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- Question
- A, B and C do certain investments for time periods in the ratio of 2 : 1 : 8. At the and of the business term, they received the profits in the ratio of 3 : 4 : 2. Find the ratio of investments of A, B and C.
Options- A. 6 : 16 : 1
- B. 2 : 5 : 1
- C. 6 : 17 : 1
- D. 6 : 19 : 3
- Correct Answer
- 6 : 16 : 1
ExplanationLet required ratio of investments be
I1 : I2 : I3.
Ratio of investments = Ratio of profits
2I1 : I2 : 8I3 = 3 : 4 : 2
Taking first two terms of the ratio
(2I1) / I2 = 3/4
? I1 / I2 = 3/8 = 6/16
? I1 : I2 = 6 : 16
Taking last two terms of the ratio ,
I2 / (8I3) = 4/2
? I2/I3 = 16/1
? I2 : I3 = 16 : 1
? I1 : I2 : I3 = 6 : 16 : 1 - 1. A and B together start a business by investing in the ratio of 4 : 3. If 9% of the total profit goes to charity and A's share is ? 1196, find the total profit.
Options- A. ? 2300
- B. ? 4435
- C. ? 2093
- D. ? 2700 Discuss
- 2. A and B invest in a business in the ratio of 3 : 2. If 5% of the total profit goes to a charity and A's share is ? 4275, then what will be the total profit?
Options- A. ? 8000
- B. ? 7700
- C. ? 7500
- D. ? 6500 Discuss
- 3. A. B and C together start a business. B invests of 1/6 of the total capital while investments of A and C are equal. If the annual profit on this investment is ? 33600, find the difference between the profits of B and C.
Options- A. ? 8400
- B. ? 7200
- C. ? 6000
- D. ? 9600 Discuss
- 4. A, B and C enter into a partnership. A invests some amount at the beginning, B invests double the amount of A after 6 months and C invests thrice the amount of A after 8 months. If the annual profit be ? 54000, find the C's share.
Options- A. ? 3000
- B. ? 18000
- C. ? 15000
- D. ? 21000 Discuss
- 5. P, Q and R hire a meadow for ? 2920. P puts 10 cows for 20 days, Q puts 30 cows for 8 days and R puts 16 cows for 9 days. Find the rent paid by R.
Options- A. ? 735
- B. ? 820
- C. ? 575
- D. ? 720 Discuss
- 6. A and B started a business by investing ? 20000 and ? 25000, respectively. After 4 months B left and C joined by investing ? 15000. At the end of the year, there was a profit of ? 23000 What is C's share?
Options- A. ? 8000
- B. ? 9000
- C. ? 6000
- D. ? 12000 Discuss
- 7. A and B started a business by investing ? 35000 and ? 20000, respectively. After 5 months B left the business and C joined the business with a sum of ? 15000. The profit earned at the end of year is ? 84125. What is the share of B in profit?
Options- A. ? 14133
- B. ? 15000
- C. ? 13460
- D. Couldn't be determined Discuss
- 8. P and Q make a partnership, P invests ? 8000 for 8 months and Q remains in the business for 4 months. Out of the total profit, Q claims 2 / 7 of the profit. How much money was contributed by Y?
Options- A. ? 5000
- B. ? 5400
- C. ? 7400
- D. ? 6400 Discuss
- 9. A and B invest ? 3000 and ? 4000, respectively in a business. A receives ? 10 per month out of the profit as a remuneration for running the business and the rest of the profit is divided in proportion to the investments. If in a year A totally receives ? 390, what does B receive?
Options- A. ? 630
- B. ? 360
- C. ? 480
- D. ? 380 Discuss
- 10. Amit and Brijesh started a business with initial investments in the ratio of 12 : 11 and their annual profits were in the ratio of 4 : 1. If Amit invested the money for 11 months, then for what time Brijesh invested the money?
Options- A. 9 months
- B. 3 months
- C. 5 months
- D. 10 months Discuss
Partnership problems
Search Results
Correct Answer: ? 2300
Explanation:
Let total profit = N
Paid to charity = 9% of N = 9N/100
? Balance profit = N - (9N/100) = 91N/100
? A's share = [4/(4 + 3)] x (91N/100) = (4/7) x (91N/100)
According to the question,
(4/7) x (91N/100) = 1196
? N = (1196 x 7 x 100)/(4 x 91) = ? 2300
Hence, total profit = ? 2300
Correct Answer: ? 7500
Explanation:
Let total profit = N
Paid to charity = 5% of N = (5 x N)/100 = N/20
? Balance profit = N - N/20 = 19N/20
? A's share = (19N/20) x (3/5) = 57N/100
According to the question.
57N/100 = 4275
? N = (4275 x 100)/57 = 7500
Hence. total profit = ? 7500
Correct Answer: ? 8400
Explanation:
Given, Investment of B = 1/6 of total capital
? Investments of A and C each = 1/2(1 - 1/6) of total capital
= (1/2) x (5/6) of total capital
= (5/12) of total capital
Now. A's share : B's share : C's share = (5/12) : (1/6) : (5/12) = 5 : 2 : 5
Let A's share = 5N
B's share = 2N
C's share = 5N
According to the question.
5N + 2N + 5N = 33600
? 12N = 33600
? N = 33600/12 = 2800
? Difference in the profits of B and C
= 5N - 2N = 3N = 3 x 2800 = ? 8400
Correct Answer: ? 18000
Explanation:
Let investment of A = N,
Investment of B = 2N,
Investment of C = 3N,
? A's share : B's share : C's share
= (N x 12) : (2N x 6) : (3N x 4)
= 12N : 12N : 12N
= 1 : 1 : 1
? C's share = [1/(1 + 1 + 1)] x 54000
= (1/3) x 54000 = ? 18000
Correct Answer: ? 720
Explanation:
Ratio of rents to be paid by P, Q and R Ratio of monthly equivalent
= (10 x 20) : (30 x 8) : (16 x 9)
= 200 : 240 : 144 = 25 : 30 : 18
Hence R's share
= [18/(25 + 30 + 18)] x 2920
= (18/73) x 2920
= 18 x 40
= ? 720
Correct Answer: ? 6000
Explanation:
A's share : B's share : C's share
= (20000 x 12) : (25000 x 4) : (15000 x 8)
= 240000 : 100000 : 120000
= 24 : 10 : 12 = 12 : 5 : 6
Let A's share = 12N
B's share = 5N
C's share = 6N
According to the question.
12N + 5N + 6N = 23000
? 23N = 23000
? N = 23000/23 = 1000
? C's share = 6N = 6 x 1000 = ? 6000
Correct Answer: ? 13460
Explanation:
Ratio of equivalent capitals of A, B and C = (35000 x 12) : (20000 x 5) : (15000 x 7)
= 35 x 12 : 20 x 5 : 15 x 7
= 84 : 20 : 21
Let A's share = 84N
B's share = 20N
C's share = 21N
According to the question,
84N + 20N + 21N = 84125
? 125N = 84125
? N = 84125/125 = 673
? B's share = 20N = (20 x 673) = ? 13460
Correct Answer: ? 6400
Explanation:
Q gets 2/7 of the profit.
? P gets(1 - 2/7) = 5/7 of the profit
? P : Q = 5/7 : 2/7 = 5 : 2
Let the contribution of Q be a.
Then, 8000 x 8 : a x 4 = 5 : 2
? 64000/4a = 5/2
? 20a = 128000
? a = 128000/20 = ? 6400
Correct Answer: ? 360
Explanation:
Let the annual profit be ? N Then, ? (N - 120) will be distributed between A and B as their shares of profit.
Ratio of profits = Ratio of investments So, A : B = 3000 : 4000 = 3 : 4
? A's share = 120 + (N - 120) x 3/7
? 120 + (N - 120) x 3/7 = 390
? (N - 120) x 3/7 = 390 - 120 = 270
? N - 120 = (270 x 7)/3 = 630
? B's share = 4/7 x (N - 120)
= (4/7) x 630 = ? 360
Correct Answer: 3 months
Explanation:
Let investment of Amit = 12k
and investment of Brijesh = 11k
Let Brijesh invested the money for N months.
Then,
Amit's investment : Brijesh's investment
= (12k x 11) : (11k x N) = 132k : 11kN = 12 : N
? 12/N = 4/1 [ ? ratio of profit is 4 : 1]
? 4N = 12
? N = 12/4 = 3 months
Clearly, Brijesh invested money for 3 months.
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