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%