Select the correct answerTwo articles are sold for rupees 962 each. On one, the seller gains 30% and on the other,he loses 26%. What is his overall gain or loss percentage, nearest to one decimal place?Options5.7% loss6.0% gain5.7% gain6.0% loss
Question
Select the correct answerTwo articles are sold for rupees 962 each. On one, the seller gains 30% and on the other,he loses 26%. What is his overall gain or loss percentage, nearest to one decimal place?Options5.7% loss6.0% gain5.7% gain6.0% loss
Solution
To solve this problem, we first need to calculate the cost price of each article.
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For the first article, the seller gains 30%. This means the selling price is 130% of the cost price. So, we can set up the equation 1.3 * cost1 = 962 to find the cost price of the first article (cost1). Solving this equation gives us cost1 = 962 / 1.3 = 740 rupees.
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For the second article, the seller loses 26%. This means the selling price is 74% of the cost price. So, we can set up the equation 0.74 * cost2 = 962 to find the cost price of the second article (cost2). Solving this equation gives us cost2 = 962 / 0.74 = 1300 rupees.
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The total cost price of the two articles is cost1 + cost2 = 740 + 1300 = 2040 rupees.
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The total selling price of the two articles is 2 * 962 = 1924 rupees.
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The overall loss is the total cost price minus the total selling price, which is 2040 - 1924 = 116 rupees.
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The overall loss percentage is the overall loss divided by the total cost price, times 100%, which is (116 / 2040) * 100% = 5.7%.
So, the correct answer is "5.7% loss".
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