SSC Selection Post 2024 PYQ — Question 70

SSC Selection Post - Higher Secondary Level - 21 June 2024 - Shift 2 • Quantitative Aptitude • Q70

Two articles were sold for ₹3,000 each, with no loss or profit in the entire transaction. If one was sold at a profit of 25%, then the loss incurred on the second article is ________.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 162316 {{2} \over 3}%.

Cost price of 1st article = x

Selling price = x + 25% of x = 1.25x

⇒ 1.25x = 3000

⇒ x = 2400

So, the cost price of 1st article = ₹2400

Total cost price of both articles = ₹2400 + y

Total selling price = ₹3000 + ₹3000 = ₹6000

No profit no loss ⇒ Total cost = ₹6000

⇒ 2400 + y = 6000

⇒ y = 3600

So, the cost price of the 2nd article = ₹3600

Selling price = ₹3000

Loss = 3600 - 3000 = ₹600

Loss% = 6003600600\over3600 × 100 = 162316 {{2} \over 3}%