Partnership Hard Quiz - Bank PO & LIC AAO Competitive Exams | Concept of Maths

Question 1

1. A, B, and C start a business. A invests \( \text{Rs. } 4,000 \) for the whole year. B invests \( \text{Rs. } 6,000 \) initially, and increases it by \( \text{Rs. } 2,000 \) at the end of 4 months. C invests \( \text{Rs. } 8,000 \) initially, but withdraws \( \text{Rs. } 2,000 \) at the end of 6 months. If the total profit at the year-end is \( \text{Rs. } 55,000 \), find B's share.

A) \( \text{Rs. } 20,000 \)

B) \( \text{Rs. } 22,000 \)

C) \( \text{Rs. } 24,000 \)

D) \( \text{Rs. } 26,000 \)

Answer

Correct Answer: B

Question 2

2. P and Q entered a partnership with \( \text{Rs. } 50,000 \) and \( \text{Rs. } 40,000 \). P is a working partner and receives \( 15\% \) of the total profit for managing the business. The remaining profit is distributed in the ratio of their investments. If Q's share is \( \text{Rs. } 13,600 \), what is the total profit?

A) \( \text{Rs. } 30,000 \)

B) \( \text{Rs. } 32,000 \)

C) \( \text{Rs. } 36,000 \)

D) \( \text{Rs. } 40,000 \)

Answer

Correct Answer: C

Question 3

3. A, B, and C started a business. The investment of A is 3 times the investment of B, and the investment of B is \( \frac{2}{3} \text{rd} \) of C's investment. At the end of the year, they earned a total profit of \( \text{Rs. } 6,600 \). Find A's share.

A) \( \text{Rs. } 3,000 \)

B) \( \text{Rs. } 3,600 \)

C) \( \text{Rs. } 4,200 \)

D) \( \text{Rs. } 4,800 \)

Question 4

4. X and Y start a business with \( \text{Rs. } 15,000 \) and \( \text{Rs. } 20,000 \). After 4 months, Z joins them with \( \text{Rs. } 22,500 \). If X withdraws his capital after 9 months, what is the share of Y in a total profit of \( \text{Rs. } 18,500 \) at the end of the year?

A) \( \text{Rs. } 6,000 \)

B) \( \text{Rs. } 7,500 \)

C) \( \text{Rs. } 8,000 \)

D) \( \text{Rs. } 9,000 \)

Answer

Correct Answer: C

Question 5

5. A and B invest in a business in the ratio \( 4:5 \). After 10 months, B leaves the business withdrawing his entire investment. In the first year, the business made a profit of \( \text{Rs. } 49,000 \). What is A's share of this profit?

A) \( \text{Rs. } 21,000 \)

B) \( \text{Rs. } 24,000 \)

C) \( \text{Rs. } 25,000 \)

D) \( \text{Rs. } 28,000 \)

Answer

Correct Answer: B

Question 6

6. M, N, and O start a business. M invests \( \frac{1}{3}\text{rd} \) of the total capital, N invests \( \frac{1}{4}\text{th} \), and O invests the rest. If the total profit at the end of the year is \( \text{Rs. } 18,000 \), find O's share.

A) \( \text{Rs. } 6,000 \)

B) \( \text{Rs. } 7,000 \)

C) \( \text{Rs. } 7,500 \)

D) \( \text{Rs. } 8,000 \)

Answer

Correct Answer: C

Question 7

7. Two partners invest \( \text{Rs. } 26,000 \) and \( \text{Rs. } 16,250 \) respectively. They agree that \( 40\% \) of the profit should be divided equally, and the rest in the ratio of their capitals. If one gets \( \text{Rs. } 900 \) more than the other, find the total profit.

A) \( \text{Rs. } 6,000 \)

B) \( \text{Rs. } 6,500 \)

C) \( \text{Rs. } 7,200 \)

D) \( \text{Rs. } 7,500 \)

Answer

Correct Answer: B

Question 8

8. A, B, and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months, and C puts 15 oxen for 3 months. If the rent of the pasture is \( \text{Rs. } 175 \), how much must C pay as his share of rent?

A) \( \text{Rs. } 40 \)

B) \( \text{Rs. } 45 \)

C) \( \text{Rs. } 50 \)

D) \( \text{Rs. } 60 \)

Answer

Correct Answer: B

Question 9

9. In a partnership, A invests \( \frac{1}{6}\text{th} \) of the capital for \( \frac{1}{6}\text{th} \) of the time, B invests \( \frac{1}{3}\text{rd} \) of the capital for \( \frac{1}{3}\text{rd} \) of the time, and C invests the rest of the capital for the whole time. If the total profit is \( \text{Rs. } 4,600 \), find B's share.

A) \( \text{Rs. } 600 \)

B) \( \text{Rs. } 800 \)

C) \( \text{Rs. } 1,000 \)

D) \( \text{Rs. } 1,200 \)

Answer

Correct Answer: B

Question 10

10. P, Q, and R are partners. P's capital is twice Q's capital, and Q's capital is three times R's capital. Total profit is \( \text{Rs. } 15,000 \). What is Q's share?

A) \( \text{Rs. } 3,000 \)

B) \( \text{Rs. } 4,500 \)

C) \( \text{Rs. } 6,000 \)

D) \( \text{Rs. } 7,500 \)

Answer

Correct Answer: B

Question 11

11. A and B started a business with investments of \( \text{Rs. } 24,000 \) and \( \text{Rs. } 32,000 \). After 4 months, A increased his investment by \( 25\% \). After another 4 months, B withdrew \( 25\% \) of his investment. At the end of the year, the total profit was \( \text{Rs. } 43,000 \). What is A's share?

A) \( \text{Rs. } 20,000 \)

B) \( \text{Rs. } 21,000 \)

C) \( \text{Rs. } 22,000 \)

D) \( \text{Rs. } 24,000 \)

Answer

Correct Answer: B

Question 12

12. A, B, and C enter into a partnership. A invests \( \text{Rs. } 8,000 \) for the whole year. B puts in \( \text{Rs. } 12,000 \) initially, increasing it to \( \text{Rs. } 16,000 \) at the end of 4 months. C puts in \( \text{Rs. } 16,000 \) initially, but withdraws \( \text{Rs. } 4,000 \) at the end of 9 months. Profit is \( \text{Rs. } 22,600 \). Find C's share.

A) \( \text{Rs. } 8,000 \)

B) \( \text{Rs. } 8,500 \)

C) \( \text{Rs. } 9,000 \)

D) \( \text{Rs. } 9,500 \)

Answer

Correct Answer: C

Question 13

13. X, Y, and Z invest \( \text{Rs. } 4,000 \), \( \text{Rs. } 5,000 \), and \( \text{Rs. } 6,000 \) respectively. X is an active partner and receives \( 25\% \) of the profit. The rest is divided among them in the ratio of their capitals. If X gets \( \text{Rs. } 200 \) less than Y and Z together, find the total profit.

A) \( \text{Rs. } 1,500 \)

B) \( \text{Rs. } 1,800 \)

C) \( \text{Rs. } 2,000 \)

D) \( \text{Rs. } 2,500 \)

Answer

Correct Answer: C

Question 14

14. A and B start a business with \( \text{Rs. } 50,000 \) and \( \text{Rs. } 20,000 \). A is the working partner and receives \( 20\% \) of the gross profit. B receives \( \text{Rs. } 8,000 \) as his total share. What is the total gross profit?

A) \( \text{Rs. } 30,000 \)

B) \( \text{Rs. } 35,000 \)

C) \( \text{Rs. } 40,000 \)

D) \( \text{Rs. } 45,000 \)

Answer

Correct Answer: B

Question 15

15. Three partners shared the profit in a business in the ratio \( 5 : 7 : 8 \). They had partnered for 14 months, 8 months, and 7 months respectively. What was the ratio of their investments?

A) \( 10 : 24 : 35 \)

B) \( 20 : 49 : 64 \)

C) \( 25 : 36 : 49 \)

D) \( 20 : 35 : 56 \)

Answer

Correct Answer: B

Question 16

16. P and Q invested in a business. The profit earned was divided in the ratio \( 2:3 \). If P invested \( \text{Rs. } 40,000 \) for 5 months, then what amount did Q invest for 6 months?

A) \( \text{Rs. } 40,000 \)

B) \( \text{Rs. } 45,000 \)

C) \( \text{Rs. } 50,000 \)

D) \( \text{Rs. } 60,000 \)

Answer

Correct Answer: C

Question 17

17. A, B, and C invest in a business. A invests \( \text{Rs. } 3,000 \) for 4 months, B invests \( \text{Rs. } 4,000 \) for 5 months, and C invests \( \text{Rs. } 6,000 \) for 6 months. If the difference between B and C's share of profit is \( \text{Rs. } 1,600 \), what is the total profit?

A) \( \text{Rs. } 6,400 \)

B) \( \text{Rs. } 6,800 \)

C) \( \text{Rs. } 7,200 \)

D) \( \text{Rs. } 7,600 \)

Answer

Correct Answer: B

Question 18

18. A sum of \( \text{Rs. } 45,000 \) was invested by A and B together. A left the business after 8 months. At the end of the year, their profits were equal. What was B's investment?

A) \( \text{Rs. } 15,000 \)

B) \( \text{Rs. } 18,000 \)

C) \( \text{Rs. } 20,000 \)

D) \( \text{Rs. } 24,000 \)

Answer

Correct Answer: B

Question 19

19. A starts a business with an initial investment of \( \text{Rs. } 12,000 \). B joins after \( X \) months with an investment of \( \text{Rs. } 16,000 \). At the end of the year, they share the profit equally. Find the value of \( X \).

A) \( 2 \)

B) \( 3 \)

C) \( 4 \)

D) \( 6 \)

Answer

Correct Answer: B

Question 20

20. A and B invest \( \text{Rs. } 3,000 \) and \( \text{Rs. } 4,000 \) respectively in a business. A receives \( \text{Rs. } 100 \) per month out of the profit as a remuneration for running the business. If the total profit at the end of the year is \( \text{Rs. } 3,300 \), find B's total share.

A) \( \text{Rs. } 900 \)

B) \( \text{Rs. } 1,200 \)

C) \( \text{Rs. } 1,500 \)

D) \( \text{Rs. } 1,800 \)

Answer

Correct Answer: B

Accepted Answer

Correct Answer: B

Mastering Partnership: Hard Level Quiz for Bank PO | Concept of Maths

Mastering Partnership: Hard Level Quiz for Bank PO | Concept of Maths

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4. X and Y start a business with \( \text{Rs. } 15,000 \) and \( \text{Rs. } 20,000 \). After 4 months, Z joins them with \( \text{Rs. } 22,500 \). If X withdraws his capital after 9 months, what is the share of Y in a total profit of \( \text{Rs. } 18,500 \) at the end of the year?

5. A and B invest in a business in the ratio \( 4:5 \). After 10 months, B leaves the business withdrawing his entire investment. In the first year, the business made a profit of \( \text{Rs. } 49,000 \). What is A's share of this profit?

6. M, N, and O start a business. M invests \( \frac{1}{3}\text{rd} \) of the total capital, N invests \( \frac{1}{4}\text{th} \), and O invests the rest. If the total profit at the end of the year is \( \text{Rs. } 18,000 \), find O's share.

7. Two partners invest \( \text{Rs. } 26,000 \) and \( \text{Rs. } 16,250 \) respectively. They agree that \( 40\% \) of the profit should be divided equally, and the rest in the ratio of their capitals. If one gets \( \text{Rs. } 900 \) more than the other, find the total profit.

8. A, B, and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months, and C puts 15 oxen for 3 months. If the rent of the pasture is \( \text{Rs. } 175 \), how much must C pay as his share of rent?

10. P, Q, and R are partners. P's capital is twice Q's capital, and Q's capital is three times R's capital. Total profit is \( \text{Rs. } 15,000 \). What is Q's share?

14. A and B start a business with \( \text{Rs. } 50,000 \) and \( \text{Rs. } 20,000 \). A is the working partner and receives \( 20\% \) of the gross profit. B receives \( \text{Rs. } 8,000 \) as his total share. What is the total gross profit?

15. Three partners shared the profit in a business in the ratio \( 5 : 7 : 8 \). They had partnered for 14 months, 8 months, and 7 months respectively. What was the ratio of their investments?

16. P and Q invested in a business. The profit earned was divided in the ratio \( 2:3 \). If P invested \( \text{Rs. } 40,000 \) for 5 months, then what amount did Q invest for 6 months?

17. A, B, and C invest in a business. A invests \( \text{Rs. } 3,000 \) for 4 months, B invests \( \text{Rs. } 4,000 \) for 5 months, and C invests \( \text{Rs. } 6,000 \) for 6 months. If the difference between B and C's share of profit is \( \text{Rs. } 1,600 \), what is the total profit?

18. A sum of \( \text{Rs. } 45,000 \) was invested by A and B together. A left the business after 8 months. At the end of the year, their profits were equal. What was B's investment?

19. A starts a business with an initial investment of \( \text{Rs. } 12,000 \). B joins after \( X \) months with an investment of \( \text{Rs. } 16,000 \). At the end of the year, they share the profit equally. Find the value of \( X \).

20. A and B invest \( \text{Rs. } 3,000 \) and \( \text{Rs. } 4,000 \) respectively in a business. A receives \( \text{Rs. } 100 \) per month out of the profit as a remuneration for running the business. If the total profit at the end of the year is \( \text{Rs. } 3,300 \), find B's total share.

Partnership Hard Quiz - Bank PO & LIC AAO Competitive Exams | Concept of Maths

3. A, B, and C started a business. The investment of A is 3 times the investment of B, and the investment of B is \( \frac{2}{3} \text{rd} \) of C's investment. At the end of the year, they earned a total profit of \( \text{Rs. } 6,600 \). Find A's share.

Mastering Partnership: Hard Level Quiz for Bank PO | Concept of Maths

Mastering Partnership: Hard Level Quiz for Bank PO | Concept of Maths

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4. X and Y start a business with \( \text{Rs. } 15,000 \) and \( \text{Rs. } 20,000 \). After 4 months, Z joins them with \( \text{Rs. } 22,500 \). If X withdraws his capital after 9 months, what is the share of Y in a total profit of \( \text{Rs. } 18,500 \) at the end of the year?

5. A and B invest in a business in the ratio \( 4:5 \). After 10 months, B leaves the business withdrawing his entire investment. In the first year, the business made a profit of \( \text{Rs. } 49,000 \). What is A's share of this profit?

6. M, N, and O start a business. M invests \( \frac{1}{3}\text{rd} \) of the total capital, N invests \( \frac{1}{4}\text{th} \), and O invests the rest. If the total profit at the end of the year is \( \text{Rs. } 18,000 \), find O's share.

7. Two partners invest \( \text{Rs. } 26,000 \) and \( \text{Rs. } 16,250 \) respectively. They agree that \( 40\% \) of the profit should be divided equally, and the rest in the ratio of their capitals. If one gets \( \text{Rs. } 900 \) more than the other, find the total profit.

8. A, B, and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months, and C puts 15 oxen for 3 months. If the rent of the pasture is \( \text{Rs. } 175 \), how much must C pay as his share of rent?

10. P, Q, and R are partners. P's capital is twice Q's capital, and Q's capital is three times R's capital. Total profit is \( \text{Rs. } 15,000 \). What is Q's share?

14. A and B start a business with \( \text{Rs. } 50,000 \) and \( \text{Rs. } 20,000 \). A is the working partner and receives \( 20\% \) of the gross profit. B receives \( \text{Rs. } 8,000 \) as his total share. What is the total gross profit?

15. Three partners shared the profit in a business in the ratio \( 5 : 7 : 8 \). They had partnered for 14 months, 8 months, and 7 months respectively. What was the ratio of their investments?

16. P and Q invested in a business. The profit earned was divided in the ratio \( 2:3 \). If P invested \( \text{Rs. } 40,000 \) for 5 months, then what amount did Q invest for 6 months?

17. A, B, and C invest in a business. A invests \( \text{Rs. } 3,000 \) for 4 months, B invests \( \text{Rs. } 4,000 \) for 5 months, and C invests \( \text{Rs. } 6,000 \) for 6 months. If the difference between B and C's share of profit is \( \text{Rs. } 1,600 \), what is the total profit?

18. A sum of \( \text{Rs. } 45,000 \) was invested by A and B together. A left the business after 8 months. At the end of the year, their profits were equal. What was B's investment?

19. A starts a business with an initial investment of \( \text{Rs. } 12,000 \). B joins after \( X \) months with an investment of \( \text{Rs. } 16,000 \). At the end of the year, they share the profit equally. Find the value of \( X \).

20. A and B invest \( \text{Rs. } 3,000 \) and \( \text{Rs. } 4,000 \) respectively in a business. A receives \( \text{Rs. } 100 \) per month out of the profit as a remuneration for running the business. If the total profit at the end of the year is \( \text{Rs. } 3,300 \), find B's total share.