Question 64

A cloth merchant sold half of his cloth at 40% profit, half of remaining at 40% loss and rest was sold at the cost price. In the total transaction his gain or loss will be

Solution

Let the cost price of the cloth = Rs. 100/100 m

Selling price of 50 m cloth = $$50+(\frac{40}{100}\times50)$$

= $$50+20=Rs.$$ $$70$$

Selling price of 25 m cloth = $$25-(\frac{40}{100}\times25)$$

= $$25-10=Rs.$$ $$15$$

Selling price of 25 m cloth = Rs. $$25$$

=> Total selling price of 100 m cloth = $$70+15+25=Rs.$$ $$110$$

$$\therefore$$ Profit % = $$\frac{(110-100)}{100}\times100=10\%$$

=> Ans - (C)

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