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A Kanpur shoe shop buys sandals at ₹750 a pair and puts them on the shelf marked ₹900. By what percent has it marked the sandals up above cost?

Class 8Comparing QuantitiesComparing Quantities
  • A16.7%
  • B83.3%
  • C20%
  • D120%

Step-by-Step Solution

Mark-up = 900 − 750 = 150, taken on the COST price: %. Trap: dividing by the marked price gives 16.7% — that is the base used for a DISCOUNT, not for a mark-up. 120% is the ratio , not the increase.
Answer: C) 20%

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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