Rs. 700 is dividing among A, B and C so that A receives half as much as B and B

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Question
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

Correct Answer

Rs. 400

Explanation

Let C's share = Rs. N
Then B's share = Rs. N/2
and A's share = Rs. N/4
? A : B : C = N/4 : N/2 : N = 1 : 2 : 4
Hence C's share = Rs. 700 x (4/7) = Rs. 400

Partnership problems

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1.
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

2.
A and B started a joint firm. A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B got Rs. 4,000 as profit then their total profit is?
Options
A. Rs. 24,000
B. Rs. 16,000
C. Rs. 28,000
D. Rs. 20,000

3.
A and B start a business with initial investment in the ratio 12 : 11 and their annual profits were in the ratio 4 : 1. If A invested the money for 11 months . B invested the money for?
Options
A. 3 months
B. 32/3 months
C. 4 months
D. 6 months

4.
Pramod started a business with Rs. 40000. After 4 months Vikas also joined him with Rs. 60000. If at the end of the year, the profit is Rs. 16000, what is the share of Vikas in the profit?
Options
A. Rs. 8000
B. Rs. 4000
C. Rs. 12000
D. Rs. 10000

5.
Brothers A and B had some savings in the ratio 4 : 5. They decided to buy a gift for their sister, sharing the cost in the ratio 3 : 4. After they bought, A spent two-third of his amount, while B is left with ? 145. Then, the value of the gift is
Options
A. ? 70
B. ? 105
C. ? 140
D. ? 175

6.
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

7.
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

8.
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

9.
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

10.
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

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