SSC Selection Post 2022 PYQ — Question 64

SSC Selection Post - Matriculation Level - 10 Feb 2022 - Shift 1 • Quantitative Aptitude • Q64

Rohit sells an article at a certain price. If he sells it at 72% of that price, he incurs a loss of 20%. If he sells it at 20% above its actual selling price, then his profit percentage is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 3313\frac{1}{3}%.

Let the original selling price = ₹x

Selling price = 72x10072x\over100 = 18x2518x\over25

Cost Price = 18x2518x\over25 × 545\over4 = 9x109x\over10

New selling price = 20% above x

New selling price = 120x100120x\over100 = 6x56x\over5

Profit = SP − CP 

⇒ 6x56x\over5 - 9x109x\over10 = 3x103x\over10

Profit% = 3x109x10{3x\over10}\over{9x\over10} = 13×100{1\over3}\times100 = 331333\frac{1}{3}%