Question : A manufacturer sells an item to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells it to a customer for Rs 15045 there earning a profit of 25%. The cost price of the manufacturer is:
Option 1: Rs. 8000
Option 2: Rs. 8500
Option 3: Rs. 9000
Option 4: Rs. 10000
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Correct Answer: Rs. 8500
Solution :
Let the cost price of the manufacturer be Rs. $x$.
Hence, profit of manufacturer = 18% of his cost price = Rs.$\frac{18x}{100}$
The selling price of manufacturer = cost price of wholesaler = Rs. $\frac{118x}{100}$
Profit of wholesaler = 20% of his cost price = $\frac{20}{100}\times \frac{118x}{100}=\frac{236x}{1000}$
The selling price of the wholesaler = Cost price of the retailer
= $\frac{118x}{100}+\frac{236x}{1000}=\frac{1416x}{1000}$
Profit after 25% profit of retailer = $\frac{25}{100}\times \frac{1416x}{1000}=\frac{354x}{1000}$
Selling price of retailer = Cost price of customer = $\frac{1416x}{1000}+\frac{354x}{1000}=\frac{177x}{100}$
⇒ $15045=\frac{177x}{100}$
⇒ $x=8500$
Hence, the correct answer is Rs. 8500.
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