12. A cloth dealer professes to sell poplin at cost price; but uses a metre having a length of 92 cm only and charges for the metre. Find his gain percent.
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12. A cloth dealer professes to sell poplin at cost price; but uses a metre having a length of 92 cm only and charges for the metre. Find his gain percent.
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Answer:
Step-by-step explanation:
let cost of 100 cm=X
cost of 90cm=90X/100
SP of 90cm =X
so profit=sp-cp=X-90X/100=10X/100
profit \: percent = \frac{profit \times 100}{cp} \\ = \frac{10x}{100} \times 100 \div \frac{90x}{100} \\ = \frac{10x}{100} \times 100 \times \frac{100}{90x} \\ = \frac{100}{9} = 11.11\%
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