SSC CGL 2021 PYQ — Question 55

SSC CGL - 23 Aug 2021 - Shift 3 • Quantitative Aptitude • Q55

A dealer bought some toys for Rs 1800. He sold 40% of these at a loss of 15% and 3312\frac{1}{2}% of the remaining toys at 20% profit. At what percent profit should he sell the remaining toys to earn an overall profit of 10%?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 30%

Profit = 1800 × 1/10 = 180

SP of 40% = 1800 × 2/5 × 17/20 = 612

SP of 33.33% of the remaining = 1800 × 3/5 × 1/3 × 6/5 = 432

Remaining toys = 1800 × 3/5 × 2/3 = 720

SP of remaining = 1980 - 612 - 432 = 936

Profit % = (936 - 720)/720 × 100 = 30%