14. Mr. Shameem invested 33 % of his savingsin 20% 50 shares quoted at

1.	14. Mr. Shameem invested 33 % of his savingsin 20% 50 shares quoted at 60 and theremainder of the savings in 10% 100 sharesquoted at 110. If his total income from theseinvestments is R 9,200; find(i) his total savings(i) the number of 50 shares(iii) the number of 100 shares.
Answer» LET MR. SHAMEEM SAVINGS = X WHICH IS DIVIDED IN PART A and B. A = 1/3X and B = 2/3X INVESTMENT DONE BY PART "A" FAVE VALUE = RS. 50; MARKET VALUE = RS.60; TOTAL NUMBER OF SHARES BOUGHT = 1/180X DIVIDEND = FV x NO OF SHARES x ANNUAL DIVIDEND/100 = 50 x 1/180 x 20/100 =RS. 1/18X INVESTMENT DONE BY PART "B" FAVE VALUE = RS. 100; MARKET VALUE = RS.110; TOTAL NUMBER OF SHARES BOUGHT = 2/330X DIVIDEND = FV x NO OF SHARES x ANNUAL DIVIDEND/100 = 100 x 2/330 x 10/100 =RS. 2/33X TOTAL INCOME = 2/33 + 1/18x =69/594X 69/594X = 9200 X = 9200 x 594/69 =RS 79200 A=RS. 26400. NUMBER OF RS 50 SHARES=440 SHARES B=RS. 52800. NUMBER OF RS 100 SHARES=480 SHARES

14. Mr. Shameem invested 33 % of his savingsin 20% 50 shares quoted at 60 and theremainder of the savings in 10% 100 sharesquoted at 110. If his total income from theseinvestments is R 9,200; find(i) his total savings(i) the number of 50 shares(iii) the number of 100 shares.

Answer»

LET MR. SHAMEEM SAVINGS = X WHICH IS DIVIDED IN PART A and B.

A = 1/3X and B = 2/3X

INVESTMENT DONE BY PART "A"

FAVE VALUE = RS. 50; MARKET VALUE = RS.60; TOTAL NUMBER OF SHARES BOUGHT = 1/180X

DIVIDEND = FV x NO OF SHARES x ANNUAL DIVIDEND/100 = 50 x 1/180 x 20/100 =RS. 1/18X

INVESTMENT DONE BY PART "B"

FAVE VALUE = RS. 100; MARKET VALUE = RS.110; TOTAL NUMBER OF SHARES BOUGHT = 2/330X

DIVIDEND = FV x NO OF SHARES x ANNUAL DIVIDEND/100 = 100 x 2/330 x 10/100 =RS. 2/33X

TOTAL INCOME = 2/33 + 1/18x =69/594X

69/594X = 9200 X = 9200 x 594/69 =RS 79200

A=RS. 26400. NUMBER OF RS 50 SHARES=440 SHARES

B=RS. 52800. NUMBER OF RS 100 SHARES=480 SHARES