A, B and C start a business. A invests 3 times as much as B invests and B invest

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Question
A, B and C start a business. A invests 3 times as much as B invests and B invests two-third of what C invests. Then, the ratio of capitals of A, B and C is?
Options
A. 3 : 9 : 2
B. 6 : 10 : 15
C. 5 : 3 : 2
D. 6 : 2 : 3

Correct Answer

6 : 2 : 3

Explanation

Suppose C invests Rs. x then, B invests Rs. 2x/3 and A invests Rs. 2x
? Ratio of investment of A, B, C = 2x : (2x/3) : x = 6 : 2 : 3

Partnership problems

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1.
Gopal started a business with Rs. 3000. After 6 months Dinesh also joined him with Rs. 2000. If at the end of the year the profit is Rs. 2600. What is the share of Dinesh in the profit?
Options
A. Rs. 1733
B. Rs. 1950
C. Rs. 866
D. Rs. 650

2.
Alok started a business with Rs. 75000. After 3 months Chandan also joined him with Rs. 60000. If at the end of the year, the profit is Rs. 16000. What is the share of Chandan in the profit?
Options
A. Rs. 6000
B. Rs. 10000
C. Rs. 8000
D. Rs. 4500

3.
A, B and C can do a work in 20, 25 and 30 days respectively. They undertook to finish the work together for Rs. 2220, then the share of A exceeds that of B by?
Options
A. Rs. 120
B. Rs. 180
C. Rs. 300
D. Rs. 600

4.
Rakesh started a business by investing Rs. 70000. 8 months later Vinod also joined him with Rs. 180000. Total profit, in what ratio should be divided between them?
Options
A. 8 : 7
B. 6 : 5
C. 7 : 5
D. None of these

5.
Subodh started a business, investing Rs. 45000. After 4 months. Nepal joined him investing Rs. 30000. If the total profit earned by them at the end of the year was Rs. 13,000 what would be the difference between the shares of Subodh and Nepal?
Options
A. Rs. 7000
B. Rs. 3000
C. Rs. 9000
D. None of these

6.
A sum of money is to be divided among A, B and C in the ratio 2 : 3 : 7. If the total share of A and B together is Rs. 1500 less than C. What is A's share in it?
Options
A. Rs. 1000
B. Rs. 1500
C. Rs. 2000
D. Date inadequate

7.
Three Hikers A, B and C start on a trip with Rs. 50 each and agree to share the expenses equally. If at the end of the trip. A has Rs. 20 left with him, B Rs.30 and C Rs. 40 how must they settle their accounts?
Options
A. C must pay Rs. 10 to A
B. A must pay Rs. 10 to B
C. A must pay Rs. 10 to C
D. Can't be settled

8.
Ravi and Kavi start a business by investing ? 8000 and ? 72000, respectively. Find the ratio of their profits at the end of year.
Options
A. 2 : 9
B. 5 : 9
C. 7 : 9
D. 1 : 9

9.
P starts a business with ? 300000 and Q join him after 3 months with ? 1200000. Find the ratio of their profits at the end of the year .
Options
A. 2 : 5
B. 3 : 5
C. 5 : 1
D. 1 : 3

10.
Ram, Shyam and Kamal together start a business in partnership. The ratio of their capitals is 3 : 4 : 7. If their annual profit be ? 21000, what will be Kamal's share in this profit?
Options
A. ? 12500
B. ? 10500
C. ? 15000
D. ? 10000

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