Question

A shopkeeper sold two bats at ₹6000 each. He makes a profit of $10\%$ on one bat and a loss of $5\%$ on the other bat. Find his overall profit or loss.

• A. Loss of 300 rupees
• B. Profit of 300 rupees
• C. Profit of 600 rupees
• D. Loss of 600 rupees

Answer 1

The correct option is B

Profit of 300 rupees

Cost price of each bat = ₹6000

1st Bat

Profit = 10% of ₹ 6000

= $\frac{10}{100}\times 6000=₹600$

Selling Price = Cost price + Profit

= ₹(6000 + 600)

= ₹6600

So, he sold one bat for ₹6600.

2nd Bat

Loss = 5% of ₹6000

= $\frac{5}{100}\times 6000$

= ₹300

Selling Price = Cost price - Loss

Selling Price = ₹(6000 - 300)

= ₹5700

Total Cost Price = ₹(6000 + 6000) = ₹12000
Total Selling Price = ₹(6600 + 5700) = ₹12300
The total selling price is greater than the total cost price.
$\therefore$ overall profit = 12,300 - 12,000 = ₹300