Question 31

A man sells an article at 15% profit. If he had sold it for ₹ 6 more, he would have gained 18%. The man bought the article for

Solution

Let cost price of the article = $$Rs. 100x$$

Profit % = 15%

=> Selling price = $$100x \times \frac{115}{100}=Rs. 115x$$

Now, if SP = $$(115x+6)$$, then

Profit % = $$\frac{(115x+6)-100x}{100x} \times 100=18$$

=> $$\frac{15x+6}{x}=18$$

=> $$15x+6=18x$$

=> $$18x-15x=3x=6$$

=> $$x=\frac{6}{3}=2$$

$$\therefore$$ Cost price = $$100 \times 2=Rs. 200$$

=> Ans - (C)

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