Question

A manufacturer sells an article to a wholesaler at a profit of 18%,the wholesaler sells it to a retailer at a profit of 20%. the retailer sells it to a customer at a profit of 25%. if the customer pays₹30.09 for it, find the cost of the manufacturer

Answer 1

Let the manufacturing cost is Rs.100. Then the selling cost of the article is 100+18=118 .
The wholesaler purchase the article at Rs.118 and sell it to the retailer at a price of 118+(118×20/100) =118+(118/5)=(590+118)/5=708/5
The retailer purchase it at Rs. 708/5 and sell it to the customer at a price of 
(708/5)+(708×25/100)=(708/5)+(177/5)=(708+177)/5=885/5=177
by the given question, 177 ≡30.09
or, 100≡(30.09/177)×100=17
∴, the cost of the manufacturer is Rs. 17