The cost of manufacturing an article is Rs. 550. It is sold by the
manufacturer to a dealer who sells it to a customer for Rs. 726. If the
dealer's percentage profit is only half that of the manufacturer, then the
price at which the dealer bought the article is
Answers
Step-by-step explanation:
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The dealer bought the article for Rs. 663.78.
Given,
The cost of manufacturing an article is Rs 550.
It is sold by the manufacturer to a dealer who sells it to a customer for Rs 726.
To Find,
The price at which the dealer bought the article if the dealer's percentage profit is only half that of the manufacturer.
Solution,
Let us assume that the dealer bought the article for Rs x.
Now, using the formula of profit percentage.
(selling price-cost price)/selling price*100
So,
(x-550)/x*100 = 2(726-x)/726*100
726x-399300 = 1452x-2x²
2x²-726x-399300 = 0
On, solving the equation, we get the value of x as 663.78.
Hence, the dealer bought the article for Rs. 663.78.
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