Question

A shopkeeper sold two baseball bats whose cost price is ₹2000 each. If he makes a profit of 15% on one bat and a loss of 5% on the other bat, then find the overall gain or loss.

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

Cost price of each bat = ₹2000

Total cost price of two bats (C.P)
= ₹2000 + ₹2000 = ₹4000

Profit = 15 % of cost price
= $\frac{15}{100}\times 2000$
= ₹300

Loss = 5 % of cost price
= $\frac{5}{100}\times 2000$
= ₹100

Total selling price (S.P)
= (2000 + 300) + (2000 - 100)
= ₹2300 + ₹1900
= ₹4200

So, SP > CP.

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

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