SSC CPO 2024 PYQ — Question 106

SSC CPO - 29 June 2024 - Shift 1 • Quantitative Aptitude • Q106

Two successive price increases of 25% and 25% of an article are equivalent to a single price increase of:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 56.25%.

Let the initial price of the article be 100x.

After the successive increase of price,

New price = 100x × 125100×125100{125 \over 100} \times {125\over 100}

⇒ 100x×2516100x \times {25 \over 16} = 156.25x

Now increase in price = 156.25x - 100x

⇒ 56.25x

Percentage increase = 56.25x100x56.25x \over 100x × 100 = 56.25%

Hence the overall increase in the price of the article is 56.25%.