SSC Selection Post 2022 PYQ — Question 55

SSC Selection Post - Graduation Level - 9 Feb 2022 - Shift 3 • Quantitative Aptitude • Q55

The cost price of articles X and Y is the same. Article X is sold at a 20% profit, and article Y is sold for ₹126 less than the selling price of X. If the net profit by selling both articles is 14%, then what is the cost price (in ₹) of each article?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 1,050.

Let the CP of X and Y be the same = P

SP of X = 1.2P

SP of Y = 1.2P - 126

Total CP = P + P = 2P

1.2P + (1.2P - 126) = 1.14 × 2P

⇒ 2.4P - 126 = 2.28P

⇒ 0.12P = 126

⇒ P = 126/0.12 = 1050