Question
The sum of the cost prices of two articles is Rs. 3200.
One article is sold at 25% profit and another at 30% loss. If the sum of their selling prices is Rs. 2890, then find the cost price of the article which is sold at a loss.Solution
ATQ, Let the cost price of the article sold at a loss be Rs. x Therefore, the cost price of the article sold at profit = Rs. (3200 – x) According to the question, 1.25 × (3200 – x) + 0.7x = 2890 Or, 1.25 × 3200 – 1.25x + 0.7x = 2890 Or, 4000 – 1.25x + 0.7x = 2890 Or, -0.55x = -1110 Or, x = 2020 Therefore, the cost price of the article sold at a loss = Rs. 2020
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