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A company sold a bike worth Rs. 40000 to a dealer at a profit of 5%. The dealer sold it to a customer at a profit of 12%. After few years, the customer sold the bike back to the dealer at 25% loss. If the dealer sold the old bike to a new customer at 5% profit, at what price did the new customer bought the bike?

A company sold a bike worth Rs. 40000 to a dealer at a profit of 5%. The dealer sold it to a customer at a profit of 12%. After few years, the customer sold the bike back to the dealer at 25% loss. If the dealer sold the old bike to a new customer at 5% profit, at what price did the new customer bought the bike? Correct Answer Rs. 37044

Cost price of company = Rs. 40000

Profit of company = 5% of 40000 = Rs. 2000

⇒ Cost price of dealer = Selling price of company = 40000 + 2000 = Rs. 42000

Profit of dealer = 12% of 42000 = Rs. 5040

⇒ Cost price of customer = Selling price of dealer = 42000 + 5040 = Rs. 47040

Now, the customer sold it back to dealer at a loss of 25%,

⇒ Loss of customer = 25% of 47040 = Rs. 11760

⇒ Cost price of dealer = Selling price of customer = 47040 – 11760 = Rs. 35280

When the dealer sold the old bike to new customer, profit of dealer = 5% of 35280 = Rs. 1764

∴ Price paid by new customer = 35280 + 1764 = Rs. 37044

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