Aptitude · Chapter: Percentage
If the price of a book is first decreased by 25\% and then increased by 20\%, then the net change in the price will be
(a)No change
(b)5\% increase
(c)5\% decrease
(d)10\% decrease
Answer
Answer (as printed): D
Explanation
Let the original price be ₹ 100. New final price = 120\% of (75\% of ₹ 100) $$=₹\left(\frac{120}{100} \times \frac{75}{100} \times 100\right)=₹ 90 .$$ ∴ Decrease $=10 \%$.
Explanation as extracted from the printed page; notation may be imperfect.