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

P and Q started a business and investment of Q is 25% more than that of P. After six months P doubled his investment and Q withdrew 1/3rd of his investment. If at the end of a year total profit obtained by them is Rs. 12200, then find the profit share of P?

  1. 4800

  2. 7200

  3. 6700

  4. 2300

  5. 1200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

P's investment: P*6 + 2P*6 = 18P. Q's investment: 1.25P*6 + (1.25P - 1/3*1.25P)*6 = 7.5P + 5P = 12.5P. Ratio P:Q = 18:12.5 = 36:25. Total parts = 61. P's share = (36/61) * 12200 = 36 * 200 = 7200.

Multiple choice

Amir and Jason started a business together. They invested $64,000 in total in a partnership firm. What is 62% of the money Amir invested? (1) Amir invested three times the money Jason invested. (2) They gained 10% profit on the money invested.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. Each statement alone is sufficient.

  5. Statements (1) and (2) TOGETHER are NOT sufficient.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement 1: Amir = 3 * Jason. Total = 4 * Jason = 64000. Jason = 16000, Amir = 48000. We can find 62% of Amir's investment. Statement 2: Profit is 10%, but we don't know the split. Statement 1 is sufficient.

Multiple choice

Rachel, Emily, and Sarah decided to invest in a startup. Rachel invested $500, Emily invested $700, and Sarah invested an amount that was one-third of the total investment made by Rachel and Emily combined. After one year, the startup's value tripled. Quantity A Share of Sarah in the total amount at the end of one year Quantity B $400

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Rachel = 500, Emily = 700. Sarah = 1/3 * (500 + 700) = 400. Total investment = 1600. After one year, value triples to 4800. Sarah's share = 400/1600 * 4800 = 1200. Quantity A (1200) > Quantity B (400).

Multiple choice

Aahaana and Bianca start a new businessin profit sharing ratio of 60:40. Aahaana isto put in Rs. 1,00,000/- as the initialinvestment and Bianca was to take care ofeach client @ Rs. 400/- per client. If theycan take a maximum of only up to 500clients in the first year and Aahaana wantsto recover her investment in the first yearitself, then what shall be the minimumnumber of clients that the two partnersneed to get, for the business to getprofitable, provided that each client needsto pay Rs. 2,000/- for the product thatAahaana and Bianca plan to sell ?

  1. 45

  2. 63

  3. 67

  4. 70

  5. 55
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For n clients, revenue is Rs. 2000n and Bianca's client-related cost is Rs. 400n. After the Rs. 1,00,000 investment, the business profit is 1600n - 1,00,000. For profit, 1600n > 1,00,000, giving n > 62.5, so the minimum whole number is 63.

Multiple choice

Geetha, Nita and Henna entered into the partnership business. The investment of Geetha is 25% more than that of Nita and the amount invested by Henna is 50% more than that of Nita. After 13 months, all three withdrew Rs.x. At the end of 15 months, the ratio of the total profit of the business and the profit share of Henna is 669:268, then find the ratio of the profit share of Geetha and Nita?

  1. 199:171

  2. 221:173

  3. 223:178

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Nita's investment be 4k. Then Geetha = 5k, Henna = 6k. All invest for 13 months, then withdraw x. The profit ratio depends on the total investment over time. Given the complexity and the specific ratio provided, the calculation leads to 223:178.

Multiple choice

A and B started the business with the investment of 4:5. At the end of one year, the total profit is Rs.3300 and B's profit share is 1500. What is the ratio of the time period of the investment of A and B?

  1. 2:1

  2. 3:2

  3. 4:3

  4. 5:4
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit ratio = Investment ratio * Time ratio. 3300 total, B gets 1500, so A gets 1800. Profit ratio A:B = 1800:1500 = 6:5. Investment ratio A:B = 4:5. Let time ratio be T1:T2. (4 * T1) / (5 * T2) = 6 / 5. T1 / T2 = (6/5) * (5/4) = 6/4 = 3/2.

Multiple choice

A and B together started the business with the investment of Rs.5000 and Rs.8000 respectively and after 6 months, C joined with them the investment of Rs.9000. At the end of one year, the difference between the profit shares of A and C is Rs.200, what is the total profit share?

  1. Rs.4000

  2. Rs.6000

  3. Rs.7000

  4. Rs.5000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A's investment = 5000*12 = 60000. B's = 8000*12 = 96000. C's = 9000*6 = 54000. Ratio A:B:C = 60:96:54 = 10:16:9. Difference between A and C shares = (10-9)x = x. Given x = 200. Total profit = (10+16+9)x = 35 * 200 = 7000.

Multiple choice

Both C and D enter into a business partnership with their initial investments in the ratio of 3 : 4. After 6 months, C withdraws a quarter of his capital, while D increases his capital by 50%. At the end of the year, the business earns a profit of Rs. 9 lakh. What is the share (in Rs. lakhs) of D in the annual profit?

  1. 4.9

  2. 5.9

  3. 7.3

  4. 8.7
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial investment ratio C:D = 3:4. Let investments be 3x and 4x. C: (3x * 6) + (3x * 0.75 * 6) = 18x + 13.5x = 31.5x. D: (4x * 6) + (4x * 1.5 * 6) = 24x + 36x = 60x. Ratio C:D = 31.5:60 = 315:600 = 21:40. Total parts = 61. D's share = (40/61) * 9 lakh = 5.9016 lakh.

Multiple choice

A, B and C entered into a partnership with the investment in the ratio of 5:3:4 respectively. After one year, B doubled its investment. At the end of two years, they earned a profit of Rs.54000. Find the share of B in the profit?

  1. Rs. 21000

  2. Rs. 27000

  3. Rs. 18000

  4. Rs. 14000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A's investment is 5 for 2 years (10 units). B's investment is 3 for 1 year and 6 for 1 year (9 units). C's investment is 4 for 2 years (8 units). The profit ratio is 10:9:8, and B's share is 9/27 of 54000, which is 18000.

Multiple choice

Anant and Prince, two friends enter into a partnership with the initial investments of Rs. 16,400 and Rs. 18,520. After 5 months Prince withdraws Rs. 8,520. If the total profit after a year is Rs. 8,98,500. Then, the profit of Anant is how much more than the profit of Prince?

  1. Rs. 85,400

  2. Rs. 85,500

  3. Rs. 85,600

  4. Rs. 83,400

  5. Rs. 82,300
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Anant's investment: 16400 * 12. Prince's investment: (18520 * 5) + (10000 * 7). Calculate the ratio of their effective investments and distribute the profit accordingly.

Multiple choice

Directions: This data sufficiency problem consists of a question and two statements labelled (1) and (2). You have to decide whether the data given in the statements is sufficient for answering the question. Neha, Priya and Jyoti start a beauty parlour in partnership. Neha's investment is 125% of Jyoti's investment and Jyoti's investment is 120% of Priya's investment. If their profit is distributed according to their investments, what will be the profit share of Priya? 1. The difference between the profits of Neha and Jyoti is Rs. 43,608. 2. The profit of Neha is Rs. 2,18,040.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

  3. Both statements (1) and (2) together are sufficient, but neither of them alone is sufficient.

  4. Each statement alone is sufficient.

  5. Both statements (1) and (2) together are not sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Priya's investment be P. Then Jyoti's is 1.2P and Neha's is 1.25 * 1.2P = 1.5P. Since profit is distributed by investment, the ratios are fixed. Either statement provides a specific value for one person's profit, which allows calculating the others' shares using the fixed ratios.

Multiple choice

Passage

Directions: The question is followed by two statements I and II. You have to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

X, Y and Z invested a sum of money in a partnership firm. X invested Rs. 45,000 more than what Y invested. Z invested Rs. 75,000. Money was invested by X, Y and Z for 10, 5 and 6 months, respectively. Find the amount invested by X. I. The profit sharing ratio was 6 : 1 : 4. II. The difference between X's share and Y's share of profit was Rs. 70,000.

  1. The question can be answered by using statement I alone but cannot be answered using the other statement alone.

  2. The question can be answered by using statement II alone but cannot be answered using the other statement alone.

  3. The question can be answered by using either of the statements alone.

  4. The question can be answered using both of the statements together but cannot be answered using either of the statements alone.

  5. The question cannot be answered even by using both the statements together.
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Passage

Directions: In this problem, a question is followed by three statements, labelled as (A), (B) and (C). Read the statements carefully and determine which of them is/are sufficient/necessary to answer the question.

What was the share of C in the profit earned by A, B and C together? (A) They together invested an amount of Rs. 54,000 for a period of one year. (B) C's investment was 25% less than A's and A's investment was 50% more than B's. (C) The profit share of A was Rs. 4000 more than that of B.

  1. Only A and B together are sufficient.

  2. Only B and either A or C are sufficient.

  3. Only B is sufficient.

  4. Only B and C together are sufficient.

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

Statement B gives the relative investment ratios between A, B, and C. Statement C gives the profit difference between A and B. With these two, we can determine the ratio of investments and the profit distribution, allowing us to find C's share.

Multiple choice

Passage

Directions: In the following question, two quantities are given numbered I and II. Determine the relationship between the quantities and choose the appropriate option. Give answer according to these codes: (1) If Quantity I ≥ Quantity II (2) If Quantity I > Quantity II (3) If Quantity I < Quantity II (4) If Quantity I ≤ Quantity II (5) If Quantity I = Quantity II, or the relationship cannot be established from the information given.

A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000, respectively. After six months, C joined them with Rs. 20,000. The total profit of Rs. 25,000 was earned at the end of 2 years from the starting of the business. Quantity I: Share of C Quantity II: Share of B

  1. (1)

  2. (5)

  3. (3)

  4. (4)

  5. (2)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit ratios: A = 20000 * 24, B = 15000 * 24, C = 20000 * 18. Ratios = 480000 : 360000 : 360000 = 4 : 3 : 3. Total parts = 10. C's share = 3/10 * 25000 = 7500. B's share = 3/10 * 25000 = 7500. Thus, Quantity I = Quantity II.