# If 11 metres cloth is purchased for Rs. 100 and is sold at the rate of 10 metres for Rs. 110, then the profit percentage is:

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If 11 metres cloth is purchased for Rs. 100 and is sold at the rate of 10 metres for Rs. 110, then the profit percentage is:
1. 12%
2. 17%
3. 19%
4. 21%

by (110k points)
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Correct Answer - Option 4 : 21%

Formula used:

Profit = SP – CP

Profit % = Profit/CP × 100

Here, CP and SP are cost price and selling price respectively

Calculation:

CP of 11 m cloth = 100

CP of 1 m cloth = 100/11

And, SP of 10 m cloth = 110

SP of 1 m cloth = 110/10 = 11

Profit = SP of 1 m cloth – CP of 1 m cloth

⇒ 11 – 100/11

⇒ (121 – 100)/11

⇒ 21/11

Profit % = [(21/11)/(100/11)] × 100

⇒ 21%

∴ The profit percentage is 21%