Let investment in each case be Rs. (100 x 110)
Gross income from 4% stock = Rs. (4/100) x (100 x 110) = Rs. 440
Net income from the stock = Rs. (440 - 22) = Rs. 418
Net income from 41/2% stock = Rs. (9 x 100 x 110) / (2 x 110) = Rs. 450
? Better stock is 41/2% at 110.
When investment is Rs. 388, income = Rs. 22
When investment is Rs. 97, income = Rs. (22 / 388) x 97 = Rs. 5.50
? Dividend on Rs. 100 stock = 51/2%
Dividend on Rs. 20 = Rs. 9 / (100 x 20) = Rs. 9/5
Rs. 12 is an income on Rs. 100
? Rs. 9/5 is an income on Rs. (100/12) x (9/5) = Rs. 15
Face value = Rs. (50 x 20) = Rs. 1000
Dividend = Rs. (1000 x 19) / (4 x 100) = Rs. 95/2
Investment = Rs. (45 x 20) = Rs. 900
Rate = Rs. (95 x 100) / (2 x 900) = 5.28%
Number of shares = 4455 / 8.25 = 540
Face value = Rs. (540 x 10) = Rs. 5400
Income = Rs. (6/100) x 5400 = Rs. 324
Let the investment in 4% stock be Rs. N.
Then, investment in 5% stock = Rs. (2780 - N)
Income from 4% stock = Rs. (4/75) x N
Income from 5% stock = Rs. [(5/80 x (2780 - N)]
? 4N / 75 = (2780 - N) / 16
or N = 1500
So, investment in 5% stock = Rs. (2780 - 1500) = Rs. 1280
For an income of Re. 1 in 3% stock, investment = Rs. (96 / 3) = Rs. 32
For an income of Re. 1. in 4% stock investment = Rs. (120 / 4) = Rs. 30
? Ratio of investment = 32 : 30 = 16 : 15
Let investment in each case be Rs. (143 x 93)
Income from 5% stock = Rs. (5 / 143) x 143 x 93 = Rs. 465
Income from 31/2% stock = Rs. (3.5 / 93) x 143 x 93 = Rs. 500.50
? 31/2% stock at 93 is better.
For an income of Rs. 5, investment = Rs. 100
For an income of Rs. 6, investment = Rs. (100/5) x 6 = Rs. 120
For an income of Rs. 4, investment = Rs. 96
For an income of Rs. 5, investment = Rs. (96/4) x 5 = Rs. 120
Required answer = 12600 x (301 / 2) x (1 / 100) = Rs. 18963
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