MCQ: Partnership - 2 - SSC CGL MCQ

10% of interest on the capitals of A, B & C respectively = 2000, 2500, & 4000

Now the total of interest = 2000 + 2500 + 4000 = 8500
Remaining of the profit after interest on capitals = 20500 – 8500 = 12000

But the remaining of the profit has to be divided equally
So C’s share in it = 12000/3 = 4000

Therefore C’s total share of profit = His interest on capital + his share of profit after interest on capital
= 4000 + 4000 = 8000 (option ‘C’)

Ratio of initial investments = 7/2 : 4/3 : 6/5 = 105 : 40 : 36
Let their initial investments be 1050, 400 and 360
A’s investment after increase of 50% = 1050 + 1050/2 = 1575

Their one month equivalent investments
A = 1050*4 + 1575*8 = 16800
B = 400*12 = 4800
C = 360*12 = 4320
Therefore ratio of their investments = 16800 : 4800 : 4320 = 35 : 10 : 9
Hence, B’s share in the profit = Rs. 21600 x 10/54 = Rs. 4000 (option ‘D’)

Simran invested Rs 50000 for 36 months and Nanda invest Rs 80000 for 30 months
Jitesh’s one month equivalent investment = 50000*36
Rahul’s one month equivalent investment = 80000*30
Thus, ratio of their investments =  = 50000*36 : 80000*30 = 3 : 4
Therefore Jitesh’s share in the profit = 24500 x 3/7 = Rs 10,500 (option ‘D’)

Let their investments be Rs x, Rs y and Rs z
Thus their one month equivalent investments = 14x, 8y and 7z
Therefore, 14x : 8y : 7z = 5 : 7 : 8.
Now, 14x/8y = 5/7 => x/y = 40/98 = 20/49
And 8y/7z = 7/8 => y/z = 49/64
Hence, x : y : : y : z = 20 : 49 : : 49 : 64
=> x : y : z = 20 : 49 : 64 (option ‘B’)

Old ratio of A & B 20,000 : 30,000 = 2 : 3 (They share profit in the ratio of their capitals)
So A’s share is 2/5 and B’s share is 3/5
New Share of A will be in the ratio of 3 : 4 : 3 i.e. A = 3/10; B = 4/10 = 2/5
Now we have to find their sacrificing shares and then the ratio.
Now A’s sacrifice = Old share – New share =>>> 2/5 – 3/10 = 1/10, and B’s sacrifice = 3/5 – 2/5 = 1/5
Hence the ratio in which the premium is be divided between A and B is 1/10 : 1/5 = 1 : 2 (option ‘A’)

Money received by A for managing the business = 5% of Rs 7400 = Rs 370
Thus, the remaining profit = 7400 – 370 = Rs 7030
You should remember that when the profit sharing ratio is not given, the profit between the partners is distributed in the ratio of their investments/capitals.
But here partners’investments are not comparable as they are given for different periods. In such a case it’s better to find one month equivalent capital so that they become comparable.
Now one month equivalent investment of A = 6500*6 = 39000
One month equivalent investment of B = 8400*5 = 42000
One month equivalent investment of C = 10000*3 = 30000
So, the ratio of investments = 39000 : 42000 : 30000 = 13 : 14 : 10
Therefore, B’s share = 7030 x 14/37 = Rs 2660 (option ‘B’)

Let C subscribes = Rs x
Then, B subscribes = x + 5000
and A subscribes = x + 5000 + 4000 = x + 9000.
Hence, x + (x + 5000) + (x + 9000) = 50000
=> x = 12000
Therefore ratio of their investments i.e. A : B : C = (12000 + 9000) : (12000 + 5000) : 12000 = 21000 : 17000 : 12000 = 21 : 17 : 12.
Thus A’s share in the profit = 35000 x 21/50 = Rs 14,700 (option ‘D’)

You have to remember here that the profit given is for 8 months, so we’ll find the one month equivalent investments for 8 months, not for 12 months.
So, Arun’s 1 month equivalent investment = 8000*6
Kamal’s 1 month equivalent investment = 4000*8
Vinay’s 1 month equivalent investment = 8000*8
Hence the ratio of investments = 8,000*6 : 4,000*8 : 8,000*8 = 3 : 2 : 4.
Therefore Kamal’s share in the profit = Rs. 4005 x 2/9 = Rs 890 (option ‘A)

Let B’s capital = Rs x
So, A’s one month equivalent capital = 3500*12 = 42000
And B’s one month equivalent capital = x*7 = 7 x
Therefore,  42000/7x = 2/3
=> x = 9000 (option ‘D’)

Let A’s initial capital = Rs 400
And B’s initial capital = Rs 500
Thus A’s capital after 3 months = 400 – 1/4 of 400 = Rs 300
And B’s capital after 3 months = 500 – 1/5 of 500 = Rs 400
Hence, A’s 1 month equivalent capital for 10 months = 400*3 + 300*7  = 3300
And B’s 1 month equivalent capital for 10 months = 500*3 + 400*7 = 4300
So ratio of their capitals = 3300 : 4300 = 33 : 43
Therefore A’s share in the profit = 760*(33/76) = Rs 330 (option ‘A’)

Let B joined for x months.
Thus their one month equivalent capitals
A = 85000*12
B = 42500*x = 42500x
Therefore, (85000*12)⁄42500x = 3/1
=> x = 8 months (option ‘D’)

Let C’s share = Rs x
Then, B’s share = Rs x/2
and A’s share = Rs x/4
Thus their ratio = x/4 : x/2 : x = 1 : 2 : 4
Therefore, C’s share = 700*(4/7) = Rs 400 (option ‘C’)

Let the initial investments of A and B be 3x and 5x
Hence one month equivalent investments of A, B and C
A = 3x*12 =36x
B = 5x*12 = 60x
C = 5x*6 = 30x
Therefore their profit sharing ratio = 36x : 60x : 30x = 6 : 10 : 5 (option ‘C’)

Their one month equivalent use of the pasture 
A = 10*7 = 70 months
B = 12*5 = 60 months
C = 15*3 = 45 months
Hence their expenditure sharing ratio = 70 : 60 : 45 = 14 : 12 : 9
Therefore C’s share of the rent = 175*(9/35) = Rs 45 (option ‘A’)