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- Question
- 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
- Correct Answer
- Rs. 1625
ExplanationRatio 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 - 1. 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
- 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
- 3. 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
- 4. If 6 (A's capital ) = 8 (B's capital) = 10 (C's capital) then the ratio of their capitals is?
Options- A. 3 : 4 : 5
- B. 12 : 15 : 20
- C. 20 : 15 : 12
- D. 6 : 8 : 10 Discuss
- 5. A, B and C subscribed Rs. 47,000 for a business. A subscribe Rs. 7000 more than B and B Rs. 5,000 more than C. Out of a total profit of Rs. 9,400, B receives?
Options- A. Rs. 4400
- B. Rs. 3000
- C. Rs. 2000
- D. Rs.1737.90 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Partnership problems
Search Results
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: 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
Correct Answer: 20 : 15 : 12
Explanation:
Let 6 (A's capital) = 8 (B's capital) = 10 (C's capital) = k
Then A's capital = k/6 B's capital = k/8
and C's capital = k/10
? Ratio of capitals of A, B, and C = (k/ 6) : (k/8) : (k/10) = 20 : 15 : 12.
Correct Answer: Rs. 3000
Explanation:
Suppose C invests Rs. N
Then B's investment = Rs. (N + 5000)
and A's investment = Rs. (N + 12000)
? N + (N + 5000) + (N + 12000) = 47000
? N = 10000
Thus A : B : C = 22000 : 15000 : 10000 = 22 : 15 : 10
? B's share = Rs. (9400 x 15)/47 = Rs. 3000
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: ? 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: ? 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: 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
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