Question
The average cost price of two items is Rs. 750. The
first item is sold at a 15% profit, and the second item is sold at a 20% loss. Given that the combined selling price of both items is Rs. 1480, what is the difference in their individual cost prices?Solution
Let cost piece of on article is Rs. x Cost price of second article = Rs. ‘1500 – x’ According to question; 1.15 × x + 0.80 × (1500 – x) = 1480 Or, 1.15x – 0.8x = 1480 – 1200 Or, 0.35x = 280 Or, x = 800 Cost price of another article = 1500 – 800 = Rs. 700 Desired difference = 800 – 700 = Rs. 100 Hence, option b.
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