Profit after selling a commodity for Rs. 425 is the same as loss after selling it for Rs.355. The cost of the commodity is:
Question
Profit after selling a commodity for Rs. 425 is the same as loss after selling it for Rs.355. The cost of the commodity is:
Solution
To solve this problem, we need to understand that the profit or loss is the same amount in both cases.
Let's denote the cost price of the commodity as 'x'.
According to the problem:
- When the selling price is Rs. 425, the profit is Rs. 425 - x.
- When the selling price is Rs. 355, the loss is x - Rs. 355.
Since the profit and loss are the same, we can set these two equations equal to each other:
425 - x = x - 355
To solve for 'x', we can add 'x' to both sides of the equation and subtract 355 from both sides:
425 - x + x = x - 355 + x + 355 425 + 355 = 2x 780 = 2x
Finally, divide both sides by 2 to solve for 'x':
x = 780 / 2 x = 390
So, the cost of the commodity is Rs. 390.
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