Question
The cost price of article 'B' is Rs. 200 more than that
of article 'A'. Articles 'A' and 'B' are sold at profit of 25% and loss of 20% respectively, such that the selling price of articles 'A' and 'B' is in the ratio 5:4 respectively. Find the cost price of article 'A'.Solution
Let the cost price of article 'A' = Rs. Y
Then, cost price of article 'B' = Rs. (Y + 200)
Selling price of article 'A' = Y × 1.25 = Rs. 1.25Y
Selling price of article 'B' = (Y + 200) × 0.8 = Rs. 0.8Y + 160
Given, (1.25Y) : (0.8Y + 160) = 5 : 4
Or, 5Y = 4Y + 800
Or, Y = 800
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