Quantitative Aptitude

Partnership

842 Questions
All Capital changes, admission, and withdrawal 249 Compound partnership and time-weighted capital 186 Absolute profit or percentage difference to ratio 126 Simple partnership 100 Working and sleeping partners 79 Retirement and gaining ratio 63 Interest on capital and fixed allowances 39

Partnership Questions

Multiple choice

Satyendra, Rakesh and Jyoti started a business investing Rs. 10200, Rs. 13800 and Rs. 19200 respectively. At the end of year profit was Rs. 50400, what will be Rakesh's share?

  1. Rs. 11900

  2. Rs. 22400

  3. Rs. 16600

  4. Rs. 23800

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Investments are 10200:13800:19200 = 51:69:96 (divide by 200). Rakesh's share = 69/(51+69+96) × 50400 = 69/216 × 50400 = 0.3194... × 50400 = Rs. 16100. This matches none of the given amounts (11900, 22400, 16600, 23800), so E is correct.

Multiple choice

Rohit started a business with Rs. 120000. After 3 months, Sumit joined the business with Rs. 190000. At the end of year the profit is Rs. 1750000. What is the share of Sumit ?

  1. Rs. 800000

  2. Rs. 850000

  3. Rs. 900000

  4. Rs. 950000

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Rohit's investment: Rs. 120000 for 12 months = 120000 × 12 = 1440000. Sumit's investment: Rs. 190000 for 9 months = 190000 × 9 = 1710000. Profit ratio = 1440000 : 1710000 = 16 : 19. Total profit = Rs. 1750000. Sumit's share = (19/35) × 1750000 = Rs. 950000.

Multiple choice

A and B started a business by investing Rs. 25000 and Rs. 15000 respectively .B left the business after 5 months. The profit earned at the end of the year is Rs. 6080,what is B's share of profit?

  1. Rs. 2240

  2. Rs. 2360

  3. Rs. 2560

  4. Rs. 2440

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

A's investment: 25000×12 = 300000. B's investment: 15000×5 = 75000. Ratio = 300000:750000 = 4:1. B's share = (1/5)×6080 = 1216. This is not among options A-D, so E is correct.

Multiple choice

Geeta started a business investing Rs. 45,000. After 8 months, Meenu joined her with a capital of Rs. 52,000. At the end of the year the total profit was Rs. 56,165. What is the approximate share of profit of Meenu?

  1. Rs. 11,450

  2. Rs. 14,440

  3. Rs. 27,635

  4. Rs. 31,765

  5. Rs. 15,618
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Geeta invested for 12 months, Meenu for 4 months (joined after 8 months). Ratio of investments × time: Geeta = 45000×12 = 540000, Meenu = 52000×4 = 208000. Ratio = 540000:208000 = 135:52. Meenu's share = (52/187) × 56165 ≈ 0.278 × 56165 ≈ 15618. Option E is correct.

Multiple choice

$A, B and C together invested an amount of Rs. 48000 in the ratio of 6:5:1. What was the percent profit earned by them at the end of one year?$ (I) B's share in the profit is Rs. 20000. (II) The amount of profit received by A is equal to the amount of profit received by B and C. (III) The amount of profit received by B and C together is Rs. 9600.

  1. Only I

  2. Only III

  3. Only either I or III

  4. All I, II and III

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Investment ratio A:B:C = 6:5:1, total Rs. 48000. So A = 6/12 × 48000 = Rs. 24000, B = 5/12 × 48000 = Rs. 20000, C = 1/12 × 48000 = Rs. 4000. Statement I: B's profit = Rs. 20000, so profit % = (20000/20000) × 100 = 100%. Statement III: B+C's profit = Rs. 9600, so total profit = 9600 × (12/6) = Rs. 19200, profit % = (19200/48000) × 100 = 40%. Either I or III alone gives profit %, matching option C.

Multiple choice

A, B and C started a business by investing Rs. 36000, Rs. 42400 and Rs. 28800. If at the end of the year C got Rs. 9900 as his share of annual profit, then what is the total annual profit ?

  1. Rs. 32420

  2. Rs. 36850

  3. Rs. 30180

  4. Rs. 34220

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Investments: A = Rs. 36000, B = Rs. 42400, C = Rs. 28800. The profit is shared in the ratio of investments: 36000 : 42400 : 28800. Simplify by dividing by 400: 90 : 106 : 72. C's share is 72/(90+106+72) = 72/268 of total profit. If C gets Rs. 9900, then total profit = 9900 × 268/72 = Rs. 36850. Option B is correct.

Multiple choice

A and B together start a business by investing in the ratio of 4:3. If 9% of the total profit goes to charity and A's share is Rs. 1196, find the total profit?

  1. Rs. 2300

  2. Rs. 4435

  3. Rs. 2093

  4. Rs. 2700
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A and B invest in ratio 4:3, so their shares are in ratio 4:3. After 9% goes to charity, 91% remains. A's share = 91% × (4/7) × Total Profit = 1196. So Total Profit = 1196 × 7 / (0.91 × 4) = 1196 × 7 / 3.64 = 2300. Verification: 91% of 2300 = 2093, A's share = (4/7) × 2093 = 1196, B's share = (3/7) × 2093 = 897, charity = 207, and 1196 + 897 + 207 = 2300.

Multiple choice

Dilip, Ram and Amar started a business investing Rs.2700, Rs. 8100 and Rs. 7200 respectively. At the end of a year, the earned profit is distributed. If Ram's share is Rs.3600, what was their total profit?

  1. Rs. 10800

  2. Rs. 11600

  3. Rs. 8000

  4. Cannot be determined

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The profit is shared in the ratio of investments: Dilip:Ram:Amar = 2700:8100:7200 = 3:9:8. Ram's share is 9/20 of total profit. If Ram's share is Rs.3600, then total profit = 3600 × 20/9 = Rs.8000. Option C is correct.

Multiple choice

In a business of partnership. What is the difference between the share of R and T? I. R's investment is Rs. 70000 more than T's investment. II. The ratio between the period of investment is 4 : 3. III. R withdrew 10% of his investment after spending 90% of the total period.

  1. I or III

  2. Only II

  3. All

  4. Can't be answered with all three statements

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In a partnership, profit share depends on investment × time. Let T's investment be x. Then R's investment = x + 70000. The time ratio is 4:3. Let R's time = 4t, T's time = 3t. R withdrew 10% after 90% of the period. This means R invested (x + 70000) for 90% of 4t = 3.6t, and then 0.9(x + 70000) for 0.4t. R's effective investment = (x + 70000) × 3.6t + 0.9(x + 70000) × 0.4t. T's investment = x × 3t. The profit share ratio can be calculated, but we need the actual profit amount to find the difference in shares, which is not given. Therefore, it cannot be answered.

Multiple choice

In these questions, a question is given followed by information in three statements consider the information in all the three statements and decide the information in which statement(s) is not necessarily required, to answer the question and therefore can be dispensed with. Indicate your answer accordingly. What is Neeta’s share in the profit earned at the end of 2 year in a joint business run by Neeta, Seeta and Geeta ? I. Neeta invested Rs. 85,000/- to start the business. II. Seeta and Geeta joined Neeta’s business after six months investing amounts in the ratio of 3 : 5 respectively. III. Total amount invested by Seeta and Geeta is Rs. 2.5 lacs

  1. Only ll

  2. Only III

  3. Only either II or III

  4. Only I

  5. None can be dispense
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

To find Neeta's share, we need: (1) Neeta's investment amount (I gives 85,000 for 2 years), (2) profit calculation method (assumed proportional to investment × time), (3) Seeta and Geeta's individual investments and timing. II says they joined after 6 months (invested for 18 months) in 3:5 ratio, but not actual amounts. III says total of Seeta+Geeta = 2.5 lacs, but not individual split or timing. Both II and III are needed together to determine their investments. Only I can be dispensed with? Wait - I gives Neeta's 85,000 which IS needed. The question asks what CAN be dispensed. Actually ALL three seem necessary: I (Neeta's amount), II (timing + ratio for S&G), III (total for S&G). But the answer says E (None can be dispensed). That's correct - all three are needed.

Multiple choice

Rakesh, Vinay and Ramesh start a business investing Rs. 26000, Rs. 34000 and 10000 respectively. What is Vinay's share of profit Rs. 3500 at the end of a year?

  1. Rs. 1300

  2. Rs. 1600

  3. Rs. 1800

  4. Rs. 1500

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

The investments are in the ratio 26000:34000:10000, which simplifies to 26:34:10 or 13:17:5. Total parts = 13 + 17 + 5 = 35. Vinay's share should be (17/35) × 3500 = 1700. However, none of the options (A: 1300, B: 1600, C: 1800, D: 1500) match this correct calculation. The answer must be 'None of these'.

Multiple choice

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What is the R’s share of profit in a joint venture? (A) Q started a business investing Rs. 80000 (B) R joined him after 3 months (C) P joined after 4 months with capital of Rs 120000 and got Rs. 6000 as his share of profit

  1. Only A and C are required

  2. Only B and C are required

  3. All A, B and C together are required

  4. Even with all A, B and C the answer cannot be found

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement A gives Q's investment but no duration or profit info. Statement B says R joined after 3 months but gives no investment amount. Statement C gives P's investment and profit share but no total profit or time period. Even together, we don't know: R's investment amount, the total profit, or how long the business ran. Therefore, R's profit share cannot be determined, making option D correct.

Multiple choice

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? In a business P, Q and R work together, what profit Q earns in 2 years? (A) P and Q started a business with the capital in the ratio 3 : 5 respectively (B) R joined them after 6 months with a capital of Rs. 4 lakh (C) At the end of 2 year the share of P in the profit was Rs. 60000

  1. Only A and C are sufficient

  2. Only B and C are sufficient

  3. Either A or B and C are sufficient

  4. All the three are necessary to answer

  5. All the three together are not sufficient
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Q's profit in 2 years depends on capital contribution and time. From (A): P:Q = 3:5, so P invests 3x, Q invests 5x. From (C): P's share after 2 years = Rs. 60000. Total profit ratio = P:P:Q = 3×24 : 5×24 : 4×18 = 72 : 120 : 72 = 2:3.33:2 (approximately). P's share is 60000, so Q's share = (120/72) × 60000 = Rs. 100000. Statement (B) about R's capital is irrelevant - R's profit share doesn't affect Q's. Only A and C are sufficient.

Multiple choice

In a partnership, A,B and C invested Rs. 3800, Rs. 2400 and Rs. 3400 respectively. What is the net profit of C if total profit is Rs. 1584

  1. Rs. 432

  2. Rs. 510

  3. Rs. 462

  4. Rs. 561

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In a partnership, profit is distributed in proportion to investment. Total investment = 3800 + 2400 + 3400 = 9600. C's share = (C's investment / Total investment) × Total profit = (3400 / 9600) × 1584. Simplifying: (3400 / 9600) = 34/96 = 17/48. So C's profit = (17/48) × 1584 = 17 × 33 = 561.