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 started a business with the investment of Rs. 100000, Rs. 140000 and Rs. 200000 respectively. After 3-month, C left the business. 7 months after C left the business, B also left the business. B and C took their investments with them. At the end of the year, C received his share of profit as Rs. 1155. What is the total share of profits of A and B ?

  1. Rs. 6150

  2. Rs. 5005

  3. Rs. 4995

  4. Rs. 5555
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In partnership, profit ratio = investment × time. A invested Rs. 100000 for 12 months = 1200000. B invested Rs. 140000 for 10 months (left 7 months after C left at month 3) = 1400000. C invested Rs. 200000 for 3 months = 600000. Ratio = 1200000:1400000:600000 = 6:7:3. C's share = 3/16 of total. 3/16 × Total = 1155 → Total = 6160. A + B share = (6+7)/16 × 6160 = 13/16 × 6160 = 5005. Key is carefully tracking each partner's investment duration.

Multiple choice

P, Q and R start a business in partnership. Initially, P invests Rs 2100, while Q and R invest Rs 1700 each. After 3 months, P withdraws Rs 200, after 2 months of that Q invests more Rs 600. Find the share of P in the total profit of Rs.2850 at the end of the year.

  1. ₹ 975

  2. ₹ 825

  3. ₹ 750

  4. ₹ 675
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

P invests 2100 for 3 months, then 1900 for 9 months. Equivalent monthly capital: 2100×3 + 1900×9 = 23400. Q invests 1700 for 5 months, then 2300 for 7 months: 1700×5 + 2300×7 = 24600. R invests 1700×12 = 20400. Ratio 23400:24600:20400 = 39:41:34. P's share = (39/114)×2850 = 975.

Multiple choice

Ajay, Vijay and Jaya became partners in a business by investing money in the ratio of 3:6:8. If their investments are increased by 12%, 16% and 35% respectively, then what will be the ratio of their profits for one year?
  1. $13 : 17 : 19$
  2. $14 : 29 : 45$
  3. $15 : 31 : 47$
  4. $17 : 53 : 13$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original investment ratio = 3:6:8. After increases: 3(1.12) : 6(1.16) : 8(1.35) = 3.36 : 6.96 : 10.8. Simplify by dividing by 0.24: 14 : 29 : 45. In partnership, profit is distributed in proportion to investment, so the profit ratio equals the final investment ratio. The increases change the original ratio.

Multiple choice

Three parterners P, Q and R started a business after investing Rs.45000, Rs.70000 and Rs.90000. They get a profit of Rs.369000 at the end of two years. What is the share of profit for P? तीन साझेदार P, Q और R ने रू.45000, रू.70000 और रू.90000 का निवेश करके एक व्यापार आरम्भ करते हैं | दो वर्ष के अंत में रू.369000 का लाभ कमाया | इस लाभ में P का हिस्सा क्या है ?

  1. Rs.126000 रू.126000

  2. Rs.162000 रू.162000

  3. Rs.18000 रू.18000

  4. Rs.81000 रू.81000

  5. Rs.268000 रू.268000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In a partnership, profit is distributed in proportion to investment amounts when time periods are equal. Total investment ratio = 45000:70000:90000 = 9:14:18. Total parts = 9+14+18 = 41. P's share = (9/41) × 369000 = 9 × 9000 = 81000. Option D is correct.

Multiple choice

Priya and Karan invested Rs. 12000 and Rs. 4000 for a period of 2 year. After 2 year, they earned Rs. 96000. What will be the shares of Priya and Karan out of this earning? प्रिया और करण ने 2 साल की अवधि के लिए 12000 रुपये और 4000 रुपये का निवेश किया। 2 वर्ष बाद, उन्होंने 96000 रुपये कमाए। इस कमाई में से प्रिया और करण का हिस्सा क्या होगा?

  1. ₹ 70000 and ₹ 26000 ₹ 70000 और ₹ 26000

  2. ₹ 56000 and ₹ 40000 ₹ 56000 और ₹ 40000

  3. ₹ 60000 and ₹ 36000 ₹ 60000 and ₹ 36000

  4. ₹ 72000 and ₹ 24000 ₹ 72000 और ₹ 24000

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

Priya:Karan investment ratio = 12000:4000 = 3:1. Profits are shared in the same ratio for equal time periods. Total profit = 96000. Priya gets (3/4) × 96000 = 72000. Karan gets (1/4) × 96000 = 24000.

Multiple choice

Simran started a software business by investing Rs 50000 After six months Nanda joined her with a capital of Rs 80000 After 3 year they earned a profit of Rs 24500 What was Simran's share in the profit?

  1. Rs 9423

  2. Rs 10500

  3. Rs 12500

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

Simran's investment: 50000 * 36 months = 1,800,000. Nanda's investment: 80000 * 30 months = 2,400,000. Ratio = 18:24 = 3:4. Simran's share = (3/7) * 24500 = 3 * 3500 = 10500.

Multiple choice

Three friends $X, Y$ and $Z$ started a partnership business investing money in the ratio of $5 : 4: 2$ respectively for a period of $3$ years. What is the amount received by $X$ as the share in the total profit? I. Total amount invested in the business is Rs. $22,000$. II. Profit was distributed after a period of $2$ years. III. The average amount of profit earned per year is Rs. $ 2,750$.

  1. I and either II or III

  2. Any two of the three

  3. All I,II and III

  4. Either I or II and III

  5. Question cannot be answered even with the information in all three statements
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

A, B and C invest Rs. 2000, Rs. 3000 and Rs. 4000 respectively in a business. After one year, A removed his money but B and C continued for one more year. If the net profit after 2 years be Rs. 3200, then A's share in the profit is

  1. Rs. 1000

  2. Rs. 600

  3. Rs. 800

  4. Rs. 400
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Ratio of investments: A = 2000*1, B = 3000*2, C = 4000*2. Ratio = 2000 : 6000 : 8000 = 1 : 3 : 4. Total parts = 8. A's share = (1/8) * 3200 = 400.

Multiple choice

Shekhar started a business investing Rs. 25,000 in 1999. In 2000, he invested an additional amount of rs. 10,000 and Rajeev joined with him with an amount of Rs. 35,000. In 2001, Shekhar invested another additional amount of Rs. 10,000 and jatin joint them with an amount of rs. 35,000. That will be Rajeev's share in the profit of Rs. 1,50,000 earned at the end of 3 years from the start of the business in 1999.

  1. Rs. 45,000

  2. Rs. 50,000

  3. Rs. 70,000

  4. Rs. 75,000
Reveal answer Fill a bubble to check yourself
B Correct answer