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If an article is sold at a gain of 15% instead of a loss of 5%, the man gets Rs. 40 more. Find the cost price of the article.
Rs. 200
Rs. 250
Rs. 300
Rs. 150
Rs. 200
Directly equate the sum of the profit and loss percentages to the difference in selling price when moving from loss to gain.
Gain percentage = 15%, Loss percentage = 5%, Difference in selling price = Rs. 40
extDifference=(extGain%+extLoss%)imesCP
Directly equate the sum of the profit and loss percentages to the difference in selling price when moving from loss to gain.
Students often subtract the loss percentage from the gain percentage instead of adding them when calculating the net percentage difference.
Set Up Selling Prices
Let the cost price of the article be x. The two selling prices under loss and gain conditions are SP1тАЛ=0.95x and SP2тАЛ=1.15x.
SP1тАЛ=0.95x,SP2тАЛ=1.15x
Formulate Equation from Difference
The difference between the two selling prices is given as Rs. 40. Subtract SP1тАЛ from SP2тАЛ.
1.15xтИТ0.95x=40
Calculate Cost Price
Simplify the equation and solve for x to find the cost price of the article.
0.20x=40тЯ╣x=0.2040тАЛ=200
A is correct because the cost price of the article is Rs. 200.
Understanding percentage shifts helps solve problems involving markups, discounts, and financial arithmetic efficiently.
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