SSC CHSL 2022 PYQ — Question 53

SSC CHSL - 31 May 2022 - Shift 3 • Quantitative Aptitude • Q53

A pen was sold for ₹28.75 at a profit of 15%. If it was sold for ₹25.75, then what would have been the percentage of profit?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 3%

Given:

S.P.1 =  ₹28.75

S.P.2 =  ₹25.75

Profit = 15%

Formula Used:

S.P.=C.P.×(100+P)100S.P. = C.P. \times {(100 + P) \over 100}

Explanation:

According to the given question,

28.75=C.P.×(100+15)10028.75 = C.P. \times {(100 + 15) \over 100}

⇒ C.P. = 28751152875 \over 115

⇒ C.P. = ₹ 25

Now, new profit = C.P. - S.P.2 = 25.75 - 25 = 0.75

So, Profit % = 0.7525×100{0.75 \over 25} \times 100 = 3 %

Hence the required answer is 3%.