SSC CPO 2023 PYQ — Question 134

SSC CPO - 3 Oct 2023 - Shift 1 • Quantitative Aptitude • Q134

The first shirt is sold at twice the selling price of the second shirt. The first shirt is sold at 8% profit and the second shirt is sold at a 3% loss. What is the overall percentage profit on the shirts (Rounded off to two decimal place)?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 4.07%.

Let the price of the first shirt be Rs.100

The first shirt is sold at 8% profit

So, the S.P. price of the first shirt = 108% of 100 = Rs.108

Let the price of the second shirt be Rs.100

The first shirt is sold at 3% profit

So, the S.P. price of the first shirt = 97% of 100 = Rs.97

The first shirt is sold at twice the selling price of the second shirt

We can write as follows

⇒ 100 ----------- 108

⇒ 100 ----------- 97 

Equalizing the S.P.

⇒ (97 × 2) × 100 ----------- 108 × (97 × 2)

⇒ (108) × 100 ----------- 97 × (108)

⇒ 19400 --------- 20952

⇒ 10800 --------- 10476

Total C.P. = 19400 + 10800 = 30200

Total S.P. = 20952 + 10476 = 31428

Profit = (31428 - 30200)/30200 × 100

⇒ 1228/30200 × 100 = 4.07%