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- Question
- A, B and C invested their capitals in the ratio of 5 : 6 : 8. At the end of the business, they received the profits in the ratio of 5 : 3 : 1. Find the ratio of time for which they contributed their capitals. `
Options- A. 12 : 9 : 7
- B. 25 : 18 : 8
- C. 5 : 6 : 8
- D. 8 : 4 : 1
- Correct Answer
- 8 : 4 : 1
ExplanationHere, p1 : p2 : p3 = 5 : 3 : 1 and x1 : x2 : x3 = 5 : 6 : 8
According to the formula,
Required ratio = p1/x1 : p2/x2 : p3/x3
= 5/5 : 3/6 : 1/8
= 1 : 1/2 : 1/8 = 8 : 8/2 : 8/8 = 8 : 4 : 1 - 1. Four milkmen rented a pasture. A grazed 18 cows for 4 months, B grazed 25 cows for 2 months, C grazed 28 cows for 5 months and D grazed 21 cows for 3 months. If A's share of rent is ? 720, what will be the total rent of the pasture?
Options- A. ? 1650
- B. ? 3250
- C. ? 3500
- D. ? 3000 Discuss
- 2. Ramesh and Priya started a business initially with ? 5100 and ? 6600, respectively. Investments done by both the persons are for different time periods. If the total profit is ? 5460, what is the profit of Ramesh?
Options- A. ? 1530
- B. ? 1600
- C. ? 1400
- D. Data inadequate Discuss
- 3. P, Q and R are three partners in a business. If P's capital is equal to twice the capital of Q and Q's capital is three times the capital of R, find the ratio of the capital of P,Q and R.
Options- A. 6 : 3 : 1
- B. 1 : 3 : 6
- C. 2 : 3 : 6
- D. 3 : 6 : 1 Discuss
- 4. A and B invest in the ratio of 3 : 5, respectively. After 6 months, C enters the business with the investment of the capital equal to that of B. What will be the ratio of the profits of A, B and C at the end of year?
Options- A. 6 : 10 : 5
- B. 3 : 5 : 5
- C. 3 : 5 : 2
- D. 6 : 2 : 3 Discuss
- 5. Ajay started a business investing ? 25000. After 3 months, Vijay joined him with a capital of ? 30000. At the end of the year, they made a profit of ? 38000. What will be the Ajay's share in the profit?
Options- A. ? 10000
- B. ? 18000
- C. ? 15000
- D. ? 20000 Discuss
- 6. Sonu invested 10% more than the investment of Mona and Mona invested 10% less than the investment of Raghu. If the total investment of all the three persons is ? 5780, find the investment of Raghu.
Options- A. ? 2010
- B. ? 2000
- C. ? 2100
- D. ? 2210 Discuss
- 7. A, B and C entered into partnershp in a business. A got 3/5 of the profit. B and C distributed the remaining profit equally. if C got ? 400 less than A, the total profit was
Options- A. ? 1600
- B. ? 1200
- C. ? 1000
- D. ? 800 Discuss
- 8. A began a business with ? 2250 and was joined afterwards by B with ? 2700. If the profits at the end of the year were divided in the ratio of 2 : 1, after how much time B joined the business?
Options- A. 5 months
- B. 6 months
- C. 3 months
- D. 7 months Discuss
- 9. A, B and C invested capitals in the ratio of 4 : 6 : 9. At the end of the business term, they received the profit in the ratio of 2 : 3 : 5. Find the ratio of their time for which they contributed their capitals.
Options- A. 1 : 1 : 9
- B. 2 : 2 : 9
- C. 10 : 10 : 9
- D. 9 : 9 : 10 Discuss
- 10. Aarti, Vinita and Kamla became partners in a business by investing money in the ratio of 5 : 7 : 6. Next year, they increased their investments by 26%, 20% and 15%, respectively. In what ratio should profit earned during 2nd year be distributed?
Options- A. 21 : 28 : 23
- B. 23 : 28 : 21
- C. 28 : 23 : 21
- D. 35 : 41 : 7 Discuss
Partnership problems
Search Results
Correct Answer: ? 3250
Explanation:
Ratio of rents of A, B, C and D
= (18 x 4) : (25 x 2) : (28 x 5) : (21 x 3)
= 72 : 50 : 140 : 63
Let the total rent be N.
Then, A's share = [72N / (72 + 50 + 140 + 63)] = 72N/325
According to the question. 72N/325 = 720
? N = (720 x 325)/72 = 3250
? Total Rent = ? 3250
Correct Answer: Data inadequate
Explanation:
Time is not given in the question. So, we cannot find the profit of Ramesh. Hence, the data is inadequate.
Correct Answer: 6 : 3 : 1
Explanation:
Let the capital of R = N
Then, capital of Q = 3N,
and capital of P = 6N
? P's capital : Q's capital : R's capital = 6N : 3N : N
= 6 : 3 : 1
Correct Answer: 6 : 10 : 5
Explanation:
Let investment of A = 3N
? Investment of B = 5N
Investment of C = 5N
As we know,
Ratio of profits = Ratio of investments
? A's share : B's share : C's share
= 3N x 12 : 5N x 12 : 5N x (12 - 6)
= 3N x 12 : 5N x 12 : 5N x 6
= 6 : 10 : 5
Correct Answer: ? 20000
Explanation:
Ajay's share : Vijay's share
= 25000 x 12 : 30000 x (12 - 3)
= 25 x 12 : 30 x 9 = 10 : 9
Ajay's share = 10/(10 + 9) x 38000
= 10/19 x 38000
= 10 x 2000 = ? 20000
Correct Answer: ? 2000
Explanation:
Let share of Raghu be 100. Then share of Mona = 90 and share of Sonu = 99
Sonu : Mona : Raghu = 99 : 90 : 100
? Investment of Raghu = [100/(99 + 90 + 100)] x 5780
= (100/289) x 5780 = ? 2000
Correct Answer: ? 1000
Explanation:
Let the total profit be ? N,
Then, A's share in profit = ? 3N/5
Remaining profit = N - 3N/5 = (5N - 3N) / 5 = 2N/5
? B's share in profit = ? N/5
C's share in profit = ? N/5
According to the question,
(3N/5 - N/5) = 400
2N/5 = 400; N = (400 x 5)/2 = ? 1000
Correct Answer: 7 months
Explanation:
Let B remained in the business for N months. Then,
A : B = (2250 x 12) : (2700 x N)
? 2 : 1 = (27000 : 2700N) = (10 : N)
? 10/N = 2/1 [ ? Ratio of profit is 2 : 1]
? 2N = 10
? N = 10/2 = 5
Clearly, B joined after (12 - 5) = 7 months.
Correct Answer: 9 : 9 : 10
Explanation:
Here, P1 : P2 : P3 = 2 : 3 : 5 [profit's ratio]
and x1 : x2 : x3 = 4 : 6 : 9 [investment's ratio]
According to the rule,
Required ratio = P1/x1 : P2/x2 : P3/x3
= 2/4 : 3/6 : 5/9
= 1/2 : 1/2 : 5/9 = 9 : 9 : 10
Correct Answer: 21 : 28 : 23
Explanation:
Let investment of Aarti during first year = 5a
Investment of Vinita during first year = 7a
Investment of kamla during first year = 6a
Then, their investments during second year are
? (126/100) x 5a : (120/100) x 7a : (115/100) x 6a
= 630 : 840 : 690 = 21 : 28 : 23
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