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

A, B and C invest amount of Rs. 40000, Rs. 50000 and Rs.60000 respectively to start a business. At the end of the year the profit is distributed in the ratio of their investments. If B’s share of profit is Rs. 17850, what is the total profit earned ?

  1. Rs. 57120

  2. Rs. 53550

  3. Rs. 54320

  4. Can’t be determined

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

Investment ratio A:B:C = 40000:50000:60000 = 4:5:6. Total ratio parts = 4+5+6 = 15. B's share (5 parts) = Rs. 17850, so 1 part = 17850/5 = Rs. 3570. Total profit (15 parts) = 15 × 3570 = Rs. 53550.

Multiple choice

A sum of Rs 1462 is divided among x, y and z such that x received 25\% more than y and y received 25\% less than z. What is z's share in the amount?

  1. Rs 564

  2. Rs 554

  3. Rs 504

  4. Rs 594

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

None of these is correct. Let z = 4 units. Then y = 75% of z = 3 units (25% less). And x = 125% of y = 3.75 units (25% more). Total = 4 + 3 + 3.75 = 10.75 units = Rs 1462. So 1 unit = 1462/10.75 = 136. Z's share = 4 × 136 = Rs 544. Since 544 is not in the options, 'None of these' is correct.

Multiple choice

A started a business with Rs.26000. After 3 months B joined him with Rs.16000. After some more time C joined them with Rs.25000. At the end of the year, out of a total profit of Rs.15453, C gets Rs.3825 as his share. How many months after B joined the business did C join?

  1. 4 months

  2. 6 months

  3. 5 months

  4. 3 months

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

A invests Rs.26000 for 12 months, B invests Rs.16000 for (12-3)=9 months. Let C invest Rs.25000 for t months. Profit sharing ratio = A : B : C = 26000×12 : 16000×9 : 25000×t = 312000 : 144000 : 25000t = 312 : 144 : 25t. Total profit = 15453, C's share = 3825. So (25t)/(312+144+25t) × 15453 = 3825. 25t/(456+25t) × 15453 = 3825. 25t/(456+25t) = 3825/15453 = 5/20.21? Actually 15453/3825 = 4.04. Let's solve: 3825×(456+25t) = 15453×25t. 1744500 + 95625t = 386325t. 1744500 = 290700t. t = 1744500/290700 = 6. So C invested for 6 months. B joined after 3 months, so B joined at month 3. If C invested for 6 months and started at the end, C joined at month 12-6 = 6. Time after B joined = 6 - 3 = 3 months. The claimed answer D is correct.

Multiple choice

Ratan and Jatin started a business investing Rs. 150000 and Rs. 250000. At the end of the year, the profit was Rs. 160000. What is Jatin's share?

  1. Rs. 100000

  2. Rs. 60000

  3. Rs. 80000

  4. Rs. 110000

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

Profit is shared in proportion to investments. Ratan:Jatin = 150000:250000 = 3:5. Total parts = 8. Jatin's share = (5/8) × 160000 = 100000. This is the standard ratio-based profit distribution formula for partnerships with investments held for equal time periods.

Multiple choice

A starts a business with Rs.30,000 and 4 months later B joins the business with Rs.40,000. If the total profit is Rs.5100 at the end of the year, find the share of A in the total profit?
  1. $Rs.300$
  2. $Rs.900$
  3. $Rs.2700$
  4. $Rs.6000$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A's effective investment = 30000 × 12 months = 360000. B joins after 4 months, so invests for 8 months: 40000 × 8 = 320000. Profit ratio A:B = 360000:320000 = 9:8. A's share = (9/17) × 5100 = 2700. Option C matches.

Multiple choice

Ratna and Pawni started a business investing Rs. 25000 and Rs. 35000 respectively. After one year Agrima joined the business investing Rs. 55000. Percentage of Pawni's share is what percent of the earned profit at the end of two years?

  1. 31%

  2. 33%

  3. 36%

  4. 40%

  5. 43%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Profit is shared in proportion to investment × time. Ratna: 25000 × 2 = 50000; Pawni: 35000 × 2 = 70000; Agrima: 55000 × 1 = 55000. Total ratio units = 175000. Pawni's share = 70000/175000 = 0.4 = 40%.

Multiple choice

Ashwini, Deepika and Reshma started a business after investing some money. Ashwini received (\frac{1}{10}) of the profit and remaining is divided between Deepika and Reshma in the ratio of 1.25 : 1. If the difference between the shares of Reshma and Ashwini is Rs. 8340, what is Deepika share?

  1. Rs. 11120

  2. Rs. 27800

  3. Rs. 13900

  4. Rs. 14600

  5. Rs. 14800
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total profit = P. Ashwini gets P/10. Remaining profit = 9P/10, divided between Deepika and Reshma in ratio 1.25:1 = 5:4. Deepika gets (5/9)×(9P/10) = P/2, Reshma gets (4/9)×(9P/10) = 2P/5. Difference: 2P/5 - P/10 = 8340, so 4P/10 - P/10 = 8340, 3P/10 = 8340, P = 27800. Deepika's share = 27800/2 = 13900.

Multiple choice

Ranu, Jyoti and Neetu started a business investing Rs. 45000, Rs. 70000 and Rs. 90000 respectivley. At the end of 2 years, profit was Rs. 164000. What is Jyoti's share?

  1. Rs. 56000

  2. Rs. 36000

  3. Rs. 72000

  4. Rs. 64000

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

Total investment = 45000 + 70000 + 90000 = 205000. Ratio of investments = 45000:70000:90000 = 9:14:18. Sum of ratio = 41. Jyoti's share = (14/41) × 164000 = 14 × 4000 = 56000. Since time period is same (2 years) for all, profit is distributed in investment ratio.

Multiple choice

Karan starts a business by investing Rs. 60,000. Six months later Shirish joins him by investing Rs. 1,00,000. At the end of one year from the commencement of the business, they earn a profit of Rs. 151800. What is Shirish's share in the profit?

  1. 65000

  2. 69000

  3. 70000

  4. 71000

  5. 75000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit is shared in proportion to investment × time. Karan invested Rs. 60,000 for 12 months = 720,000. Shirish invested Rs. 1,00,000 for 6 months = 600,000. Total ratio = 1,320,000. Shirish's share = (600,000/1,320,000) × 151,800 = (5/11) × 151,800 = 69,000.

Multiple choice

Prince started a business investing Rs 30,000. After 8 months Nitish joined with a capital of Rs 45,000. At the end of the year the total profit earned was Rs 90,000. What is the share of Nitish?

  1. Rs 38000

  2. Rs 36000

  3. Rs 35000

  4. Rs 30000

  5. Rs 27000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Prince's capital-months: 30000 × 12 = 360000. Nitish joined after 8 months, so invested for 4 months: 45000 × 4 = 180000. Ratio = 360000:180000 = 2:1. Total profit = 90000. Nitish's share = (1/3) × 90000 = 30000.

Multiple choice

The questions 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 - Ram and Shyam are in a partnership business for one year. At the end of the year, a profit of Rs. 20000 was earned. What is Ram’s share ? I. Ram invested Rs. 50,000 and started the business. II. Shyam joined him after 4 months with capital equal to 137.5% of that of Ram.

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

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

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

  4. statement I and II together are not sufficient.

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

To find Ram's profit share, we need both his investment amount and duration, plus Shyam's investment and duration. Statement I gives Ram's investment (Rs. 50,000) but nothing about Shyam. Statement II gives Shyam's timing (after 4 months) and relative capital (137.5% of Ram's), but depends on knowing Ram's capital from statement I. Neither statement alone is sufficient.

Multiple choice

A and B started a business in partnership. A invested Rs.2000/- for six months and B invested Rs.1500 for 8 months. What is the share of A in total profit of Rs.510?
  1. $Rs.250$
  2. $Rs.255$
  3. $Rs.275$
  4. $Rs.280$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Partnership profit sharing is based on investment × time. A's share: (2000 × 6) / [(2000 × 6) + (1500 × 8)] × 510 = 12000 / (12000 + 12000) × 510 = 12000/24000 × 510 = 0.5 × 510 = Rs. 255. B has equal capital-months despite investing less for longer.

Multiple choice

A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 190500, what amount have C at the end of year?

  1. Rs. 86000

  2. Rs. 90000

  3. Rs. 93000

  4. Rs. 97000

  5. Rs. 99000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial investments: A = 2x, B = 3x, C = 5x for first 2 months. After 2 months: A increases by 20%, so new A = 2x × 1.2 = 2.4x for remaining 10 months. B increases by 10%, so new B = 3x × 1.1 = 3.3x for remaining 10 months. C continues at 5x for all 12 months. Profit ratio = (2x × 2 + 2.4x × 10) : (3x × 2 + 3.3x × 10) : (5x × 12) = (4x + 24x) : (6x + 33x) : 60x = 28x : 39x : 60x = 28 : 39 : 60. Total profit = Rs 190500. C's share = (60/127) × 190500 = 60 × 1500 = Rs 90000.

Multiple choice

A, B and C are partners in a business. In certain year A got 1/3rd of the profit, and B 1/4th of the profit and C got Rs.5000. What amount does A got as a profit (in Rs.).

  1. 3000

  2. 2000

  3. 4000

  4. 2500

  5. 5000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total profit = P. A gets 1/3 P, B gets 1/4 P, so C gets P - (1/3 P + 1/4 P) = P - (7/12 P) = 5/12 P. Given C got Rs. 5000, so 5/12 P = 5000, therefore P = 5000 * 12/5 = Rs. 12000. A's share = 1/3 * 12000 = Rs. 4000. Option C is correct.

Multiple choice

Satyendra and Rakesh started a business investing Rs. 90000 and Rs. 105000 respectively. After 4 months Jai joined the business investing Rs. 125000 while Rakesh withdrew Rs. 20000. At the end of year total profit was Rs. 47700. What is Jai's share ?

  1. Rs. 16500

  2. Rs. 15000

  3. Rs. 16200

  4. Rs. 18000

  5. Rs. 18200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Jai's share is calculated based on his capital contribution and time period. Investment ratios: Satyendra contributed Rs. 90000 for 12 months = 1080000, Rakesh contributed Rs. 105000 for 4 months then Rs. 85000 for 8 months = 1100000, and Jai contributed Rs. 125000 for 8 months = 1000000. Total ratio units = 3180000. Jai's share of profit = (1000000/3180000) × 47700 = Rs. 15000.