Question

a cloth merchant sells one metre cloth at a profit of 18% on the cost price the percentage of profit with respective to the selling price is​

Answer 1

Answer:

Since 30m of cloth is sold, it must be compared with cost price of 30m to determine profit or loss.

=> Profit = 30SP - 30CP

But profit is equivalent to SP of 6m of cloth.

=> 30SP - 30CP = 6SP

24SP = 30CP

SP/CP = 30/24

Profit = SP - CP = 30 - 24 = 6

Profit percentage = Profit/CP x 100

= 6/24 x 100 = 25%

Answer 2

Answer:

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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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