Read the following information carefully and answer the questions bas...
For age of the daughters, we have information:
- Priyanka is as many years younger to Rakhi as Rakhi is younger to Vibha. Thus, Vibha is eldest while Priyanka is youngest.
- Vibha and Rakhi get3 times of the total money invested while Priyanka gets 3.5 times of the money invested. Thus, for Vibha and Rakhi the man must have invested for 10-15 years while for Priyanka the man must have invested for more than 15 years. Thus, maximum possible age for Vibha is 8 years and minimum possible age for Priyanka=2
- Rakhi’s age is less than 5 years while Priyanka’s age was not 1 year.
If Vibha = 8, Rakhi = 4 and Priyanka=0, not possible
Vibha =7, Rakhi = 4 and Priyanka = 1, not possible
Vibha = 6, Rakhi = 4 and Priyanka = 2. Possible case
Vibha = 5, Rakhi = 4, Priyanka = 3, not possible.
Thus, at the time of investing, Vibha’s age = 6 yrs, Rakhi’s age = 4 years and Priyanka’s age = 2 years
⇒ A = 2
The man planned to invest in a ratio 25:32:20 for his daughters Rakhi, Vibha and Priyanka respectively. Sum of the amount invested for Rakhi and Vibha is Rs 14250 per month.
Let the amount invested per month for Rakhi, Vibha and Priyanka be 25x, 32x and 20x respectively
⇒ 57x = 14250
⇒ x = 250
Investment for Rakhi = Rs 6250 per month (for 14 years)
Investment for Vibha = Rs 8000 per month (for 12 years)
Investment for Priyanka = Rs 5000 per month (for 16 years)
Total investment for Rakhi = Rs 6250*12*14 = Rs 1050000
Total investment for Vibha = Rs 8000*12*12 = Rs 1152000
Total investment for Priyanka = Rs 5000*12*16 = Rs 960000
Maturity Value for Rakhi = Rs 3150000
Maturity Value for Vibha = Rs 3456000
Maturity Value for Priyanka = Rs 3360000
⇒ B = Difference in maturity value for Rakhi and Priyanka = Rs 2,10,000
D = Difference in maturity value for Vibha and Priyanka = Rs 96000
Vibha’s maturity value is 40% of cost of house
⇒ C = Cost of house = Rs 3456000/0.4 = Rs 86,40,000
Total investment of the man for all his daughters = Rs 31,62,000
At 10% SI for 10 years, the money will get doubled at the end of 10th year
⇒ E = 2*3162000 = Rs 63,24,000
Total money invested = 3B + 4D =3*210000+4*96000 = Rs 10,14,000
The friends invested money in ratio (A+3):(A+2):(2A+3) i.e.,5:4:7
Thus, share of 3rd friend in the invested capital = 7/16*1014000 = Rs 4,43,625
Total profit at end of the year = Rs 64576
Share of 3rd friend in total profit = 7/16*64576 = Rs 28252
⇒ Total capital with the 3rd friend at the end of 3rd year = 443625+28252 = Rs 471877
He invested the money at 10% returns compounded annually.
Thus, capital at the end of 3rd year = (1+10/100)2*471877 = Rs 570971