Question
On selling an article for ₹. 123.40, the gain is 20%
more than the amount of loss incurred on selling it for Rs.108. If the article is sold for ₹.120.75, then what is the gain/loss per cent?Solution
Let the cost price be x A.T.Q., (123.4 - x) = (x - 108) × (120/100) ⇒ 1234 - 10x = 12x - 1296 ⇒ 22x = 2530 ⇒ x = 115 So, cost price = Rs. 115 Now, Selling price = 120.75 ⇒ Gain = 120.75 - 115 ⇒ Gain = 5.75 ⇒ Gain% = (5.75/115) × 100 ⇒ Gain% = 5%
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