Question 68

A trader marks his goods in such a way that even after allowing 15% discount on marked price he still gains 27.5%. If the cost price of the goods is ₹ 200, then its marked price is:

Solution

Given, cost price of the goods = ₹ 200

Gain% = 27.5%

$$\Rightarrow$$ Selling price of the goods = $$\frac{127.5}{100}\times200=255$$

Let the marked price of the goods = M

Discount = 15%

$$\Rightarrow$$ Selling price of the goods = $$\frac{85}{100}$$M

$$\Rightarrow$$ $$\frac{85}{100}$$M = 255

$$\Rightarrow$$ M = 300

$$\therefore\ $$Marked price of the goods = ₹ 300

Hence, the correct answer is Option A

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