Question

A manufacturer sells a vehicle to a dealer at a profit of
40%, the dealer sells it to a customer at a profit of 30%
and the customer sells it to a friend for Rs.7280 at a loss of
20%. Find the cost price of the vehicle for the manufacturer?​

Answer 1

Given : a manufacturer sells a vehicle to a dealer at a profit of 40% the dealer sells it to a customer at a profit of 30% and a customer sells it to a friend for rs 7280 at a loss of 20%

To find : the cost price of the vehicle for a manufacturer

Solution:

Cost price for the manufacturer = 1000C  Rs

profit of 40%  = (40/100) 1000C  = 400C      Rs

Selling Price for manufacturer =  1000C + 400C = 1400C   Rs

=> Cost price for Dealer  = 1400C Rs

profit of 30%  = (30/100)1400C  = 420C  Rs

Selling Price for Dealer = 1400C + 420C = 1820C  Rs

Cost price for Customer = 1820C Rs

Loss of 20 % = (20/100)  1820C  =  364C  Rs

Selling Price = 1820C - 364C   =  1456C   Rs

1456C = 7280

=> C = 5

=> 1000C  = 5000

cost price of the vehicle for a manufacturer  = Rs 5000

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