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A mixer is marked ₹3000 in two shops. Shop P offers a flat 15% off. Shop Q offers 10% off and then ₹120 cashback. Which shop is cheaper, and by how much?

Class 8Comparing QuantitiesComparing Quantities
  • AShop Q, by ₹30
  • BShop P, by ₹150
  • CBoth cost the same
  • DShop P, by ₹30

Step-by-Step Solution

Shop P: . Shop Q: , then 2700 − 120 = 2580. Shop P is cheaper by 2580 − 2550 = ₹30. Trap: comparing only the two discount amounts (₹450 against ₹300) and forgetting the cashback gives the ₹150 answer.
Answer: D) Shop P, by ₹30

Key idea: Discount

A discount is a reduction off the **marked price** (MP), not the cost price. The selling price (SP) is what the customer actually pays.

**SP = MP − Discount**
**Discount % = (Discount / MP) × 100**

Example: shirt MP ₹800, discount 25%. Discount amount = 25% of 800 = 200. SP = 800 − 200 = 600.

Note: discount % is calculated on MP. Profit/loss % (Class 7) is on CP. Don't mix them up.

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