Question 79

A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at 40% discount, then what will be his new profit percent?

Solution

Let marked price of table = Rs. $$100x$$

Discount % = 20%

=> Selling price = $$100x\times\frac{(100-20)}{100}=Rs.$$ $$80x$$

Profit % = 60%

=> Cost price = $$80x\times\frac{100}{(100+60)}=Rs.$$ $$50x$$

Now, selling price if discount is 40% = $$100x\frac{(100-40)}{100}=Rs.$$ $$60x$$

$$\therefore$$ New profit % = $$\frac{(60x-50x)}{50x}\times100$$

= $$10\times2=20\%$$

=> Ans - (A)

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