A manufacturer sells a pair of sarees to a wholesale dealer at a profit of 15%. The wholesale dealer sells the same to a retailer at a profit of 20%. The retailer in turn sells them to customer for Rs.250. Find the cost price of the manufacturer, if the retailer makes a profit of 30%.
Rs.139.35
Rs.135.75
Rs.138.25
Rs. 137.48
Explanation:
Let the CP for the manufacturer be Rs.X.
CP for the wholesale dealer = 115% of CP for the manufacturer = 115% of X
CP for the retailer = 120% of CP for the wholesale dealer = 120% of 115% of X
CP for the customer = 130% of CP for the retailer = 130% of 120% of 115% of X
But, from the question, we know CP for the customer = 250
Therefore, 250 = 130/100 x 120/100 x 115/100 x X
250 = 897X/500
X = 250x500 / 897
X = Rs.139.35
Let the CP for the manufacturer be Rs.X.
CP for the wholesale dealer = 115% of CP for the manufacturer = 115% of X
CP for the retailer = 120% of CP for the wholesale dealer = 120% of 115% of X
CP for the customer = 130% of CP for the retailer = 130% of 120% of 115% of X
But, from the question, we know CP for the customer = 250
Therefore, 250 = 130/100 x 120/100 x 115/100 x X
250 = 897X/500
X = 250x500 / 897
X = Rs.139.35