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Assertion (A): If an item bought for ₹200 is sold for ₹250, the profit % is 25%. Reason (R): Profit % = (Profit / CP) × 100. Which is correct?

Class 7Comparing QuantitiesComparing Quantities
  • ABoth A and R are true and R correctly explains A
  • BBoth A and R are true but R does not explain A
  • CA is true but R is false
  • DA is false but R is true

Step-by-Step Solution

Profit = 250 − 200 = 50. Profit % = , so A is true. R states the correct formula and explains the calculation, so R correctly explains A.
Answer: A) Both A and R are true and R correctly explains A

Key idea: Profit and loss

**Profit** = SP − CP, when SP > CP. **Loss** = CP − SP, when CP > SP. Always positive — never write a negative profit; just call it a loss.

**Profit % .** **Loss % .** Both are calculated **on the cost price**, not the selling price.

Example: bought a pen for ₹40, sold for ₹50. Profit = ₹10. Profit % = .

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