Partnership problems
- 1. A, B and C enter into a partnership with shares in the ratio 7/2 : 4/3 : 6/5. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is?
Options- A. Rs. 2100
- B. Rs. 2400
- C. Rs. 3600
- D. Rs. 4000 Discuss
Correct Answer: Rs. 4000
Explanation:
Given Ratio = 7/2 : 4/3 : 6/5 = 105 : 40 : 36
Let them initially invest Rs. 105, Rs. 40 and Rs. 36 respectively.
Ratio investment = [105 x 4 + (150% of 105) x 8] : (40 x 12) : (36 x 12)
=1680 : 480 : 432 = 35 : 10 : 9
? B's share = Rs. 21600 x (10/54) = Rs. 4000
- 2. 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
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
- 3. 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
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
- 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
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
- 5. 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
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
- 6. 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
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
- 7. 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
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
- 8. 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
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
- 9. 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
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
- 10. 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
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.
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