Aptitude - Partnership

Let the total profit be Rs. 100.

After paying to charity, A's share = Rs.		95 x	3		= Rs. 57.
			5

If A's share is Rs. 57, total profit = Rs. 100.

If A's share Rs. 855, total profit =		100	x 855		= 1500.
		57

For managing, A received = 5% of Rs. 7400 = Rs. 370.

Balance = Rs. (7400 - 370) = Rs. 7030.

Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)

   = 39000 : 42000 : 30000

   = 13 : 14 : 10

B's share = Rs.		7030 x	14		= Rs. 2660.
			37

Ratio of initial investments =		7	:	4	:	6		= 105 : 40 : 36.
		2		3		5

Let the initial investments be 105x, 40x and 36x.

A : B : C =		105x x 4 +	150	x 105x x 8		: (40x x 12) : (36x x 12)
			100

   = 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = Rs.		21600 x	10		= Rs. 4000.
			54

Let C = x.

Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.

So, x + x + 5000 + x + 9000 = 50000

3x = 36000

x = 12000

A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.

A's share = Rs.		35000 x	21		= Rs. 14,700.
			50

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.

Then, 14x : 8y : 7z = 5 : 7 : 8.

Now,	14x	=	5	98x = 40y       y =	49	x
	8y		7		20

And,	14x	=	5	112x = 35z       z =	112	x =	16	x.
	7z		8		35		5

x : y : z = x :	49	x	:	16	x	= 20 : 49 : 64.
	20			5