Multiple choice

Quantity I: Overall profit percentage if the cost prices of two shirts are equal. One shirt is sold for 20% profit and the other is sold for 10% loss. Quantity II: Profit % made in selling each meter if the profit made in selling 20 m of a cloth equals the cost price of 5 m of that cloth

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or No relation
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: Selling two items with equal cost at 20% profit and 10% loss results in a net profit of (20-10)/2 = 5%. Quantity II: Profit on 20m equals cost of 5m means 20(SP - CP) = 5CP, so 20SP = 25CP, implying SP = 1.25CP, which is a 25% profit. Since 5% < 25%, Quantity I < Quantity II.

AI explanation

For Quantity I, when equal cost prices are involved, the overall profit percentage is the simple average of 20 and -10, which is 5%. For Quantity II, using the profit percentage formula where profit equals the cost price of 5 meters out of 20 meters sold, the profit percentage is (5 divided by 20) multiplied by 100, giving 25%. Comparing the two values, 5% is less than 25%, meaning Quantity I < Quantity II.

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