Question 1119629
Hi
stock B cost twice as much as stock A , but the profit on B was only 3/4 as much as on A when both were sold.

what was the cost of each stock if;
a)the total cost was $3000.00
b)the total selling price $2,700 resulted in an average 20% profit on the cost.

thanks
<pre>a)  Let cost of stock A be A
    Then cost of stock B = 2A
    We then get: A + 2A = 3,000____3A = 3,000
    A, or {{{highlight_green(matrix(1,6, Cost, of, stock, A, "=", "$1,000"))}}}
    {{{highlight_green(matrix(1,8, Cost, of, stock, B, "=", 2("1,000"), "=", "$2,000"))}}}

b)  2,700 = 1.2C, since selling price ($2,700) was 20% more than the combined cost 
    C, or cost of both = {{{matrix(1,3, "2,700"/1.2, "=", "$2,250"))}}}
    Let cost of stock A be A
    Then cost of stock B = 2A
    We then get: A + 2A = 2,250____3A = 2,250
    A, or {{{highlight_green(matrix(1,8, Cost, of, stock, A, "=", "$2,250"/3, "=", "$750"))}}}
    {{{highlight_green(matrix(1,8, Cost, of, stock, B, "=", 2(750), "=", "$1,500"))}}}
I don't see any use for this statement: "but the profit on B was only 3/4 as much as on A when both were sold," unless I misunderstood or misread the problem.