During a new-year sale, a shopkeeper offers a discount scheme to his customers, ‘Buy 5 Sweaters, Get 2 Sweaters Free’.
Find the effective percentage discount given by the shopkeeper.

Question

Accepted Answer

Step 1: Understand the offer: Buy 5 sweaters and get 2 sweaters free means the customer pays for 5 sweaters but receives 7 sweaters in total.

Step 2: Calculate the effective price per sweater:
- Price paid = price of 5 sweaters
- Sweaters received = 7

Step 3: Calculate the effective discount:
- If the price of one sweater is P, total price without discount for 7 sweaters = 7P
- Price paid = 5P
- Discount = 7P - 5P = 2P

Step 4: Calculate the percentage discount:
- Percentage discount = (Discount / Original price) × 100 = (2P / 7P) × 100 = (2/7) × 100 = 28.5714%

Step 5: Convert 0.5714 to fraction:
- 0.5714 ≈ 4/7

Therefore, the effective discount is 28 4/7 %.

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Answer

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