Question 12

If 80% of total articles are sold at a loss of 15% and remaining articles are sold at a profit of 15%, then what will be the overall loss percentage?

Solution

Let total number of articles be 100 and price of each article = Re. 1

=> Total cost price of 100 articles = Rs. 100

Number of articles sold at 15% loss = $$\frac{80}{100}\times100=80$$

Selling price of 80 articles = $$80-(\frac{15}{100}\times80)=Rs.$$ $$68$$

=> Number of articles sold at 15% profit = $$100-80=20$$

Selling price of 20 articles = $$20+(\frac{15}{100}\times20)=Rs.$$ $$23$$

Thus, total selling price of 100 articles = Rs. $$(68+23)=Rs.$$ $$91$$

$$\therefore$$ Overall loss % = $$\frac{(100-91)}{100}\times100=9\%$$

=> Ans - (C)


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