Question

A shopkeeper sold two bats whose cost price is ₹ 1000 each. He makes a profit of 25% on one bat, but a loss of 10% on the other bat. Calculate the overall loss/profit percent.

• A. 5%
• B. 7.5%
• C. 10%
• D. 12.5%

Answer 1

The correct option is B 7.5%

When cost price is the same, a profit of 25% and loss of 10% will always turn out to be an overall profit.

Now, we have to calculate the overall profit percentage:

25% profit = $\frac{25}{100}\times 1000$ = ₹ 250

10% loss = $\frac{10}{100}\times$1000 = ₹ 100

Total CP = Rs. 1000 + Rs. 1000 = ₹ 2000

Total SP = (1000 + 250) + (1000 - 100)
Total SP = ₹ 1250 + ₹ 900
Total SP = ₹ 2150 (SP > CP)

$\therefore$ Profit = ₹ 2150 - ₹ 2000 = ₹ 150

Profit Percentage = $\frac{150}{2000}\times$100 = 7.5%