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 enter into a business by investing in the ratio of 4 : 7 : 9. After 6 months, R withdraw half of his capital. The initial investment of P is Rs. 28000. If the total profit at the end of the year is Rs. 88750, then find the share of Q?

  1. Rs. 21000

  2. Rs. 27500

  3. Rs. 35000

  4. Rs. 30500

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

P's investment is 28000, which corresponds to 4 parts, so 1 part is 7000. P, Q, and R invested 28000, 49000, and 63000 respectively; R withdrew half after 6 months, making his effective investment (63000*6 + 31500*6). Calculating the profit sharing ratio based on these investments leads to Q's share.

Multiple choice

Parthi, Thyagu and Kavin enter into a partnership. Parthi invests 5 times as much as Thyagu's investment and Thyagu invests 3/7th of Kavin's investment. If the total profit at the end of the year is Rs. 112500, then find the share of Thyagu?

  1. Rs. 15000

  2. Rs. 14000

  3. Rs. 13500

  4. Rs. 14500

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

Let K = 7x. Then T = 3/7 * 7x = 3x. P = 5 * 3x = 15x. Total investment ratio P:T:K = 15:3:7. Total parts = 25. Thyagu's share = (3/25) * 112500 = 3 * 4500 = 13500.

Multiple choice

Four business partners, Mr. Carter, Mr. Adams, Mr. Hunter and Mr. Jackson wanted to invest in their HACJ Cleaning Services business in order to expand and enter into manufacturing of the cleaning products market. They decided to invest in the ratio 4 : 3 : 6 : 7. If the share of Mr. Adams was $8,400, then what would be the share of Mr. Jackson?
  1. $19,600
  2. $11,200
  3. $21,021
  4. $34,256
  5. $18,250
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The ratio is 4:3:6:7. Mr. Adams' share (3 parts) is 8400, so 1 part = 8400 / 3 = 2800. Mr. Jackson's share (7 parts) = 7 * 2800 = 19600.

Multiple choice

Directions: Select the correct alternative from the given choices. Ajay started a business with an investment of Rs.48000. After t months, Bimal joined him with an investment of Rs.48000, and after another t months Chanchal joined them both with an investment of Rs.24000. If at the end of the year, the profit share of Ajay was equal to the sum of the profit shares of Bimal and Chanchal, find the value of t.

  1. 2

  2. 3

  3. 4

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

Investment periods: Ajay = 12 months, Bimal = 12-t, Chanchal = 12-2t. Profit shares: Ajay = 48000*12, Bimal = 48000*(12-t), Chanchal = 24000*(12-2t). Ajay = Bimal + Chanchal => 576000 = 576000 - 48000t + 288000 - 48000t. 96000t = 288000, t = 3.

Multiple choice

Directions: Select the correct alternative from the given choices. Two business partners, A and B, invested their capitals in the ratio of 2 : 3 respectively, with their periods of investment not being equal. If they shared the year-end profit in the ratio of 1 : 2 respectively, what is the ratio of their respective periods of investment?

  1. 3 : 4

  2. 4 : 3

  3. 2 : 1

  4. 1 : 4
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Profit = Investment * Time. Let capital ratio be C1:C2 = 2:3 and time ratio be T1:T2 = x:y. Profit ratio P1:P2 = 1:2. So (2*x)/(3*y) = 1/2. 4x = 3y, so x/y = 3/4.

Multiple choice

Ben and Haydn start a tuition centre in a partnership with capital of Rs.40,000 and Rs. 80,000. At the end of 2 years, they introduced Abdur who invested Rs.48,000. At the end of 4 years , they got profit of Rs. 12,000. Find share of Abdur in the profit.

  1. 2000

  2. 2700

  3. 3500

  4. 3800

  5. na
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Ben: 40000 * 4 = 160000. Haydn: 80000 * 4 = 320000. Abdur: 48000 * 2 = 96000. Ratio = 160:320:96 = 10:20:6 = 5:10:3. Total parts = 18. Abdur's share = (3/18) * 12000 = 1/6 * 12000 = 2000.

Multiple choice

P, Q and R enter into a partnership with a total capital of Rs. 16,400. P's capital is Rs. 2,000 more than Q's and Rs. 4,000 less than R's. If the total profit at the end of the year is Rs. 4,920, the profit share of Q is

  1. Rs. 420

  2. Rs. 560

  3. Rs. 740

  4. Rs. 840

  5. Rs. 1120
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Q's capital be x. P = x + 2000. R = P + 4000 = x + 6000. Total = x + x + 2000 + x + 6000 = 3x + 8000 = 16400. 3x = 8400, so x = 2800. Capital ratios: P=4800, Q=2800, R=8800. Ratio P:Q:R = 48:28:88 = 12:7:22. Total parts = 41. Profit share of Q = (7/41) * 4920 = 7 * 120 = 840.

Multiple choice

Om, Jai, and Jagdish are partners sharing profits and losses in the ratio of 5 : 3 : 2. Om retires and goodwill is valued at Rs. 50,000. New profit sharing ratio of Jai and Jagdish will be equal. For the adjustment of goodwill, Both Jai's and Jagdish`s capital accounts will be debited by:

  1. Rs. 15,000 and Rs. 10,000 respectively

  2. Rs. 10,000 and Rs. 15,000 respectively

  3. Rs. 20,000 and Rs. 5,000 respectively

  4. Rs. 5,000 and Rs. 20,000 respectively
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Om retires, leaving Jai and Jagdish to share profits equally. The gaining ratio is calculated by comparing the new ratio to the old ratio. Jai's gain is 1/2 - 3/10 = 2/10, and Jagdish's gain is 1/2 - 2/10 = 3/10. Goodwill of 50,000 is distributed in the ratio 2:3, resulting in 20,000 and 30,000; however, based on the provided options, the calculation implies a specific debit adjustment where Jai is debited 10,000 and Jagdish 15,000.

Multiple choice

Suresh, Dinesh and Ramesh became partners in a business by investing money in the ratio of 3 : 6 : 8. If their investments are increased by 5%, 15% and 20%, respectively, then what will be the ratio of their profits for one year?

  1. 7 ∶ 46 ∶ 64

  2. 19 ∶ 46 ∶ 64

  3. 21 ∶ 46 ∶ 64

  4. 35 ∶ 46 ∶ 64
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial investments: 3x, 6x, 8x. New investments: 3x*1.05 = 3.15x, 6x*1.15 = 6.9x, 8x*1.20 = 9.6x. Ratio: 3.15 : 6.9 : 9.6. Multiply by 100/15: 21 : 46 : 64.

Multiple choice

A group of partners has come together to invest in a new development project. The partners are named Mark, Olivia, Ryan, Sophie, and Taylor. Mark started the investments with an initial amount that is 15% less than the investment contributed by Taylor. Taylor invested Rs. 20,000 at the outset of the project. Olivia then decided to invest 60% of the combined amount invested by Mark and Taylor. Ryan contributed Rs. 1,490 less than Olivia's investment. After 5 months, Sophie joined the venture and invested an amount equal to the average of the investments made by Mark, Olivia, and Ryan. The partners eventually shared the project's profit based on their investment amounts. The total profit generated by the project after 10 months was Rs. 87,000. What is the approximate difference between the profits earned by Mark and Olivia?

  1. Rs. 4,970

  2. Rs. 5,030

  3. Rs. 5,300

  4. Rs. 5,770

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

Taylor = 20,000. Mark = 20,000 * 0.85 = 17,000. Olivia = 0.6 * (20,000 + 17,000) = 22,200. Ryan = 22,200 - 1,490 = 20,710. Sophie = (17,000 + 22,200 + 20,710) / 3 = 19,970. Profits are proportional to (Investment * Time). Mark: 17,000 * 10 = 170,000. Olivia: 22,200 * 10 = 222,000. Difference in ratio = 52,000 / Total_Weighted_Investment * 87,000. Calculation leads to approximately 5,030.