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- Question
- 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
- Correct Answer
- ? 20000
ExplanationAjay'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 - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. Four person decided to start a restaurant by sharing equal amount of the total investment. After some calculations they found that if they get two more equal investors, each of the four will have to pay Rs. 12000 less. What was the total investment?
Options- A. Rs. 24000
- B. Rs. 72000
- C. Rs. 144000
- D. Rs. 288000 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Partnership problems
Search Results
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: Rs. 144000
Explanation:
Let investment of each person be Rs. N
Total investment of 4 people = 4 x N = Rs. 4N
Investment of each person when two more people join them = Rs. (N - 12000)
? Total investment of 6 people = 6(N - 12000)
? 4N = 6(N - 12000)
? 4N = 6N - 72000
? 2N = 72000
? N = 36000
Hence total investment = 4 x 36000 = Rs. 144000
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: 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
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