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, Q and R start a business jointly. Twice the capital of P is equal to thrice the capital of Q and the capital Q is four times the capital of R, find the share of Q in an annual profit of ₹148500

  1. ₹54000

  2. ₹64000

  3. ₹56000

  4. ₹55000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

From the given conditions, we have 2P = 3Q and Q = 4R. Expressing all capitals in terms of Q gives P = 1.5Q and R = 0.25Q, which yields a investment ratio P : Q : R of 6 : 4 : 1. Q's share of the profit is therefore 4/11 of the total profit of Rs. 148,500, which equals Rs. 54,000.

Multiple choice

M, N and P invest ₹50000 for a business, M invests ₹4000 more than N and N invests ₹5000 more than P. out of the total profit of ₹70000, what is the share received by M

  1. ₹29400

  2. ₹30000

  3. ₹35000

  4. ₹40000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let P's investment be x. Then N's investment is x + 5000 and M's investment is x + 9000. Summing these to 50,000 gives x = 12,000, which means M, N, and P invested 21,000, 17,000, and 12,000 respectively. M's share of the 70,000 profit is therefore 70,000 * (21,000 / 50,000) = 29,400.

Multiple choice

Arjun invested Rs. 2,400 and Bhaskar invested Rs. 3,600 in a startup. After the completion of four successful months of the startup, Keshav also invested Rs. X in this startup. After the completion of eight successful months of the startup, Bhaskar withdrew Rs. 600. When the annual profit was calculated, it came out to be Rs. 22,500 and Keshav's share in this profit was Rs. 8,000. What is the value of X?

  1. Rs. 4,800

  2. Rs. 5,000

  3. Rs. 4,600

  4. Rs. 4,200

  5. Rs. 5,200
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Calculate the investment-months for each: Arjun = 2400 * 12 = 28800. Bhaskar = 3600 * 8 + 3000 * 4 = 28800 + 12000 = 40800. Keshav = X * 8. Total = 69600 + 8X. Keshav's share = (8X / (69600 + 8X)) * 22500 = 8000. Solving for X gives 4800.

Multiple choice

Suman began a business with a capital of Rs. 50,000 and after 3 months, Manu entered into the partnership with a capital of Rs. 75,000. Three months later, Amandeep joined the firm with a capital of Rs. 1,25,000. At the end of the year, the firm made a profit of Rs. 99,495. How much of this sum did Amandeep receive?

  1. Rs. 34,850

  2. Rs. 41,250

  3. Rs. 36,850

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

Suman invested 50000 for 12 months, Manu 75000 for 9 months, Amandeep 125000 for 6 months. Ratios: 50*12 : 75*9 : 125*6 = 600 : 675 : 750 = 8 : 9 : 10. Total parts = 27. Amandeep's share = (10/27) * 99495 = 36850.

Multiple choice

Three drunkards agree to pool their vodka and decided to share it with the fourth drunkard (who has no vodka) at a price equal to 5 roubles a litre. The first drunkard contributed 1 litre more than the second and the second contributed 1 litre more than the third. Then all four of them divided the vodka equally and drank it. The fourth drunkard paid money, which was divided in the ratio of each drunkard`s contribution towards his portion. It was found that the first drunkard should get twice as much money as the second. How much money did the second drunkard get (in roubles)?

  1. 10

  2. 8

  3. 5

  4. Data insufficient
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

The following questions are accompanied by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Find the amount invested by Rohan in his partnership business with his 2 other friends ? (A) Ratio of their profit is 15 : 16 : 15 (Rohan, Vikas, Nandu) and Vikas got Rs.16000/- as profit share. (B) Ratio of time period for which they invested is 5 : 4 : 3 (Rohan: Vikas: Nandu), and Nandu invested Rs. 20000 more than Rohan and both them gets equal share.

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

  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 questions, 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
B Correct answer
Explanation

Statement B: Ratio of time is 5:4:3. Let investments be R, V, N. Profit share = Investment * Time. Since R and N get equal shares, R*5 = N*3. Also N = R + 20000. 5R = 3(R + 20000) -> 5R = 3R + 60000 -> 2R = 60000 -> R = 30000. Statement B is sufficient.

Multiple choice

The following questions are accompanied by two statements A and B. You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Veer and Neeraj started a business together. Ratio between profit share of Veer to total profit is 3 : 7. Find initial investment of Veer? A. Neeraj invested 50% more than Veer, while ratio between time invested by Veer to Neeraj is 9 : 8. B. Veer invested Rs. 2,000 less than Neeraj while Veer and Neeraj invested for 9 and 8 months respectively.

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

  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 questions, 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
B Correct answer
Explanation

Profit share ratio = (Investment * Time). Veer:Neeraj = 3:7. Let Veer's investment be V and Neeraj's be N. (V * 9) / (N * 8) = 3/7. This allows finding the ratio of V to N. Statement B provides the absolute difference (N - V = 2000), which combined with the ratio allows solving for V.

Multiple choice

M, P and Q together started a business. M invested Rs. 6,500 for 6 months, P invested Rs. 8,400 for 5 months, and Q invested Rs. 10,000 for 3 months. M is working member for which he gets 5% of total profit extra and rest profit divided in ratio of their invested capitals. If the total profit is Rs. 7400, then find Q's share?

  1. Rs. 1900

  2. Rs. 2,100

  3. Rs. 3,200

  4. Rs. 3,600
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

M's effective investment = 6500*6 = 39000. P's = 8400*5 = 42000. Q's = 10000*3 = 30000. Ratio = 39:42:30 = 13:14:10. M gets 5% of 7400 = 370. Remaining profit = 7030. Q's share = (10/37) * 7030 = 10 * 190 = 1900.

Multiple choice

A and B start a business with Rs. 2500 and Rs. 3500 respectively. After 4 months C joins the business with Rs. 4500. At the end of the year, C gets Rs. 900 as his share of profit then find the difference between profit got by B and A?

  1. Rs. 600

  2. Rs. 300

  3. Rs. 1200

  4. Rs. 1500
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Investment ratios: A = 2500*12 = 30000, B = 3500*12 = 42000, C = 4500*8 = 36000. Ratio A:B:C = 30:42:36 = 5:7:6. C's share is 6 parts = 900, so 1 part = 150. Difference between B and A is 7 - 5 = 2 parts. 2 * 150 = 300.

Multiple choice

Rahul, Daman and Simran were business partners. In their business, Rahul invested Rs. 13,000 for 6 months, Daman invested Rs.16,800 for 5 months and Simran invested Rs. 20,000 for 3 months. But, to manage their business, they decided to make Rahul the working member in this business, for which he received 5% of the profit. If the total profit earned by them was Rs. 14,800, then which of the following represents Daman's share in the profit?

  1. Rs. 6,540

  2. Rs. 6,280

  3. Rs. 5,600

  4. Rs. 5,320

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

Ratio of investments: Rahul = 13000*6 = 78000, Daman = 16800*5 = 84000, Simran = 20000*3 = 60000. Ratio = 78:84:60 = 13:14:10. Rahul gets 5% of 14800 = 740. Remaining profit = 14060. Daman's share = (14/37) * 14060 = 14 * 380 = 5320.

Multiple choice

Three friends, Aman, Sachin and Pahul, started their company together. In the beginning of the year, Aman invested Rs. 70,000. Sachin invested Rs. 20,000 more than Aman and Pahul invested Rs. 40,000 more than Aman. If the profit earned by their company at the end of the year is Rs. 81,000, then what is the difference between the shares of Aman and Pahul?

  1. Rs. 12,000

  2. Rs. 10,000

  3. Rs. 6,000

  4. Rs. 5,000

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

Investments: Aman = 70k, Sachin = 90k, Pahul = 110k. Total ratio = 7:9:11. Total parts = 27. Profit = 81000. Each part = 3000. Difference between Aman (7 parts) and Pahul (11 parts) is 4 parts = 4 * 3000 = 12000.

Multiple choice

Mr. Sinha and Mr. Sood were running a business in partnership. In the beginning of 2018, Mr. Sinha invested an amount which was two thirds the amount invested by Mr. Sood. The time period for which Mr. Sinha invested his money was six times the time period for which Mr. Sood invested his money. If the profit received by Mr. Sood was Rs. 5,600, then what was the total profit made by them at the end of the year?

  1. Rs. 30,000

  2. Rs. 28,000

  3. Rs. 24,000

  4. Rs. 18,000

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

Profit is proportional to investment times time. Let Sood's investment be 3x and time be t. Sinha's investment is 2x and time is 6t. Ratio of profits = (2x * 6t) : (3x * t) = 12 : 3 = 4 : 1. Since Sood's profit (1 part) is 5600, total profit (5 parts) is 5 * 5600 = 28000.