Question

A shopkeeper sold two baseball bats whose cost price is ₹ 2000 each. He makes a profit of 15% on one bat and a loss of 5% on the other bat. Then he has made a ___________ overall.

• A. Profit of 10%
• B. Loss of 5%
• C. Loss of 10%
• D. Profit of 5%

Answer 1

The correct option is D

Profit of 5%

When Cost price is the same, a profit of 15% and loss of 5% will always give an overall profit.

Now we have to calculate the overall profit percentage :

15% profit = : $\frac{15}{100}\times$2000 = ₹ 300

5% loss = $\frac{5}{100}\times$2000 = ₹ 100

Total SP = (2000 + 300) + (2000 - 100) = ₹ 2300 + ₹ 1900 = ₹ 4200 (SP > CP)

Total CP = ₹ 2000 + ₹ 2000 = ₹ 4000

$\therefore$ Profit = ₹ 4200 - ₹ 4000 = ₹ 200

Profit Percentage = $\frac{200}{4000}\times$100 = 5%