Question
The selling prices of articles A and B are in a ratio of
4:5. If the shopkeeper made a profit of Rs. 400 on article A and a 30% profit on article B, and the difference in the cost prices of A and B is Rs. 800, what is the cost price of article B?Solution
Let the selling price of article A and B are 4x and 5x Cost price of article A = 4x-400 130% of the cost price of article B = 5x Cost price of article B = 5x/130 × 100 = 50x/13 According to question, Difference of cost price = 800 4x-400-50x/13 = 800 4x-50x/13 = 1200 2x/13 = 1200 X = 7800 Cost price of article B = 50x/13 = 50 × 7800/13 = 30,000
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