SSC CPO 2020 PYQ — Question 137

SSC CPO - 24 Nov 2020 - Shift 2 • Quantitative Aptitude • Q137

If the selling price of 50 articles is equal to the cost price of 42 articles, what is the approximate loss or profit percentage?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 16% loss.

Profit% or Loss% = [(The difference between S.P and CP.)/C.P]/100

If S.P > C.P = profit

If C.P > S.P = Loss

Now,

Let the C.P of one article be x and the S.P of one article is y

C.P for the 42 articles will be = 42x

S.P for the 50 articles will be = 50y

Now according to the question

⇒ C.P = S.P

⇒ 42x = 50y

⇒ x : y = 50 : 42 = 25 : 21

Here C.P. is 25 and S.P. is 21

So, C.P > S.P = loss

Loss = C.P - S.P = 25 - 21 = 4

Loss% = (4/25) × 100 = 4 × 4 = 16%