Question : A manufacturer sells an article to a wholesale dealer at a profit of 10%. The wholesale dealer sells it to a shopkeeper at 20% profit. The shopkeeper sells it to a customer for Rs. 56,100 at a loss of 15%. Then the cost price of the article to the manufacturer is:
Option 1: Rs. 25,000
Option 2: Rs. 10,000
Option 3: Rs. 50,000
Option 4: Rs. 55,000
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Correct Answer: Rs. 50,000
Solution :
Let the cost price of the article be CP.
The manufacturer sells the article to the wholesale dealer at a profit of 10%.
The selling price for the manufacturer = 1.1 × CP
The wholesale dealer sells the article to the shopkeeper at a profit of 20%.
The selling price for the wholesale dealer = 1.2 × 1.1 × CP = 1.32 × CP
The shopkeeper sells the article to the customer at a loss of 15%.
The selling price for the shopkeeper = 0.85 × 1.32 × CP = 1.122 × CP
Given that the selling price for the shopkeeper = Rs. 56,100
⇒ 1.122 × CP = 56,100
⇒ CP = $\frac{56100}{1.122}$ = 50,000
Hence, the correct answer is Rs. 50,000.
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