A's capital is equal to twice B's capital and B's capital is three times C's cap

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Question
A's capital is equal to twice B's capital and B's capital is three times C's capital. The ratio of the capital is?
Options
A. 2 : 1 : 3
B. 1 : 2 : 6
C. 6 : 3 : 1
D. 1 : 3 : 6

Correct Answer

6 : 3 : 1

Explanation

Let C's capital = Rs. x
Then B's capital = Rs. 3x and A's capital = Rs. 6x
? Ratio of capital of A, B, and C = 6x : 3x : x = 6 : 3 : 1

Partnership problems

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1.
A, B and C are three partners in a business. If twice the investment of A is equal to thrice the capital of B and the capital of B is four times the capital of C. Out of a total profit of Rs. 5,940 the share of C is?
Options
A. Rs. 700
B. Rs. 900
C. Rs. 740
D. Rs. 540

2.
Karim invests Rs. 30000 for one year in a shop. How much his partner Raunaq should invest in order that the profit after one year must be in the ratio 2 : 3?
Options
A. Rs. 20000
B. Rs. 40000
C. Rs. 45000
D. Rs. 18000

3.
Jayant started a business, investing Rs. 6000. Six months later Madhu joined him, investing Rs. 4000. If they made a profit of Rs. 5200 at the end of the year. How much must be the share of Madhu?
Options
A. Rs. 2080
B. Rs. 1300
C. Rs. 1800
D. Rs. 2600

4.
Rs. 700 is dividing among A, B and C so that A receives half as much as B and B half as much as C. Then C's share is?
Options
A. Rs. 200
B. Rs. 300
C. Rs. 400
D. Rs. 600

5.
Dilip, Ram and Amar started a shop by investing Rs. 27,000, Rs. 81,000 and Rs. 72,000 respectively. At the end of one year the profit was distributed. If Ram's share of profit be Rs. 36,000, then the total profit was?
Options
A. Rs. 108000
B. Rs. 16000
C. Rs. 80000
D. None of these

6.
Three partners A, B and C invest Rs. 26000, Rs. 34000 and Rs. 10000 respectively in a business. Out of a profit of Rs. 3500. B's share is?
Options
A. Rs. 1300
B. Rs. 1700
C. Rs. 500
D. Rs. 1500

7.
A, B and C contract a work for Rs. 550. Together A and B are supposed to do 7/11 of the work. The share of C should be?
Options
A. 1831/3
B. Rs. 200
C. Rs. 300
D. Rs. 400

8.
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

9.
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

10.
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

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