A man sold an article for Rs 6800 and incurred a loss. Had he sold the article for Rs7850, his gain would have been equal to half of the amount of loss that he incurred. At what price should he sell the article to have 20% profit?Options4,7509,0008,2507,500

Let's solve this step by step:

Step 1: Let's assume the cost price of the article is 'x'. The man sold the article for Rs 6800 and incurred a loss. So, the loss is 'x - 6800'.

Step 2: It's given that if he sold the article for Rs 7850, his gain would have been half of the loss he incurred. So, the gain is '7850 - x'.

Step 3: According to the problem, the gain is half of the loss. So, we can equate the two and solve for 'x': 7850 - x = 1/2 * (x - 6800) This simplifies to: 7850 - x = 1/2x - 3400 Multiplying through by 2 to get rid of the fraction gives: 15700 - 2x = x - 6800 Adding 2x to both sides gives: 15700 = 3x - 6800 Adding 6800 to both sides gives: 22500 = 3x Dividing by 3 gives: x = 7500

Step 4: Now, to find the price he should sell the article for to have a 20% profit, we calculate 20% of the cost price and add it to the cost price: 20% of 7500 = 0.20 * 7500 = 1500 So, the selling price for a 20% profit should be 7500 + 1500 = Rs 9000.

So, the answer is Rs 9000.