Price of an article is marked up 50 above the cost price If the discount offered on the article is R...........

Quantitative Aptitude(IBPS RRB CL) Profit and loss

Price of an article is marked up 50% above the cost price. If the discount offered on the article is Rs. 50 and the profit earned is also Rs. 50, what is the marked price of the article?

Rs. 200

Rs. 240

Rs. 300

Rs. 450

Rs. 600

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Explanation:

Let the cost price of the article = Rs. 100x, then
Marked price of the article = 100x + 50% of 100x = Rs. 150x
Selling price of the article = Rs. (150x – 50)
According to question
Profit = SP – CP
50 = (150x – 50) – 100x
⇒ 50 = 50x – 50
⇒ 50x = 100
⇒ x = 2
Hence, the marked price of the
article = Rs. 150x = 150 × 2 = Rs. 300.