A trader gives a 40% discount on his goods. Further, he…

A trader gives a 40% discount on his goods. Further, he gives 20% discount on the goods. Find the single discount equivalent to these two successive discounts.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 52%.

Let the marked price of the goods be 100x.

SP = MP $\times {{100 - D_1}\over 100} \times {{100 - D_2} \over 100}$

According to the given question,

⇒ SP = 100x $\times {{100 - 40}\over 100} \times {{100 - 20} \over 100}$

⇒ SP = x × 48

⇒ SP = 48x

Overall discount = 100x - 48x = 52x

Discount percentage = ${52x \over 100x} \times 100$ = 52%

Hence the single discount equivalent to these two successive discounts is 52%.

SSC CPO 2024 PYQ — Question 129