Question

A shopkeeper sold two baseball bats whose cost price is ₹ 2000 each. He makes a profit of 15% on one of the bats but a loss of 5% on the other bat. Find the profit percentage in overall transaction? (3 Marks)

Answer 1

When Cost price is the same, a profit of 15% and loss of 5% will always turn out to be an overall profit. (0.5 Mark)

Now we have to calculate the overall profit percentage :

15% profit : $\frac{15}{100}\times$2000 = ₹ 300 (0.5 Mark)

5% loss : $\frac{5}{100}\times$2000 = ₹ 100 (0.5 Mark)

Total SP = (2000 + 300) + (2000 - 100) = ₹ 2300 + ₹ 1900 = ₹ 4200 (SP > CP) (0.5 Mark)

$\therefore$ Profit = ₹ 4200 - ₹ 4000 = ₹ 200 (0.5 Mark)

Profit Percentage = $\frac{200}{4000}\times$100 = 5% (0.5 Mark)