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If the profit made by a merchant on selling 45 m of cloth is equal to the selling price of 5 m of cloth, then his profit percentage is:
1. 9.09%
2. 12.5%
3. 11.11%
4. 10%

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Correct Answer - Option 2 : 12.5%

Given:

Let SP and CP be selling price and cost price of cloth (per meter) respectively.

If the profit made by a merchant on selling 45 m of cloth is equal to the selling price of 5m of cloth,

Calculation:

⇒ 45(SP − CP) = 5SP

⇒ 45SP − 45CP = 5SP

⇒ 40SP = 45CP

 ⇒ CP /SP = 40/ 45 = 8/9

Profit percentage = ( SP – CP )/Cp × 100 = ( 9 – 8 )/8 = 1/8 = 12.5%

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