Question 53

If the cost price of 25 articles is equal to the selling price of 35 articles find the profit/loss percentage.

Solution

Given, cost price of 25 articles is equal to the selling price of 35 articles

Let the cost price of 25 articles = C

$$=$$>  Cost price of 1 article = $$\frac{C}{25}$$

Selling price of 35 articles = C

$$=$$>  Selling price of 1 article = $$\frac{C}{35}$$

Loss = Cost price - Selling price = $$\frac{C}{25}-\frac{C}{35}$$ = $$\frac{10C}{25\times35}$$ = $$\frac{2C}{175}$$

$$\therefore\ $$Loss% = $$\frac{\frac{2C}{175}}{\frac{C}{25}}\times100$$ = $$\frac{2\times25}{175}\times100$$ = $$28.57\%$$

Hence, the correct answer is Option A


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