Initial investment of Ram = Rs.2500.
After 2 months he withdraw Rs.1250 from his capital.
Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months.
Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months.
And, Rakesh invested Rs.3500 for 3 months;
Their investing ratio:
Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)
= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42
Total profit for 6 months = Rs.2540
Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800
Raj's share = Rs.(2540 x 45/127) = Rs.900
Rakesh's share = Rs.(2540 x 42/127) = Rs.840
Let
P's capital = p,
Q's capital = q and
R's capital = r.
Then
6p = 8q = 12r
=> 3p = 4q = 6r
=>q = 3p/4
r = 3p/6 = p/2
P : Q : R = p : 3p/4 : p/2
= 4 : 3 : 2
R's share = 4650 * (2/9) = 150*6 = Rs. 1033.33.
Let first part is 'K' and second part is 'L'
then K + L = 50000---------eq1
Total profit = profit on x + profit on y
7000 = (K x 10 x 1)/100 + (L x 20 x 1)/100
70000 = K + 2L-----------------------------------eq2
70000 = 50000 + L
so L = 20000 then K = 50000 - 20000 = 30000
first part on 10% is = Rs.30000
a. P's investment = (80000 x 6 + 60000 x 6) = 840000 for 1 month.
b & c. Q's investment = 80% of Rs. 60000 for 8 months.
= Rs.(48000 x 8) for 1 month = 384000 for 1 month
P : Q = 840000 : 384000 = 35 : 16.
But, the total profit is not given, so data is inadequate.
Ratio in which the profit will divide ? 23:15. Let theprofit be P
Now, [(23/38) - (15/38)] x (60/100) x P = 500
P = 3958.34
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