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If the cost price of 5 articles is equal to the selling price of 8 articles, then find the profit or loss percentage.1. 25.5% loss2. 35% profit3. 37.5% loss4. 40% profit |
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Answer» Correct Answer - Option 3 : 37.5% loss Given: 5CP = 8SP Formula used: Loss% = (CP – SP)/CP × 100 Calculation: 5CP = 8SP ⇒ CP/SP = 8/5 ⇒ SP/CP = 5/8 ⇒ 1 – SP/CP = 1 – 5/8 [Subtract 1 both sides] ⇒ (CP – SP)/CP = (8 – 5)/8 ⇒ (CP – SP)/CP × 100 = 3/8 × 100 ⇒ Loss% = 37.5% [Loss% = (CP – SP)/CP × 100] ∴ The loss% is 37.5%. |
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