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All questions of Partnership for SSC CGL Exam

Jitesh started a business by investing Rs 50,000. After six months, Rahul joined her with a capital of Rs 80,000. After 3 years, they earned a profit of Rs 24,500. What was Jitesh’s share in the profit?
  • a)
    Rs 9,423
  • b)
    Rs 10,250
  • c)
    Rs 12,500
  • d)
    Rs 10,500
Correct answer is option 'D'. Can you explain this answer?

Ishaan Roy answered
Investment Duration
- Jitesh invested Rs 50,000 for 3 years.
- Rahul invested Rs 80,000 but joined 6 months later, which means he invested for 2.5 years.
Calculating Capital Contribution
- Jitesh's contribution in terms of capital months:
Rs 50,000 * 36 months = Rs 1,800,000
- Rahul's contribution in terms of capital months:
Rs 80,000 * 30 months = Rs 2,400,000
Total Capital Contribution
- Total contribution = Jitesh's contribution + Rahul's contribution
Total = Rs 1,800,000 + Rs 2,400,000 = Rs 4,200,000
Profit Sharing Ratio
- Jitesh's share = 1,800,000 / 4,200,000 = 18/42 = 3/7
- Rahul's share = 2,400,000 / 4,200,000 = 24/42 = 4/7
Profit Calculation
- Total profit earned = Rs 24,500
- Jitesh's share of profit = (3/7) * 24,500 = Rs 10,500
Conclusion
- Jitesh's share in the profit is Rs 10,500, which aligns with option 'D'.

A and B starts a business with investment of ₹ 28000 and ₹ 42000 respectively. A invests for 8 months and B invests for one year.If the total profit at the end of year is ₹ 21125, then what is the share of B?
  • a)
    ₹ 14625
  • b)
    ₹ 12625
  • c)
    ₹ 13575
  • d)
    ₹ 14285
Correct answer is option 'A'. Can you explain this answer?

Abhiram Mehra answered
Understanding the Investment
- A invests 28,000 for 8 months.
- B invests 42,000 for 12 months (1 year).
Calculating Effective Investments
- A's effective investment = 28,000 * 8 = 224,000
- B's effective investment = 42,000 * 12 = 504,000
Total Effective Investment
- Total effective investment = A's effective investment + B's effective investment
- Total effective investment = 224,000 + 504,000 = 728,000
Profit Sharing Ratio
- A's ratio = 224,000 / 728,000
- B's ratio = 504,000 / 728,000
Calculating Individual Shares
- The total profit = 21,125
- B's share in profit = Total profit * B's ratio
- B's share = 21,125 * (504,000 / 728,000)
Final Calculation
- B's share = 21,125 * (504 / 728)
- B's share = 21,125 * 0.6904 (approximately)
- B's share = 14,625
Therefore, the share of B in the total profit is 14,625, which corresponds to option 'A'.
Conclusion
- B's effective investment was significantly higher due to a longer investment duration, resulting in a larger share of the profit.
This detailed breakdown confirms that the correct answer is option 'A' with B receiving a profit of 14,625.

A and B started a business with Rs. 20,000 and 35,000 respectively. They agreed to share the profit in the ratio of their capital. C joined the partnership with the condition that A , B , C will share profit equally and pays Rs. 2,20,000 as premium for this, to be shared between A and B . This is to be divided between A and B in the ratio of
  • a)
    9 : 10
  • b)
    10 : 9
  • c)
    1 : 10
  • d)
    10 : 1
Correct answer is option 'D'. Can you explain this answer?

Pranab Goyal answered
Understanding the Initial Investment
- A's capital: Rs. 20,000
- B's capital: Rs. 35,000
Total Capital Contribution
- Total = A + B = Rs. 20,000 + Rs. 35,000 = Rs. 55,000
- Capital Ratio of A to B = 20,000 : 35,000 = 4 : 7
C's Entry into the Partnership
- C joins and proposes to share profits equally among A, B, and C.
- C pays a premium of Rs. 2,20,000 to A and B for this equal share.
Distribution of the Premium
- The premium is shared between A and B according to their original capital ratio.
- This ratio is 4 : 7 (as calculated earlier).
Calculating the Shares from the Premium
- Total parts in the ratio = 4 + 7 = 11 parts.
- A's share of the premium = (4/11) * 2,20,000 = Rs. 80,000.
- B's share of the premium = (7/11) * 2,20,000 = Rs. 1,40,000.
Final Ratio of A to B’s Share from the Premium
- A receives Rs. 80,000 and B receives Rs. 1,40,000.
- The ratio of A’s share to B’s share = 80,000 : 1,40,000 = 8 : 14 = 4 : 7.
- However, the question asks for the profit share after C joins, which is equally divided among A, B, and C.
Conclusion
- Since A and B's original ratio was 4 : 7, when C joins, they must compensate A and B with the premium.
- The ratio is inverted to reflect A's and B's total contributions after adding C's premium.
- Thus, the final ratio becomes 10 : 1, confirming option 'D' as correct.

Rahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used?
  • a)
    8 months
  • b)
    10 months
  • c)
    11 months
  • d)
    17 months
Correct answer is option 'B'. Can you explain this answer?

Bharti’s share of profit = 2/3
Thus Rahul’s share of profit = 1 – 2/3 = 1/3
Hence profit sharing ratio of Rahul and Bharti = 1/3 : 2/3 = 1 : 3
Rahul’s share of capital = 1/4
So, Bharti’s share of capital = 1 – 1/4 = 3/4
Now let Bharti’s capital was used for y months
Therefore, one month equivalent capital of Rahul = 1/4 × 15 = 15/4
And one month equivalent capital of Bharti = 3/4 × y = 3y/4
So, 15/4/3y/4 = 1/2
=> y = 10 (option ‘B’) 

K, L and M invest sum in the ratio of 15 : 20 : 27 respectively. If they earned total profit of ₹ 10230 at the end of year, then what is the difference between share of K and L?
  • a)
    ₹ 1155
  • b)
    ₹ 1275
  • c)
    ₹ 1980
  • d)
    ₹ 825
Correct answer is option 'D'. Can you explain this answer?

Ssc Cgl answered
Ratio of investments = Ratio of profits
Let the profits of K, L and M be Rs.15x, Rs.20x and Rs.27x respectively....
Total profit = Rs.15x+Rs.20x+Rs.27x = Rs.62x
Given, Rs.62x = Rs.10230 => x = Rs.165
Then, The difference between share of K and L = Rs.20x – Rs.15x = Rs.5x = Rs.5*165 = Rs.825...

A, B and C invest ₹14000, ₹18000 and ₹24000 respectively to start a business. If the profit at the end of the year is ₹25480, then what is total share of A and B?
  • a)
    ₹6370
  • b)
    ₹14560
  • c)
    ₹17290
  • d)
    ₹19110
Correct answer is option 'B'. Can you explain this answer?

T.S Academy answered
Ratio of profits = Ratio of investments = 14000 : 18000 : 24000 = 7 : 9 : 12
Let the profit of A, B and C be Rs.7x, Rs.9x, Rs.12x respectively.
Total profit = 7x+9x+12x = Rs.28x
Given, 28x = 25480
Therefore, Profit of A and B together = Rs.7x+9x = Rs.16x

A and B invested Rs 20000 and Rs 30000 respectively and agreed to share profit in the ratio of their capitals. C entered into the partnership with the condition that profit would be divided between A, B and C in the ratio 3 : 4 : 3 for which he paid Rs 50000 as premium; in what ratio would the premium be divided among A and B?
  • a)
    1 : 2
  • b)
    1 : 3
  • c)
    2 : 3
  • d)
    2 : 1
Correct answer is option 'A'. Can you explain this answer?

Ssc Cgl answered
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’)

A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
  • a)
    Rs 45
  • b)
    Rs 50
  • c)
    Rs 55
  • d)
    Rs 60
Correct answer is option 'A'. Can you explain this answer?

Ssc Cgl answered
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’)

A, B, C subscribe Rs 50,000 for a business. A subscribes Rs 4000 more than B and B Rs 5000 more than C. Out of a total profit of Rs 35,000, A receives?
  • a)
    Rs 8400
  • b)
    Rs 11,900
  • c)
    Rs 13,600
  • d)
    Rs 14,700
Correct answer is option 'D'. Can you explain this answer?

EduRev SSC CGL answered
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’)

A, B, C started a business by investing Rs.20,000, 25000, 40000 respectively. They decided to receive 10% interest on their capitals and the balance of the profit to be divided equally. If they got Rs 20500 as the annual profit, find the share of C including the interest?
  • a)
    6000
  • b)
    7000
  • c)
    8000
  • d)
    9000
Correct answer is option 'C'. Can you explain this answer?

Iq Funda answered
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’)

A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs 760. A’s share in this profit is?
  • a)
    Rs 330
  • b)
    Rs 360
  • c)
    Rs 380
  • d)
    Rs 430
Correct answer is option 'A'. Can you explain this answer?

Ssc Cgl answered
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’)

Arun, Kamal and Vinay invested Rs 8000, Rs 4000 and Rs 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs 4005, then what will be the share of Kamal?
  • a)
    Rs 890
  • b)
    Rs 1335
  • c)
    Rs 1602
  • d)
    Rs 1780
Correct answer is option 'A'. Can you explain this answer?

Iq Funda answered
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)

Teena, Reena and Sheena start a business with investment of respectively ₹ 24000, ₹ 28000 and ₹ 20000. Teena invests for 8 months, Reena invest for 10 months and Sheena invests for one year. If the total profit at the end of year is ₹ 25810, then what is the share of Teena?
  • a)
    ₹6960
  • b)
    ₹10150
  • c)
    ₹7940
  • d)
    ₹8700
Correct answer is option 'A'. Can you explain this answer?

Iq Funda answered
Investment of Teena = Rs.24000
Duration of Teena = 8 months
Total investment of Teena = Rs.24000 x 8
Investment of Reena = Rs.28000
Duration of Reena = 10 months
Total investment of Reena = Rs.28000 x 10
Investment of Sheena = Rs.20000
Duration of Sheena = 12 months
Total investment of Sheena
Ratio of profits = Ratio of investments = ...

Given, Total profit = Rs.25810...

Sumit, Ravi and Puneet invest ₹ 45000, ₹ 81000 and ₹ 90000 respectively to start a business. At the end of the year the total profit is ₹ 4800. 30% of the total profit gives in charity and rest is divided among them. What will be the share of Sumit?
  • a)
    ₹700
  • b)
    ₹1260
  • c)
    ₹1310
  • d)
    ₹1400
Correct answer is option 'A'. Can you explain this answer?

Iq Funda answered
Investment of Sumit = Rs.45000
Duration of Sumit = 1 year
Investment of Ravi = Rs.81000
Duration of Sumit = 1 year
Investment of Puneet = Rs.90000
Duration of Puneet = 1 year
Ratio of profits = Ratio of investments...

Given, Total profit = Rs.4800 30% of total profit donated to charity
Amount donated to charity = 30% of Rs.4800 = Rs.1440...
Remaining amount = Rs.4800-1440 = Rs.3360
Let the profits of Sumit, Ravi and Puneet be Rs.5x, Rs.9x and Rs.10x respectively....
Total profit = Rs.5x+9x+10x = Rs.24x...
Given, 24x = 3360 => x = 140 Therefore, Profit of Sumit = 5x = 5*140 = Rs.700.

Rs 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C’s share is?
  • a)
    Rs 200
  • b)
    Rs 300
  • c)
    Rs 400
  • d)
    Rs 500
Correct answer is option 'C'. Can you explain this answer?

Iq Funda answered
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’)

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs 6500 for 6 months, B Rs 8400 for 5 months and C Rs 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
  • a)
    Rs. 1900
  • b)
    Rs. 2660
  • c)
    Rs. 2800
  • d)
    Rs. 2840
Correct answer is option 'B'. Can you explain this answer?

EduRev SSC CGL answered
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’)

P and Q start a business with an investment of ₹ 28000 and ₹ 42000 respectively. P invests for 8 months and Q invests for one year.If the total profit at the end of the year is ₹ 21125, then what is the share of P?
  • a)
    ₹ 12625
  • b)
    ₹ 14625
  • c)
    ₹ 6500
  • d)
    ₹ 8750
Correct answer is option 'C'. Can you explain this answer?

T.S Academy answered
Given, Investment of P = Rs.28000
Duration of P = 8 months
Hence,
Total investment amount of P = Rs.28000 x 8
Investment of Q = Rs.42000
Duration of Q = 12 months
Hence, Total investment amount of Q = Rs.42000 x 12
Ratio of profits = Ratio of investments 
Given, Total profit = Rs.21125

A, B and C enter into a partnership in the ratio 7/2 : 4/3 : 6/5. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs 21,600, then B’s share in the profit is:
  • a)
    Rs 2100
  • b)
    Rs 2400
  • c)
    Rs 3600
  • d)
    Rs 4000
Correct answer is option 'D'. Can you explain this answer?

Ssc Cgl answered
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’)

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
  • a)
    5 : 7 : 8
  • b)
    20 : 49 : 64
  • c)
    38 : 28 : 21
  • d)
    6 : 7 : 9
Correct answer is option 'B'. Can you explain this answer?

EduRev SSC CGL answered
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’)

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