a dishonest person wants to make a profit on the selling of milk. he would like to mix water ( costing nothing ) with milk costing 33 $ per litre so as to make a profit of 50 % on cost when he sells the resulting milk and water mixture for 36 $. in what ratio should he mix the water and milk?
Choose the correct answer:
A) 1 : 20	B) 1 : 10	C) 3 : 8	D) 3 : 4	E) 3 : 2
<gadget id="calculator">100 + 50</gadget>
<output>150</output>

<gadget id="calculator">150 / 100</gadget>
<output>3/2 = around 1.5</output>

<gadget id="calculator">36 / (3/2)</gadget>
<output>24</output>

<gadget id="calculator">33 - 24</gadget>
<output>9</output>

<gadget id="calculator">9 / 24</gadget>
<output>3/8 = around 0.375</output>

<result>C</result>
a dishonest person wants to make a profit on the selling of milk. he would like to mix water ( costing nothing ) with milk costing 33 $ per litre so as to make a profit of 50 % on cost when he sells the resulting milk and water mixture for 36 $. in what ratio should he mix the water and milk?
divide(subtract(33, divide(36, divide(add(const_100, 50), const_100))), divide(36, divide(add(const_100, 50), const_100)))
"first of all , let ' s consider 1 liter of the stuff he is going to sell - - - naive customers think it ' s pure milk , but we know it ' s some milk - water mixture . he is going to sell this liter of milk - water for $ 36 . this $ 36 should be a 50 % increase over cost . here , we need to think about percentage increases as multipliers . using multipliers ( cost ) * 1.50 = $ 36 cost = 36 / 1.5 = 360 / 12 = $ 24 if he wants a 20 % increase over cost on the sale of one liter of his milk - water , the cost has to be $ 24 . well , a liter of milk costs $ 33 , so if he is going to use just $ 30 of milk in his mixture , that ' s 24 / 33 = 8 / 11 of a liter . if milk is 8 / 11 of the liter , then water is 3 / 11 of the liter , and the ratio of water to milk is 3 : 8 . answer choice ( c )"