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

HEY DEAR ...

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

HOPE , IT HELPS ...