Amitabh, Brijesh and Kamlesh enter a partnership with shares in the ratio of 7/2 : 4/3 : 6/5. After 4 months, Amitabh increases his share by 50% If the total profit at the end of the year be ? 21600, what will be the share of Brijesh in the profit?

Let investment of Amit = 12k
and investment of Brijesh = 11k
Let Brijesh invested the money for N months.

Then,
Amit's investment : Brijesh's investment
= (12k x 11) : (11k x N) = 132k : 11kN = 12 : N
? 12/N = 4/1 [ ? ratio of profit is 4 : 1]
? 4N = 12
? N = 12/4 = 3 months
Clearly, Brijesh invested money for 3 months.

Let the annual profit be ? N Then, ? (N - 120) will be distributed between A and B as their shares of profit.
Ratio of profits = Ratio of investments So, A : B = 3000 : 4000 = 3 : 4
? A's share = 120 + (N - 120) x 3/7
? 120 + (N - 120) x 3/7 = 390
? (N - 120) x 3/7 = 390 - 120 = 270
? N - 120 = (270 x 7)/3 = 630
? B's share = 4/7 x (N - 120)
= (4/7) x 630 = ? 360

Q gets 2/7 of the profit.
? P gets(1 - 2/7) = 5/7 of the profit
? P : Q = 5/7 : 2/7 = 5 : 2
Let the contribution of Q be a.
Then, 8000 x 8 : a x 4 = 5 : 2
? 64000/4a = 5/2
? 20a = 128000
? a = 128000/20 = ? 6400

Ratio of equivalent capitals of A, B and C = (35000 x 12) : (20000 x 5) : (15000 x 7)
= 35 x 12 : 20 x 5 : 15 x 7
= 84 : 20 : 21
Let A's share = 84N
B's share = 20N
C's share = 21N
According to the question,
84N + 20N + 21N = 84125
? 125N = 84125
? N = 84125/125 = 673
? B's share = 20N = (20 x 673) = ? 13460

A's share : B's share : C's share
= (20000 x 12) : (25000 x 4) : (15000 x 8)
= 240000 : 100000 : 120000
= 24 : 10 : 12 = 12 : 5 : 6
Let A's share = 12N
B's share = 5N
C's share = 6N

According to the question.
12N + 5N + 6N = 23000
? 23N = 23000
? N = 23000/23 = 1000
? C's share = 6N = 6 x 1000 = ? 6000

Let investment of B be a for b months.
Then, A's investment = 3a for 2b months
? A : B = (3a x 2b) : (a x b) = 6ab : ab = 6 : 1

Let the total profit = m.
Then. m x 1/7 = 6000
? m = 6000 x 7 = ? 42000
? 20% of 42000 = ? 8400

A's share : B's share : C's share
= [16000 x 3 + (16000 - 5000) x 9] : [12000 x 3 + (12000 + 5000) x 9] : (21000 x 6)
= (16 x 3 + 11 x 9) : (12 x 3 + 17 x 9) : (21 x 6)
= 147 : 189 : 126
= 7 : 9 : 6

Hence, B's share exceeds C's share by = {13200/(7 + 9 + 6)} x (9 - 6)
= (13200 x 3)/22
= ? 1800

The difference counts only due to 40% of the profit which was distributed according to their investments.

Let total profit = R.
40% of R is distributed in the ratio, 125000 : 85000 = 25 : 17

Share of 1st partner = 40% of R x25/(25 + 17)
= 40% of 25R/42 = (40/100) x (25R/42) = 5R/21

Share of 2nd partner
= 40% of 17R/42 = (40/100) x (17R/42) = 17R/105

Now according to the question
5R/21 - 17R/105 = 600
? R(25 - 17)/105 = 600
? R = (600 x 105)/8
= ? 7875

Let us assume the ratio factor is x.
According to question,
Quantity of milk = 4x liters and Quantity of Water = x liters.
According to question,
4x + x = 45
? 5x = 45
? x = 9
Quantity of milk = 4x = 9 x 4 = 36 liters
Quantity of water = x = 9 liters
Let y liters of water be added to make the ratio 3:2
Then,
36/(9 + y) = 3/2
? 72 = 27 + 3y
? y = 15 liters
If you add 15 liters of water, the ratio will become 3:2.

Let us assume the number of boys = B and number of girls = G.
According to question,
B + G = 30
Lets us assume total weight of boys = W1 and total weight of girls = W2
average weight of boys = total weight of boys/number of boys
total weight of boys/number of boys = 20
W1/B = 20
W1 = 20B

average weight of girls = total weight of girls/number of girls
25 = W2/G
W2 = 25G

Data is not sufficient to solve the equation.
since we do not know either the average weight of the whole class or the ratio of no. of boys to girls.