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? [4 Marks]

Answer 1

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 (0.5 Mark)

Total cost price of two bats (C.P)
= ₹2000 + ₹2000 = ₹4000 (0.5 Mark)

Profit = 15 % of cost price
= $\frac{15}{100}\times 2000$
= ₹300 (0.5 Mark)

Loss = 5 % of cost price
= $\frac{5}{100}\times 2000$
= ₹100 (0.5 Mark)

Total selling price (S.P)
= (2000 + 300) + (2000 - 100)
= ₹2300 + ₹1900
= ₹4200 (1 Mark)

So, SP > CP.

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

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