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

Divisha started a company. Dini and Divya joined her in the first year. The investments of Divisha, Dini and Divya are in the ratio 50 : 27 : 25. In second year, Divisha added 40% and Divya added 60% to their investments and Dini withdrew 30% of her investment. In third year, the investments of Divya and Dini were same as the second year and Divisha added 50% to her second year investment. The ratio of their time periods in each year is 5 : 4 : 3. If profit share of Divya at the end of three years is Rs. 31,500, then what is the profit share of Divisha after three years?

  1. Rs. 1,12,500

  2. Rs. 22,500

  3. Rs. 2,25,000

  4. Rs. 50,000

  5. Rs. 5,46,000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

This is a complex partnership problem involving changing investments and time periods. Given the complexity and the specific profit share, the calculation leads to 1,12,500.

Multiple choice

Leena and Reena commenced a partnership firm for an year, where both of them invested equal money. 5 months hence, Reena made an additional investment of Rs. 4,500. If Leena received a profit equal to 66.66% of Reena's share, then find the total initial investment made by Leena and Reena.

  1. Rs. 10,500

  2. Rs. 10,250

  3. Rs. 9,750

  4. Rs. 8,500

  5. Rs. 7,500
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let initial investment be x. Leena's capital = x*12. Reena's capital = x*5 + (x+4500)*7 = 12x + 31500. Profit ratio is 2/3 (66.66%). So (12x)/(12x+31500) = 2/3. 36x = 24x + 63000, 12x = 63000, x = 5250. Total initial investment = 2x = 10500.

Multiple choice

Directions: The question given below is followed by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the question. What is the profit share of B if the profit is distributed according to their investments including time? A. A, B and C start a venture together. B invests Rs. 5000, C invests Rs. 1000 less than B, and A invests Rs. 7000 initially. A gets a profit of Rs. 965 at the end of one year. B. C gets a profit of Rs. 1351 at the end of one year.

  1. Statement A alone is sufficient to answer the question, but statement B alone is not sufficient to answer the question.

  2. Statement B alone is sufficient to answer the question, but statement A alone is not sufficient to answer the question.

  3. Both the statements taken together are necessary to answer the question, but neither of the statements alone is sufficient to answer the question.

  4. Either statement A or statement B by itself is sufficient to answer the question.

  5. Statements A and B taken together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Directions: In the given question, two quantities are given, one as 'Quantity 1' and another as 'Quantity 2'. You have to determine the relationship between the two quantities and choose the appropriate option. Isha, Payal and Lovely enter into a partnership with investments of Rs. 22,000, Rs. 41,000 and Rs. 35,000, respectively. The profit is distributed in the ratio of their investments including time and at the end of one year, they earn a total profit of Rs. 1,21,520. Quantity 1: Value of 50% of Isha's profit share Quantity 2: Value of 31% of Lovely's profit share

  1. Quantity 1 > Quantity 2

  2. Quantity 1 ≥ Quantity 2

  3. Quantity 2 > Quantity 1

  4. Quantity 2 ≥ Quantity 1

  5. Quantity 1 = Quantity 2 or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Investment ratio: 22:41:35. Sum = 98. Isha's share = (22/98) * 121520 = 27280. 50% of Isha's = 13640. Lovely's share = (35/98) * 121520 = 43400. 31% of Lovely's = 0.31 * 43400 = 13454. 13640 > 13454, so Q1 > Q2.

Multiple choice

Directions: The following question is accompanied by statements A and B. You have to determine which statement(s) is/are sufficient/necessary to answer the question. Renu, Rajesh, Rohit and Ravi started a business in partnership. If the total amount invested by all four persons is Rs. 68,000, then find the amount invested by Renu. (A) The ratio between the investment of Rajesh, Rohit and Ravi together and the investment of Renu is 12 : 5. (B) The ratio between the investment of Renu and the investment of Rajesh is 5 : 3 and the ratio between the investment of Rohit and the investment of Ravi is 4 : 5.

  1. Statement A alone is sufficient to answer the question, but statement B alone is not sufficient to answer the question.

  2. Statement B alone is sufficient to answer the question, but statement A alone is not sufficient to answer the question.

  3. Both the statements taken together are necessary to answer the question, but neither of the statements alone is sufficient to answer the question.

  4. Either statement A or statement B by itself is sufficient to answer the question.

  5. Statements A and B taken together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement A gives the ratio of (Rajesh+Rohit+Ravi) : Renu = 12:5. Total parts = 17. Renu's share = (5/17) * 68,000 = 20,000. Statement B provides ratios for subsets but not the total relative to Renu.

Multiple choice

Directions: The following question is accompanied by statements A and B. You have to determine which of the following statements(s) is/are sufficient/necessary to answer the question. W, X, Y and Z enter into a partnership. The total profit is Rs. 6,240 and it is shared in the ratio of their investment, including time. Find the difference of the profit share between W and Z? (A) The ratio of investment of W and investment of X and Y together is 16 : 27 and the ratio of investment of X and Y together and investment of Z is 3 : 1. (B) The ratio of investment of X and Y is 15 : 12, the ratio of investment of W and Y is 4 : 3 and investment of Z is 75% of investment of Y.

  1. Statement A alone is sufficient to answer the question, but statement B alone is not sufficient to answer the question.

  2. Statement B alone is sufficient to answer the question, but statement A alone is not sufficient to answer the question.

  3. Both the statements taken together are necessary to answer the question, but neither of the statements alone is sufficient to answer the question.

  4. Either statement A or statement B by itself is sufficient to answer the question.

  5. Statements A and B taken together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement A provides the ratio of W to (X+Y) and (X+Y) to Z, allowing us to find the ratio of W:X:Y:Z. Statement B provides ratios for X:Y, W:Y, and Z:Y, which also allows us to find the ratio of W:X:Y:Z. Since both allow finding the ratio of investments (and thus profit shares), both are individually sufficient.

Multiple choice

Anu, Manu and Kanu respectively invest Rs. 30,000, Rs. 20,000 and Rs. 15,000 in cloth business. Anu and Manu respectively get 15% and 5% of total profit. The remaining profit is divided among the three friends in the ratio of their investments. If Anu gets Rs. 800 more than Manu, find Anu's share in the profit.

  1. Rs. 2600

  2. Rs. 1900

  3. Rs. 1862

  4. Rs. 3586
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total profit P. Anu gets 0.15P, Manu gets 0.05P. Remaining 0.8P is divided in ratio 30:20:15 (or 6:4:3). Anu's total = 0.15P + (6/13)*0.8P. Manu's total = 0.05P + (4/13)*0.8P. Setting the difference to 800 allows solving for P, then finding Anu's share.

Multiple choice

Directions: In a start-up, 40% investment is made by the government and the rest of the investment by four CEOs of different companies, i.e. A, B, C and D. The investment of B's CEO is 25% more than that of A's CEO. The investment of C's CEO is 16/15th of that of B's CEO and the investment of D's CEO is 17/16th of that of C's CEO. They invest their money for one year. They donate 2% of the total profit to an NGO for social work and the remaining profit is divided among them in the ratio of their investments including time. If the profit share of A is Rs. 1,61,040, then which of the following options represents the profit of the government, B and D, respectively? (i) Rs. 5,36,800, Rs. 2,01,300 and Rs. 2,28,140 (ii) Rs. 5,36,800, Rs. 2,21,300 and Rs. 2,43,140 (iii) Rs. 6,36,800, Rs. 1,01,300 and Rs. 2,28,140 (iv) Rs. 6,36,800, Rs. 2,31,300 and Rs. 2,38,140 (v) Rs. 5,46,800, Rs. 2,51,300 and Rs. 2,08,140

  1. (i)

  2. (ii)

  3. (iii)

  4. (iv)

  5. (v)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The investment ratios are A:B:C:D. B = 1.25A, C = (16/15)B = (16/15)(5/4)A = (4/3)A, D = (17/16)C = (17/16)(4/3)A = (17/12)A. The ratio A:B:C:D is 1:1.25:1.33:1.416, or 12:15:16:17. Profit share of A is 1,61,040. Total profit after 2% donation is X. A's share is (12/60) * 0.98X = 1,61,040. Solving for X gives the total profit, allowing calculation of other shares.

Multiple choice

Directions: In the question, two quantities are given, one as 'Quantity 1' and another as 'Quantity 2'. You have to determine relationship between the two quantities and choose the appropriate option. P, Q and R started a business by investing in the ratio 11 : 21 : 31. If 31% of the total profit goes to charity and the remaining profit will be shared by them, then P's share in the profit is Rs. 75,900. Quantity 1: The total profit. Quantity 2: Rs. 6,35,000

  1. Quantity 1 > Quantity 2

  2. Quantity 1 ≥ Quantity 2

  3. Quantity 2 > Quantity 1

  4. Quantity 2 ≥ Quantity 1

  5. Quantity 1 = Quantity 2 or relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

P's share = (11/63) * (0.69 * Total) = 75900. (11/63) * 0.69 * T = 75900. T = 75900 * 63 / (11 * 0.69) = 6900 * 63 / 0.69 = 10000 * 63 = 630,000. Quantity 1 = 630,000. Quantity 2 = 635,000. Thus Q2 > Q1.

Multiple choice

A, B and C started a business by investing Rs. 55,000, Rs. 65,000 and Rs. 75,000, respectively. A was a working partner and got 20% of the profit as working allowance, the remaining being distributed in the proportion of their investments. If the money received by C was Rs. 27,000, what was the total profit?

  1. Rs. 85,500

  2. Rs. 87,750

  3. Rs. 76,850

  4. Rs. 70,200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A gets 20% of the profit as a working allowance, leaving 80% to be shared in the ratio of investments (55:65:75 or 11:13:15). C's share is 15/39 of 80% of the total profit, which equals 27,000. Solving for total profit gives 27,000 * 39 / (15 * 0.8) = 87,750.

Multiple choice

A and B started a business with a total capital of Rs. 30,000. At the end of the year, they shared the profit in the ratio of their investments. If their capitals were interchanged, then A would have received 175% more than what he actually received. Find out the capital of B.

  1. Rs. 20,000

  2. Rs. 22,000

  3. Rs. 21,000

  4. Rs. 23,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A's capital be x, B's be 30000-x. Profit ratio = x : (30000-x). If interchanged, ratio = (30000-x) : x. A's new profit = (30000-x)/30000 * Total_Profit. A's old profit = x/30000 * Total_Profit. New = 2.75 * Old. (30000-x) = 2.75x. 30000 = 3.75x. x = 8000. B = 30000 - 8000 = 22000.

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? Ram and Shyam started a business together. What is Shyam's profit? I. Ram and Shyam started a business investing Rs. 12000 and Rs. 9000 respectively. II. Ram invested for 2 months more than Shyam. III. In the profit, Ram's share is Rs. 1500 more than Shyam's share at the end of the year.

  1. I and II

  2. I and III

  3. Any two of them

  4. All I, II and III

  5. Answer can not be given even using all the three statements.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statements I and II give investment data but no time duration for either partner. Statement III gives profit difference but not total profit or profit-sharing ratio. Without knowing how long each invested (II only says Ram invested 2 months MORE than Shyam, but not the actual months) and without total profit amount, Shyam's individual profit cannot be determined. The data is insufficient even with all three statements.