SSC CGL 2021 PYQ — Question 67

SSC CGL - 17 Aug 2021 - Shift 3 • Quantitative Aptitude • Q67

The cost price and the marked price of an item are ₹720 and ₹900 respectively. When it is sold at a discount of x%, the profit is  5x3\frac{5x}{3}%%. What is the value of x?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4. i.e  847%8\frac{4}{7} \%

Cost price = ₹720

Marked price = ₹900

Discount% = x%

Selling price = 900 × ( 100 - x )/100 = 900 - 9x.

Profit % = (5x/3)%

Selling price = 720 × ( 300 + 5x )/300 = 720 + 12x

⇒ 720 + 12x = 900 - 9x

⇒ 21x = 180

⇒ x =  8478\frac{4}{7}%