a)Let the total amount invested in stock X be "A" and
so amount invested in stock Y= Total investment- amount invested in X
= 15000-A
Portfolio return = [Return x* Amount invested in X/total amount invested ] +[Return Y* Amount invested in Y/total amount invested ]
11.8 = [14*A/15000] +[7*(15000-A)/15000]
11.8 = .00093 A + [(105000-7A)/15000]
11.8 = .00093 A + 7- .00047 A
11.8-7 = .00046 A
4.8/.00046 = A
A= 10435
SO AMOUNT INVESTED IN X= 10435
B)Amount invested in Y= 15000-10435
= 4565
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