SSC MTS 2022 PYQ — Question 74

SSC MTS - 21 July 2022 - Shift 2 • Quantitative Aptitude • Q74

The cost price of two fans is the same. One fan is sold at a loss of 20% and the other fan is sold at loss of 60%. What will be the overall loss percentage?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 40%

Given:

The cost price of two fans is the same.

One fan is sold at a loss of 20% and the other fan is sold at loss of 60%

Let the cost price of the fans be 100x

Cost Price = Selling Price × 100/(100 - loss %)

Selling price after 20% loss = 80% of 100x = 80x

Selling price after 60% loss = 40% of 100x = 40x

Total cost price = 100x + 100x = 200x

Total selling price = 80x + 40x = 120x

Loss = CP - SP = 200x - 120x = 80x

Loss% = (80x/200x) × 100 = 40%