Question 115

A trader buys two articles for Rs 4000 each. While selling if he gains 12.5% on one and losses 20% on the other, then what will be the overall loss percentage?

Solution

Cost price of each article = Rs. 4000

Profit % on one article = 12.5%

=> Selling price of first article = $$4000+(\frac{12.5}{100}\times4000)$$

= $$4000+500=Rs.$$ $$4500$$

Similarly, selling price of second article = $$4000-(\frac{20}{100}\times4000)$$

= $$4000-800=Rs.$$ $$3200$$

Thus, total cost price = $$4000+4000=Rs.$$ $$8000$$

Total selling price = $$4500+3200=Rs.$$ $$7700$$

$$\therefore$$ Overall loss % = $$\frac{(8000-7700)}{8000}\times100$$

= $$\frac{300}{80}=3.75\%$$

=> Ans - (B)


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