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A sold an article at Rs. 6000 and earns a certain profit and if he sold an article at Rs. 3500 and gets a loss. The loss incurred by A is 50% more than the profit earned. The profit percentage earned by A when he sold an article at Rs. 7000 is – 

A sold an article at Rs. 6000 and earns a certain profit and if he sold an article at Rs. 3500 and gets a loss. The loss incurred by A is 50% more than the profit earned. The profit percentage earned by A when he sold an article at Rs. 7000 is –  Correct Answer 40%

Given,

Let the cost price of an article be Rs. A.

Selling price = Rs. 6000

Profit = 6000 – A

Selling price = Rs.3500

Loss = A – 3500

Given,

⇒ (A – 3500) = (6000 – A) + (6000 – A) × 50/100

⇒ 2A – 7000 = 12000 – 2A + 6000 – A

⇒ A = 5000

Cost price of an article is Rs. 5000

Profit percentage when selling price is Rs. 7000

⇒ (7000 – 5000)/5000 × 100

⇒ 40%

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