Mean of m observations is n
Mean of n-m observations is m
So total = nm+ (n-m)m
Total observations = n
Mean = Total / Total observations = (2mn-m^2)/n = 2m ?m^2/n
For an income of Rs. 6, investment = Rs. 96.
For an income of Rs. 100, investment = Rs. (96 / 6) x 100 = Rs. 1600
C.P. = Rs. (96 + 1/4)
For earning Rs. 15/4, investment = Rs. 96
For earning Rs. 100, investment = Rs. 96 x (4/15) x 100 = Rs. 2560
Required answer = 96(10 - 3/4 + 1/4) = Rs. 912
Number of shares = 4455 / 8.25 = 540
Face value = Rs. (540 x 10) = Rs. 5400
Income = Rs. (6/100) x 5400 = Rs. 324
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
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