Question

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

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

Answer 1

The correct option is A

Profit of 5%

When the Cost price is same, a profit of 15% and loss of 5% will always turn out to be a profit overall.

Now we have to calculate the overall profit percentage :

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

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

Overall SP of both bats = (2000 + 300) + (2000 - 100) = ₹ 2300 + ₹ 1900 = ₹ 4200 (SP > CP)

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

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