Partnership problems
- 1. A and B started a business jointly A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is :
Options- A. 22000
- B. 28000
- C. 32000
- D. 36000 Discuss
Correct Answer: 28000
Explanation:
Suppose B invested Rs. x for y months. Then, A invested Rs. 3x for 2y months.
So, A : B = (3x * 2y) : (x * y) = 6xy : xy = 6 : 1.
B's profit : Total profit = 1 : 7.
Let the total profit be Rs. x Then, 1/7 = 4000/x or x = 28000.
- 2. A and B start a business jointly. A invests Rs. 16,000 for 8 months and B remains in the business for 4 months, Out of total profit, B claims - of the profit. How much money was contributed by B ?
Options- A. 12000
- B. 12800
- C. 13000
- D. 14500 Discuss
Correct Answer: 12800
Explanation:
Let the total profit be Rs. x. Then, B = 2x/7 and A = (x - 2x /7) = 5x / 7.
So, A : B = 5x/7 : 2x/7 = 5 : 2.
Let B s capital be Rs. y. Then, (16000 * 8) / ( y * 4) = 5/2 <=> (16000 * 8 * 2) / (5 * 4) = 12800..
- 3. Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What 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?
Options- A. Rs. 45,000
- B. Rs. 50,000
- C. Rs. 70,000
- D. Rs. 75,000 Discuss
Correct Answer: Rs. 50,000
Explanation:
Sekar: Rajeev: jatin = (25000×12+35000×12+45000×12):(35000×24) : (35000×12)
= 1260000 : 840000 : 420000
= 3 : 2 : 1.
Rajeev's Share =Rs.(150000×2/6)
=Rs.50000.
- 4. Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?
Options- A. 10110
- B. 10500
- C. 12000
- D. 13000 Discuss
Correct Answer: 10500
Explanation:
Simran : Nanda = (50000 * 36) : (80000 * 30) = 3 : 4.
Simran's share = Rs. ( 24500 * 3/7) = Rs. 10500.
- 5. A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?
Options- A. 144
- B. 169
- C. 225
- D. 339 Discuss
Correct Answer: 144
Explanation:
Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.
Let their initial investments be 6x, 2x and 3x respectively.
A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.
B's share = Rs. (378*8/21) = Rs. 144.
- 6. A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
Options- A. 2 : 3 : 5
- B. 3 : 4 : 7
- C. 5 : 6 : 4
- D. 1 : 3 : 5 Discuss
Correct Answer: 3 : 4 : 7
Explanation:
A : B : C = (40000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)
= 144 : 192 : 336
= 3 : 4 : 7.
- 7. Rajeev start a business with Rs. 10000, Deepu joins him after 2 month with 20% more investment than Rajeev, after 2 month Shakti joins him with 40% less than Deepu. If the profit earned by them at the end of the year is equal to the twice of the difference between investment of Rajeev and ten times the investment of Shakti. Find the profit of Rajeev ?
Options- A. 50000
- B. 48000
- C. 38000
- D. 40000 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 38000
Explanation:
Here from the given information,
The ratio of investments of Rajeev, Deepu & Shakti is
R : D : S = (10000 × 12) : (12000 × 10) : (7200 × 8)
= 25 : 25 : 12
Now the Profit = 2 × (72000-10000) = 124000
Share of Rajeev = 124000 x 25/62 = 48000
Profit of Rajeev = 48000 - 10000 = 38000
- 8. Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ?
Options- A. 11 : 13 : 15
- B. 11 : 13 : 17
- C. 12 : 17 : 18
- D. 12 : 15 :16 Discuss
Correct Answer: 12 : 15 :16
Explanation:
Aman : Rakhi : Sagar = (70000 x 36) : (105000 x 30) : (140000 x 24) = 12 : 15 : 16.
- 9. Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of Rs. 31,570, Reena's share is :
Options- A. 12628
- B. 18245
- C. 11235
- D. 10253 Discuss
Correct Answer: 12628
Explanation:
Ratio of their shares = (35000 * 8) : (42000 * 10) = 2 : 3.
Reena's share Rs. 31570 * (2 / 5) = Rs. 12628.
- 10. X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :
Options- A. 20000
- B. 40000
- C. 60000
- D. 80000 Discuss
Correct Answer: 60000
Explanation:
Suppose Y invested Rs. y. Then 40000/y = 2/3 or y = 60000 .
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