Question

a manufacturer sells an article to a wholeseller 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

the cost price of manufacturer = RS. 14.80

Explanation:

the retailers profit = profit percent of sold amount

= 25% of 30.09

= 25/100 × 30.09

= 7.5225

here, the cost price of retailer =

sold amount- profit amount

or, CP = 30.09 - 7.5225

= 22.5675

now, profit of whole seller =

profit% of sold amount

or, 20% of SP

20/100 × 22.5675

= 4.5135

CP = SP - Profit

or, CP = 22.5675- 4.5135

CP = 18.054

now, profit of manufacturer = profit℅ of SP

= 18% of 18.054

= 18/100 × 18.054

= 3.24972

or, CP of manufacturer = SP - profit amount

= 18.054 - 3.24974

= 14.80428

Therefore, cost price of manufacturer = 14.80