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

Ranjeet, Akash and Vijay invested Rs. 10000, Rs. 12000 and Rs. 8000 respectively in a business. Ranjeet left after six months. If after ten months, there was a gain of Rs. 1820, then what will be the share of Vijay?

  1. 530 Rs.

  2. 650 Rs.

  3. 480 Rs.

  4. 560 Rs.

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

In partnership, profit is shared in proportion to investment × time. Vijay's ratio is 80000:260000 or 8:26. His share of Rs. 1,820 is (8/26) × 1820 = Rs. 560, which accounts for his full 10-month participation.

Multiple choice

A and B are partners in a business.A invests 1/3 of the capital for 8 months and then he reduces his investment by 50%.At the end of two years, A got 1/4 of the total profit as his share for how much time did B invest his capital ?

  1. 16 months

  2. 18 months

  3. 14 months

  4. 24 months
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A invests 1/3 capital for 8 months, then 1/6 capital (50% reduction) for 16 months (24-8). Total A-units = (1/3)*8 + (1/6)*16 = 8/3 + 16/6 = 16/6 + 16/6 = 32/6. A gets 1/4 profit, so total-units/A-units = 4/1, meaning total-units = 128/6. B-units = total - A = 128/6 - 32/6 = 96/6 = 16. Let B invest 1/3 capital for x months: (1/3)*x = 16, so x=48. But B's capital is 2/3 (A had 1/3), so (2/3)*x = 16 gives x=24 months. Option D correct.

Multiple choice

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer- Find the share of C? (I) Ratio of capital of a, b and c is 3 : 4 : 5. (II) Ratio of their time taken in the ratio 1 : 2 : 3.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together is sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I: Capital ratio a:b:c = 3:4:5. Statement II: Time ratio a:b:c = 1:2:3. For partnership profit distribution, share = capital × time. Calculating: A's share = 3×1 = 3 units; B's share = 4×2 = 8 units; C's share = 5×3 = 15 units. However, without knowing the total profit amount, we cannot determine C's actual monetary share (only the proportion 15/26). Even together, the statements don't provide sufficient information.

Multiple choice

Sarita started a boutique investing an amount of Rs. 50000. Six months later Neeta joined her with an amount Rs. 80000. At the end of one year they earned a profit of Rs. 18000. What is Sarita's share in the profit?

  1. Rs. 9000

  2. Rs. 8000

  3. Rs. 12000

  4. RS. 10000

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

Sarita invested Rs. 50000 for 12 months, Neita invested Rs. 80000 for 6 months (since she joined 6 months late). Ratio of investments = 50000 × 12 : 80000 × 6 = 600000 : 480000 = 5 : 4. Sarita's share = (5/9) × 18000 = Rs. 10000. Profit is divided in proportion to capital invested × time.

Multiple choice

Kiran starts a business with an investment of Rs. 40000. Anil joins her after three months with a capital of Rs. 30000. If Kiran withdraws 4 months before the end of the year, find the ratio in which they share the profits at the end of the year.
  1. $21 : 32$
  2. $32 : 19$
  3. $32 : 27$
  4. $25 : 31$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Kiran's investment of Rs. 40000 was active for 8 months (12-4 months withdrawn). Anil's investment of Rs. 30000 was active for 9 months (joined 3 months late, stayed till year-end). Profit sharing ratio = (40000 × 8) : (30000 × 9) = 320000 : 270000 = 32 : 27. This is the standard time-weighted partnership calculation.

Multiple choice

P, Q, R, S four persons invested a combined amount of Rs x lakhs to start a business in such a way that P’s share is (\frac{3}{16}) of total invested amount, R’s share is (\frac{2}{7}) of Q, S’s share is 200% of R and Q’s share is Rs 28 lakhs. Total invested amount is 4 times of the amount invested by S. What is the ratio of shares of P, Q, R and S?

  1. 2 : 7 : 3 : 4

  2. 7 : 2 : 4 : 3

  3. 3 : 7 : 2 : 4

  4. 9 : 21 : 7 : 12

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

Given Q = Rs 28 lakhs. R = (2/7)×Q = 8 lakhs. S = 200% of R = 16 lakhs. Total = 4×S = 64 lakhs. P = (3/16)×Total = 12 lakhs. Ratio P:Q:R:S = 12:28:8:16 = 3:7:2:4 (dividing by 4). The question states Total = 4×S, which is satisfied: 64 = 4×16 ✓

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 total profit? (I) A, B and C started a shop by investing Rs. 5400, Rs. 14400 and Rs. 16200 respectively. (II) At the end of the year the profits were distributed among them C's share of profit was Rs. 7200. (III) B's share of profit Rs. 6400.

  1. Only I and II

  2. Only II and III

  3. I and II or III

  4. Only I or II and III

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

Using I, we have the investment ratio A:B:C = 5400:14400:16200 = 3:8:9. From II, C's actual profit is Rs. 7200. Since profit is proportional to investment, total profit = 7200 × (3+8+9)/9 = 7200 × 20/9 = Rs. 16000. From III, B's profit Rs. 6400 gives total = 6400 × 20/8 = Rs. 16000. Statement I is essential - without knowing the investment ratio, we cannot determine total profit from individual shares.

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 R's share? (I) Q invested Rs. 80000/- in a business. (II) R joined him after 3 months. (III) P entered into the business after 4 months with a capital of Rs. 1,20,000 and earned a profit of Rs. 6000.

  1. I and III

  2. II and III

  3. All I, II and III

  4. Answer can not be given even using all the three statements.

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

To find R's share in a business, we need complete information about: investment amounts, duration of investment for each partner, and total profit. Statement I gives Q's investment (Rs. 80,000). Statement II says R joined after 3 months but doesn't give R's investment amount. Statement III gives P's investment (Rs. 1,20,000), timing (after 4 months), and P's profit (Rs. 6000) but not total profit or R's investment. We don't have total profit, Q's and R's investment durations, or R's investment amount - making it impossible to determine R's share.

Multiple choice

P, Q and R invested Rs. 45,000, Rs. 70,000 and Rs. 90,000 respectively to start a business. At the end of two years, they earned a profit of Rs. 1,64,000. What will be Q's share in the profit?

  1. Rs. 56,000

  2. Rs. 35,000

  3. Rs. 72,000

  4. Rs. 64,000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In a partnership, profits are distributed in proportion to investments and time. Here all partners invested for the same duration (2 years), so profit is proportional only to investment amounts. Total investment = 45000 + 70000 + 90000 = 205000. Q's share = (70000/205000) × 164000 = 56000. The calculation confirms option A is correct.

Multiple choice

Find the correct relationship between the given quantities: A starts a business by investing some amount. B joins here after 4 months investing 50% more amount than A. C joins them for last 4 months by investing amount equal to 60% of total amount of A and B together. If they got annual profit of Rs 50000 then\Quantity I =difference between shares of A and B \Quantity II =difference between shares of B and C

  1. Quantity II > Quantity I

  2. Quantity I ≥ Quantity II

  3. Quantity I > Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A's investment = x. B invests 1.5x for 8 months = 12x-equivalent. C invests 0.6(x+1.5x) = 1.5x for 4 months = 6x-equivalent. Total = 30x. Profit distribution: A gets 12/30 × 50000 = 20000, B gets 12/30 × 50000 = 20000, C gets 6/30 × 50000 = 10000. Quantity I (A-B diff) = 0, Quantity II (B-C diff) = 10000. Therefore Quantity II > Quantity I.

Multiple choice

A and B started a business together, A invested 36,000 and B invested 60,000. A is active partner and B is sleeping partner. A received 10% of the profit for managing the business, and remaining is divided in proportion to their capitals. If A total received Rs 7000 of profit, then find the share of B in profit.

  1. Rs 10,000

  2. Rs 12,000

  3. Rs 8,000

  4. Rs 9,000

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

Total profit = Rs 7000 + Rs 9000 = Rs 16000. A gets 10% of 16000 = 1600 for management, leaving 14400 to divide by capital ratio 36000:60000 = 3:5. A gets (3/8) × 14400 = 5400, B gets (5/8) × 14400 = 9000. A's total = 1600 + 5400 = 7000 (matches given), B's share = 9000.

Multiple choice

Each question contains a statement followed by Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly. \begin{enumerate} \item Quantity I: Ram and Shyam started a business with Rs.4800 and Rs.6400 respectively. Ram invested only 5 months and they divided their shares after a year. The ratio of profit of Ram and Shyam is 3: 8. Then find for how many months Shyam invested the money? \item Quantity II: Pawan and Quasim invested in the ratio of 5: 8. Pawan invested the money for 8 months. The ratio of profit of Pawan and Quasim is 1: 2. Then find for how many months Quasim invested the money?\end{enumerate}

  1. Quantity II > Quantity I

  2. Quantity I ≥ Quantity II

  3. Quantity I > Quantity II

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: Profit ratio 3:8 with Ram (4800) investing 5 months. If Shyam (6400) invests x months: (4800*5)/(6400*x) = 3/8. Solving: 24000/6400x = 3/8 → 3*6400x = 192000 → x = 10 months. Quantity II: Pawan (5 parts) invests 8 months, Quasim (8 parts) invests y months. Profit ratio 1:2 gives (5*8)/(8*y) = 1/2 → 40 = 4y → y = 10 months. Both quantities equal 10, so answer is 'equal'. Option E is correct.

Multiple choice

Amit and Vikas are partners in a business. They invest in the ratio 4:7, at the end of 6 months Vikas withdraws. If they receive profits at the end of year in the ratio of 2:3, find how long Amit’s investment was used?

  1. 5 months

  2. 3 months

  3. 4 months

  4. 7 months

  5. 9 months
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In partnership problems, profit is distributed in proportion to investment × time. Amit invests 4x for 12 months = 48x months. Vikas invests 7x for 6 months = 42x months. Profit ratio 2:3 means Amit gets 2 parts, Vikas gets 3 parts. Setting up: 48x/42x = 2/3 gives 48/42 = 8/7. Solving gives Amit's time = 7 months. Option D is correct.

Multiple choice

Aman started a business in 2009 by investing Rs. 50000. He invested Rs. 20000 as additional amount in 2010 and his friend Dev joined him with an amount of Rs. 70000. Aman invested another Rs. 20000 in 2011 and Anuj joined them with Rs. 70000. At the end of these 3 years, they earned a profit of Rs. 30000. Find Dev’s share?

  1. 15000

  2. 10000

  3. 8000

  4. 9500

  5. 12000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Calculate investment × time for each partner. Aman: 50000×3 + 20000×2 + 20000×1 = 210000. Dev: 70000×2 = 140000. Anuj: 70000×1 = 70000. Ratio = 210:140:70 = 21:14:7. Dev's share = 14/42 × 30000 = 10000. Option A (15000) would result from incorrectly calculating Aman's investment as only 50000×3.

Multiple choice

Rajesh, Yuvaraj and Dhinesh started the business by investing in the ratio of 7: 5: 6. 20% of the profit goes to charity, the remaining will be shared by three of them. The share of Yuvaraj is Rs.30000. Find the total profit?

  1. Rs.116000

  2. Rs.135000

  3. Rs.124000

  4. Rs.142000

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

After 20% charity deduction, 80% of profit is distributed in ratio 7:5:6. Yuvaraj's share is 5/(7+5+6) of 80%. Let P be total profit: (5/18) × 0.8P = 30000, so P = 30000 × 18/(5 × 0.8) = 30000 × 4.5 = 135000. The key is understanding that only 80% is shared, not the full profit.