Question 55

If the profit made by a merchant onselling 45 m of cloth is equal to the selling price of 5m of cloth, then his profit percentage is:

Solution

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

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

$$45(SP-CP)=5SP$$

$$45SP-45CP =5SP$$

$$40SP=45CP$$

$$\frac{SP}{CP}=\frac{45}{40}=\frac{9}{8}$$

Profit %tage$$=\frac{SP-CP}{CP}\times100 =\frac{9-8}{8}\times100 = 12.5$$

Option B is correct.

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