Partnership problems
- 1. Dileep started a business with a capital of Rs. 8000. After six months, Narender joined him with some investment. If at the end of the year each of them gets equal amount as profit, how much did Narender invest in the business?
Options- A. 24000
- B. 16000
- C. 12000
- D. 32000 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 16000
Explanation:
Given Dileep and Narender started a business.
Dileep invested 8000 for 12 months
Let Narender invested 'p' for 6 months
At the end of the year, their profit ratio is 1 : 1.
Hence,
8000 x 12 : p x 6
p : 16000
p/16000 = 1/1
=> p = 16,000
Hence, Narender invested amount is Rs. 16,000.
- 2. A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A?s share, 4 times B?s share and 7 times C?s share are all equal. The share of C is ?
Options- A. 64
- B. 76
- C. 84
- D. 98 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 84
Explanation:
Given total sum = Rs. 427
And given that 3 times A?s share, 4 times B?s share and 7 times C?s share are all equal.
=> 3A = 4B = 7C
But given
=> A + B + C = 427
Now express A and B in terms of C i.e
=> (7C/3) + (7C/4) + C = 427
=> C = 84
- 3. A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ?
Options- A. Rs. 820
- B. Rs. 830
- C. Rs. 840
- D. Rs. 850 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO, IT Trainer
Correct Answer: Rs. 830
Explanation:
Let the total amount in the partnership be 'x'.
Then A's share = x/3
B's share = x/4
C's share = x/5
D's share = x - (x/3 + x/4 +x/5) = 13x/60
A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13
A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.
- 4. The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?
Options- A. 11 months
- B. 9 months
- C. 7 months
- D. 10 months Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 10 months
Explanation:
7x5: 5xk = 7:10
k = 10 months
- 5. A, B and C started a company where their initial investments 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 B's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit of the company ?
Options- A. Rs. 9500
- B. Rs. 10600
- C. Rs. 7500
- D. Rs. 8900 Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: Rs. 9500
Explanation:
Given initial investments ratio = 2 : 3 : 4
At the end of 6 months, A invested an amount such that his total capital became equal to B's initial capital investment
i.e, upto 6 months A's investment is 2 and after 6 months his invstment is 3 = B's investment
Now, Ratio of investment for one year
=> A : B : C = (2×6 + 3×6) : (3×12) : (4×12)
= 30 : 36 : 48
= 5 : 6 : 8
But given B's profit = 3000
=> 6 ratio = 3000
For total => 19 ratio = Rs. 9500.
- 6. Munna and Chinna are partners in a firm out of which Munna is sleeping partner and Chinna is working partner. Munna invests Rs. 1,40,000 and Chinna invests Rs. 80,000. Chinna receives 14.5% of profit for managing the business and the rest is shared between both in ratio of their investments. Munna's share in the profit of Rs. 19600 is ?
Options- A. Rs. 9580.25
- B. Rs. 10600
- C. Rs. 10664.15
- D. Rs. 11060.48 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Rs. 10664.15
Explanation:
Profit received by Chinna as working partner = 14.5% of Rs. 19600
= 14.5x19600/100 = Rs. 2842
Balance in profit = 19600-2842 = Rs. 16758
Ratio of investment of Chinna & Munna = 80,000 : 1,40,000 = 4 : 7
Hence share of Chinna in investment = 4x16758/100 = Rs. 6093.85
Therefore, Share of Munna = 19600 - 2842 - 6093.85 = Rs. 10664.15
- 7. Rs 60500 is divided among A, B and C such that A receives 2/9 as much as B and C together and B receives 3/7 of as much as A and C together. What is the share of C (in Rs)?
Options- A. 29850
- B. 30120
- C. 31350
- D. 37250 Also asked in: Bank Exams
Correct Answer: 31350
- 8. A and B started a business after investing Rs. 12,000 and Rs. 14,400 respectively. At the end of the year B gets 12% of the total profit as management fees and the rest amount is distributed between both the partners in the ratio of their investments. If total annual profit is Rs. 7,500, then find the difference between their profits.
Options- A. Rs. 1250
- B. Rs. 600
- C. Rs. 900
- D. Rs. 1500 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: Rs. 1500
- 9. Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ?
Options- A. 500
- B. 600
- C. 450
- D. 550 Also asked in: AIEEE, Bank Exams, Bank Clerk, Bank PO
Correct Answer: 500
Explanation:
Let the lent at 5% be 'A'
(A x 5 x 1)/100 + [(1500 - A)x 6 x 1]/100 = 85
5A/100 + 90 ? 6A/100 = 85
A/100 = 5
=> A = 500
- 10. A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ?
Options- A. 8 months
- B. 6 months
- C. 7 months
- D. 9 months Also asked in: GRE, GATE, CAT, Bank Exams, Bank PO, Bank Clerk, Analyst
Correct Answer: 8 months
Explanation:
Suppose B joined for x months.
Given profit is divided in the ratio 3:1. Then,
--> x = 8 months.
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