Discussion

Marked price of an article is Rs. 360 more than its cost price. If profit earned is equal to the discount given then find the profit earned ?

Answer: D

The profit earned is Rs. 180.

Let the cost price be C, so the marked price is C + 360. Profit is S - C and discount is (C + 360) - S, and they are equal.

\[ \begin{aligned} S - C &= C + 360 - S \\ 2S &= 2C + 360 \\ S - C &= 180 \end{aligned} \]

The 360 markup is split equally between discount and profit, Rs. 180 each, whatever the cost price.

Check with a cost of Rs. 1000: marked price 1360, selling price 1180, discount 180 and profit 180.

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