SOLUTION: 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

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
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the cost of stock A
= the cost of stock B
Let = the profit from selling stock A
= the profit from selling stock B
--------------------------------------------
(a)

and

Stock A cost $1,000
Stock B cost $ 2,000
------------------------
(b)
The total selling price for A and B was both costs
plus both profits, so
(1)
The average of the profits is

and this is equal to
(2)
----------------------
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
Plug this into (1)
(1)
(1)
(1)
(1)
(1)
------------------
A cost $6,428.57
B cost $12,857.14
------------------
check:
(1)
(1)
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
close enough
--------------------------
Definitely get a 2nd opinion on this if you can

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
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

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

b) 2,700 = 1.2C, since selling price ($2,700) was 20% more than the combined cost
C, or cost of both =
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

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.
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