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- Question
- 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
- Correct Answer
- 6 : 10 : 5
ExplanationLet 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 - 1. 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
- 2. Srikant and Vividh started a bussiness investing amounts of ? 185000 and ? 225000, respectively, If Vividh's share in the profit earned by them is ? 9000, what is the total profit earned by them together?
Options- A. ? 17400
- B. ? 16400
- C. ? 16800
- D. ? 17800 Discuss
- 3. A, B and C entered into a partnership by making investment in the ratio 3 : 5 : 7. After a year C invests another Rs. 337600 while A withdraws Rs. 45600. The ratio of investments then changes to 14 : 29 : 167. How much did A invest initially?
Options- A. Rs. 233364.71
- B. Rs. 9600
- C. Rs. 141600
- D. 233374.72 Discuss
- 4. Four milkmen rented a pasture A grazed 18 cows for 4 months, B, 25 cows for 5 months and D, 21 cows for 3 months. If A's share of rent is Rs. 360, the total rent of the field is?
Options- A. Rs. 1500
- B. Rs. 1600
- C. Rs. 1625
- D. Rs. 1650 Discuss
- 5. A started a business by investing Rs. 8000. 3 months later B joined him with Rs. 5000. If at the end of a year total profit earned was Rs. 2350. How much is the share of A more than the share of B?
Options- A. Rs. 600
- B. Rs. 800
- C. Rs. 400
- D. Rs. 850 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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 Discuss
- 10. 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
Partnership problems
Search Results
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: ? 16400
Explanation:
As we know,
Ratio of profits = Ratio of investments
? Srikant's share : Vividh's share = 185000 : 225000 = 37 : 45
Let Srikant's share = 37N
Vividh share = 45N
According to the question,
45N = 9000
? N = 9000/45 = 200
? Total profit = 37N + 45N = 82N
= 82 x 200 = ? 16400
Correct Answer: Rs. 233364.71
Explanation:
Let the initial investment of A, B, C be Rs. 3k, Rs. 5k and Rs. 7k respectivily.
Then, (3k - 45600) : 5k : (7k + 337600) = 14 : 59 : 167
? (3k - 45600) / 5k = 14 / 29
? k = 77788.24
? A investment initially Rs. (77788.24 x 3) = Rs. 233364.71
Correct Answer: Rs. 1625
Explanation:
Ratio of rent = (18 x 4) : (25 x 2) : (28 x 5) : (21 x 3)
= 72 : 50 : 140 : 63
Let the total rent = Rs. N
Then A's share = Rs. (N x 72)/325 = Rs. 72N / 325
? 72N / 325 = 360
? N = (325 x 360)/72 = Rs. 1625
Correct Answer: Rs. 850
Explanation:
Ratio between the investment of A and B = (8000 x 12) : (5000 x 9)
= 96000 : 45000 = 32 : 15
Total profit = Rs. 2350
? A's share = [32/(32 + 15)] x 2350 = Rs. 1600
? B's share = 2350 - 1600 = Rs. 750
? Required difference = 1600 - 750 = Rs. 850
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: 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: ? 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: 8 : 4 : 1
Explanation:
Here, 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
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
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