at a certain supplier , a machine of type a costs $ 20000 and a machine of type b costs $ 60000 . each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time . if the finance charges are equal to 40 percent of the remainder of the cost , how much less would 2 machines of type a cost than 1 machine of type b under this arrangement ?
total cost of 2 machines of type a = 20 % of ( cost of 2 machine a ) + remainder + 40 % remainder = 20 % of 40000 + ( 40000 - 20 % of 40000 ) + 40 % of ( 40000 - 20 % of 40000 ) = 52800 total cost of 1 machine of type b = 20 % of ( cost of 1 machine b ) + remainder + 40 % remainder = 20 % of 60000 + ( 60000 - 20 % of 60000 ) + 40 % of ( 60000 - 20 % of 60000 ) = 79200 diff = 79200 - 52800 = 26400 hence , e .
multiply(floor(multiply(divide(subtract(add(multiply(divide(20, const_100), 60000), multiply(add(divide(40, const_100), 1), subtract(60000, multiply(divide(20, const_100), 60000)))), add(multiply(multiply(2, 20000), divide(20, const_100)), multiply(subtract(multiply(2, 20000), multiply(multiply(2, 20000), divide(20, const_100))), add(divide(40, const_100), 1)))), 60000), const_10)), const_3)