Partnership problems
- 1. A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 35,000, A receives :
Options- A. 14700
- B. 15000
- C. 12000
- D. 13500 Discuss
Correct Answer: 14700
Explanation:
Let C = x. Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000 <=> 3x = 36000 <=>
x = 12000.
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
A's share = Rs. (35000 * 21/50 ) = Rs. 14,700.
- 2. A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit ?
Options- A. Rs. 8,640
- B. Rs. 9,850
- C. Rs. 10,000
- D. Rs. 11,220 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Rs. 10,000
Explanation:
Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12
= 36 : 36 : 48
= 6 : 6 : 8
But given that the annual profit of B is Rs. 3000
=> 6 ratio = 3000
Then for the total annual profit of partners is
20 ratio = 3000 x 20/6 = 10,000.
- 3. A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?
Options- A. Rs. 7500
- B. Rs. 8000
- C. Rs. 8500
- D. Rs. 9000 Discuss
Correct Answer: Rs. 9000
Explanation:
Let B's capital be Rs. x.
Then,
=> 14x = 126000
=> x = 9000.
- 4. P and Q started a business investing Rs, 85,000 and Rs. 15,000 respectively. In what ratio the profit named after 2 years bo divided between P and Q respectively ?
Options- A. 17:23
- B. 17:3
- C. 17:33
- D. 3:4 Discuss
Correct Answer: 17:3
Explanation:
P : Q = 85000 : 15000 = 86 : 15 = 17 : 3 .
- 5. A and B started a business investing the money in ratio 4:6, after 6 months B withdraw his investment and C joins him with twice the amount of B. At the end of the year total profit is Rs.3315. Find share of C ?
Options- A. Rs. 450
- B. Rs. 1020
- C. Rs. 765
- D. Rs. 1530 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Rs. 1530
Explanation:
Ratio of investments of A, B & C =>
Share of C = 1530
Share of B = 765
Share of A = 1020
- 6. A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were :
Options- A. 150
- B. 160
- C. 170
- D. 180 Discuss
Correct Answer: 160
Explanation:
A : B : C = 7 : 8 : 11.
Hire charges paid by B = Rs. (520 * 8/26) = Rs. 160.
- 7. A certain amount is divided among P, Q and R in the ratio of 3 : 7 : 6 respectively. If the difference between share of P and Q is Rs. 2700, what is R's share?
Options- A. Rs. 4050
- B. Rs. 2121
- C. Rs. 5040
- D. Rs. 3550 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Rs. 4050
Explanation:
Let the ratio amount be 'p'
7p - 3p = 2700
4p = 2700
p = 675
R's Share = 675 × 6 = Rs. 4050
- 8. A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O?s share in the amount?
Options- A. 1564
- B. 1600
- C. 1632
- D. 1714 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 1600
Explanation:
Let O's share = Rs. P
=> N's share =
M's share =
- 9. A,B and C enter into a partnership in the ratio 72:43:65 . After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is :
Options- A. Rs. 4000
- B. Rs. 6000
- C. Rs. 9000
- D. Rs. 3000 Also asked in: CAT, Bank PO
Correct Answer: Rs. 4000
Explanation:
Given ratio of initial investments = = 105 : 40 : 36.
Let the initial investments be 105x, 40x and 36x.
= 1680x : 480x : 432x = 35 : 10 : 9.
Hence, B's share = = Rs. 4000.
- 10. Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments?
Options- A. 4:6:8
- B. 4:7:8
- C. 4:8:16
- D. 4:9:16 Discuss
Correct Answer: 4:9:16
Explanation:
Let their investments be Rs. x for 12 months, Rs. y for 8 months and Rs. z for 6 months respectively.
Then, 12x : 8y : 6z = 4 : 6 : 8
Now, 12x/8y = 4/6 <=> 9x=4y <=> y=9x/4
And, 12x/6z = 4/8 <=> 4x=z <=> z=4x
Therefore, x : y: z = x : 9x/4: 4x = 4 : 9 : 16
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