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A manufacturer sold an article to the wholesaler at a profit of 18%, the wholesaler then sold it to Retailer at a profit of 20% and the retailer then sold it to the customer at a profit of 25%. If the customer pays Rs.15045, then find the original cost price of the article.

A manufacturer sold an article to the wholesaler at a profit of 18%, the wholesaler then sold it to Retailer at a profit of 20% and the retailer then sold it to the customer at a profit of 25%. If the customer pays Rs.15045, then find the original cost price of the article. Correct Answer Rs. 8500

Let the original cost price of the article = 100x

The manufacturer sold the article at a profit of 18%.

⇒ The cost price of the wholesaler = 100x × 118/100 = 118x

The wholesaler sold the article to the retailer at a profit of 20%.

⇒ The cost price of the retailer = 118x × 120/100 = 141.6x

The retailer sold the article to the customer at a profit of 25%.

⇒ The cost price of the customer = 141.6x × 125/100 = 177x

According to the question:

177x = 15045

⇒ x = 85

∴ The original cost price of the article = 100x = 100 × 85 = Rs.8500

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