Question 11

If 60% of total articles are sold at a loss of 50% and remaining articles are sold at a profit of 50%, then what will be the overall loss percentage?

Solution

Let total articles  = 100 and price of all the articles = Rs. 100

Number of articles sold at 50% loss = $$\frac{60}{100}\times100=60$$

Selling price of these articles = $$60-(\frac{50}{100}\times60)$$

= $$60-30=Rs.$$ $$30$$

Similarly, selling price of (remaining 40) articles sold at 50% profit = $$40+(\frac{50}{100}\times40)$$

= $$40+20=Rs.$$ $$60$$

Thus, net selling price = Rs. 90

$$\therefore$$ Overall loss % = $$\frac{(100-90)}{100}\times100=10\%$$

=> Ans - (D)


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