A seller offers a combo deal: "Buy 3 shirts for the price of 2". If each shirt costs him Rs. 300, what is the effective loss percentage?
- (a)25.33%
- (b)33.33%
- (c)30%
- (d)20%
Answer
Why
Correct — B. The customer takes 3 shirts and pays for 2. Taking each shirt's price as its Rs. 300 cost:
Cost of 3 shirts = 3 × 300 = Rs. 900
Money received = 2 × 300 = Rs. 600
Loss = 900 − 600 = Rs. 300
Loss % = 300 ÷ 900 × 100 = 33.33% → option (b)
Shortcut: 1 shirt in 3 is handed over free, so the loss is 1⁄3 of cost.
Why the others are wrong
- (a)25.33% — 25.33% of the Rs. 900 cost is about Rs. 228. The seller loses a whole shirt, Rs. 300, which is 1⁄3 of the cost.
- (c)30% — 30% of Rs. 900 is Rs. 270, less than the Rs. 300 shirt he gives away. Rs. 300 lost on Rs. 900 is 33.33%.
- (d)20% — 20% would be 1 free shirt in 5, as in 'buy 4, get 1 free'. Here 1 shirt in 3 is free, so the loss is 1⁄3 of cost.
Concept
'Buy 3 for the price of 2' means 1 shirt in every 3 goes free.
Loss % is measured on cost, and the cost covers all 3 shirts handed over. So the base is 3 shirts, not the 2 paid for: 1 ÷ 3 = 33.33%.
From the buyer's side the same deal is a 33.33% discount on 3 shirts.
The stem gives the Rs. 300 cost but no selling price. The 33.33% needs each shirt to be priced at that cost, which is how the key reads it.
At a higher price the loss shrinks: at Rs. 450 a shirt, 2 paid shirts bring Rs. 900 and there is no loss at all.
Key facts
- Buy n for the price of m: the fraction given free is (n − m) ÷ n.
- Loss % = loss ÷ cost price × 100, on the cost of every unit handed over.
- Buy 3 for the price of 2 gives away 1⁄3, which is 33.33%.
Study next
Common traps
- Dividing by the 2 shirts paid for: 300 ÷ 600 = 50% measures the loss against the money received, not against cost.
- Reading 'buy 3 for the price of 2' as 'buy 3, get 1 free': that offer hands over 4 shirts for 3 and gives away 25%.
A different ratio of the same free-units idea is 25 Sep 2024, 12:30, Quant Q.18: 'Buy 5 Sweaters, Get 2 Sweaters Free' gives away 2 of 7, a 28 4⁄7% discount.
The shirt deal itself is set from the buyer's side at 24 Sep 2025, 09:00, Quant Q.16: 2 shirts at Rs. 1200 each, a third free, is Rs. 800 a shirt.
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