SSC GD 2024 PYQ — Question 58

The correct answer is option 2 i.e. 4% decrease.

Let the initial price of the article be Rs. x.

The price of the article is reduced by 40%, 

New price = $x \times {{100 - 40}\over 100}$ 

⇒ ${60 \over 100}x$

Let the initial sale of the article be y.

The sale is increased by 60%,

New sale = $y \times {{100 + 60}\over 100}$

⇒ ${160 \over 100}y$

Now money earned initially = xy

Money earned after = ${60 \over 100}x\ \times {160 \over 100}y$

⇒ ${96 \over 100} xy$

Decrease in money earned = xy - ${96 \over 100} xy$

⇒ 4xy/100

Percentage decrease = ${{4xy \over 100}\over xy} \times 100$ = 4%

Hence the net effect on the sale is 4% decrease.