You invest $ 5000 in two stocks . In one year , the value of stock A increases by 5.2 % and the value of stock B increases by 12.8 % The total value of the stocks is now $ 5412 . How much did you originally invest in each stock ? Stock A=
Stock B=

3000 invested in stock A

2000 invested in stock B

Explanation:

Given

--- rate of stock A

--- rate of stock B

--- Amount invested

---- Value of stock

Required

Determine the amount invested in each

Let

Amount invested in A

Amount invested in B

So:

Make x the subject

The gain on stock A is:

The gain on stock B is:

So, we have:

----- i.e. total gain on both stocks

Collect like terms

Solve for y

To solve for x, we have:

your answer would be (b)