SSC CPO 2023 PYQ — Question 146

SSC CPO - 04 Oct 2023 - Shift 2 • Quantitative Aptitude • Q146

A number is first decreased by 28% and then increased by 28%. The number so obtained is 784 less than the original number. Find the value of the original number.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 10000.

Given that

A number is first decreased by 28% and then increased by 28%

Let the original number be N

According to the question

⇒ N - N × 72/100 × 128/100 = 784

⇒ 10000N - 9216N = 7840000

⇒ 784N = 7840000

⇒ N = 10000