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 $$RS 30.09$$ for it, find the cost of the manufacturer.

Solution

## Manufactures $$18\%$$ Wholesaler $$20\%$$ Retails $$25\%$$ bCustomerLet cost price of manufacture be $$Rs. x$$$$\therefore$$ profit $$=Rs. \dfrac {18x}{100}$$$$\therefore$$ Selling price of manufacture $$=Rs.\ \dfrac {118x}{100}=$$ Cost price of WholesalerProfit $$=Rs.\ \left (\dfrac {26}{100} \times \dfrac {118s}{100} \right)=Rs.\ \dfrac {236x}{1000}$$$$\therefore \$$ Selling price of wholesaler $$=Rs.\ \left (\dfrac {118x}{100} \times \dfrac {236x}{1000} \right)=Rs.\ \dfrac {1416x}{1000}$$$$=Cost price of retailsProfit$$Rs.\ \left (\dfrac {25}{100} \times \dfrac {1416x}{1000} \right) =Rs.\ \dfrac {354x}{1000}\therefore \ $$Selling price of retails$$=Rs.\ \left (\dfrac {1416x}{1000} +\dfrac {354x}{1000} \right)=Rs.\ \dfrac {1770x}{1000}=Rs.\ \dfrac {177x}{100}$$=Cost price of customer$$\therefore \ \dfrac {177x}{100}=\dfrac {3009}{100}$$or,$$\boxed {x=17}$$Ans: Cost price of manufacture is$$Rs. 17Mathematics

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