Direction: Read the following information and answer the question giv...
Let the initial investments of Ambani, Premji, Hinduja and Mittal be 5a,9a,7a and 6a
We, know,
(5a +9a +7a+6a) = 27000
27a = 500
a = 1000
So, investments of Ambani, Premji, Hinduja and Mittal for first year Rs.5000, Rs.9000, Rs.7000 and Rs.6000 respectively.
After 1st year Premji withdrew 33(1/3)% of his initial investment.
Investment of Premji for 2nd year = (2/3) × 9000 = 6000
Let the additional investments of Hinduja, Ambani and Mittal after 1st year be 7b,12b and 15b respectively,
Amount withdrawn by Premji at the end of 1st year = 9000-6000 = 3000
Amount withdrawn by Premji at the end of 1st year : 12b = 1:2
3000 :12b = 1:2
12b = 6000
b = 500
So, additional investments of Hinduja, Ambani and Mittal after 1st year are Rs.3500, Rs.6000 and Rs.7500.
So, investments of Ambani, Premji, Hinduja and Mittal for 2nd year Rs.11000, Rs.6000, Rs.10500 and Rs.13500 respectively.
Additional investment of Ambani after 2nd year = (100/75) × 6000 = Rs.8000
Additional investment of Premji after 2nd year = 9000
Let amounts withdrawn by Hinduja and Mittal after 2nd year be 4c and 5c respectively.
4c = (100/175)×3500 = 2000
c = 500
Amounts withdrawn by Hinduja and Mittal after 2nd year are Rs.2000 and Rs.2500 respectively.
So, investments of Ambani, Premji, Hinduja and Mittal for 3rd year Rs.19000, Rs.15000, Rs.8500 and Rs.11000 respectively.
Let the additional investments of Ambani and Premji at the end of 3rd year be 3d and 2d
3d = (1/2)×6000 = 3000
d = 1000
Additional investments of Ambani and Premji at the end of 3rd year Rs.3000 and Rs.2000 respectively.
Amount withdrawn by Mittal at the end of 3rd year= 2000
Amount withdrawn by Hinduja at the end of 3rd year : Amount withdrawn by Mittal at the end of 3rd year = 1:2
Amount withdrawn by Hinduja at the end of 3rd year : 2000 = 1:2
Amount withdrawn by Hinduja at the end of 3rd year = 1000
So, investments of Ambani, Premji, Hinduja and Mittal for 4th and 5th years are Rs.22000, Rs.17000, Rs.7500 and Rs.9000 respectively.
Ratio of investments of Ambani, Premji, Hinduja and Mittal considering time as well
= (5000 +11000 +19000 + 2 × 22000): (9000 +6000 +15000 + 2 × 17000): (7000 +10500 +8500 + 2 × 7500): (6000 +13500 +11000 + 2 × 9000)
= 790: 640:
= 158: 128: 82: 97