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6.
The investment of chitra in a partnership is Rs. 1,000 more than that of Akshaya, but capital of chitra was invested for 8 months, while capital of Akshaya was for 12 months. If the share of Chitra of the yearly profits is the same as that of Akshaya, then what is the capital of chitra?
  • A.
    Rs. 3,000
  • C.
    Rs. 4,200
  • B.
    Rs. 4,000
  • D.
    Rs. 3,500
  • Answer & Explanation
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Answer : [A]
Explanation :
Let the capital of Chitra be = Rs. x
Ratio of investment of chitra and Akshaya = 8x : (x – 1000) 12
Given, both their shares are same.
 
  Both their profit ratio are also equal
8x
12x - 12000
=
1
1
     
8x = 12x - 12000
4x = 12000
x = 3000
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7.
A and B started business in partnership with Rs. 20,000 and Rs. 30,000 respectively. A withdrew his capital after 6 months. At the end of the year. A received Rs. 2000 as his share of profit. How much is the share of B?
  • A.
    Rs. 8000
  • C.
    Rs. 6000
  • B.
    Rs. 4000
  • D.
    Rs. 3000
  • Answer & Explanation
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Answer : [C]
Explanation :
Ratio of profit of A and B  = 20,000 x 6 : 30,000 x 12
  = 12 : 36 = 1 : 3  
Let Profit of A and B be x and 3 x respectively
Given, x = 2000
 
 
  3x = 3 x 2000 = 6000    
Profit of B = Rs. 6,000
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8.
A, B and C enter into a partnership with a certain capital in which A’s contribution is Rs. 10,000. If out of a total profit of Rs. 1,000, A gets Rs. 500, B gets Rs. 300 then C’s capital is
  • A.
    Rs. 4000
  • C.
    Rs. 3600
  • B.
    Rs. 4400
  • D.
    Rs. 4800
  • Answer & Explanation
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Answer : [A]
Explanation :
Ratio of profit of A, B, C = 500 : 300 : 200 = 5 : 3 : 2
Let the capital of A, B, C be 5x, 3x and 2x respectively.
Then 5x = 10000
x = 2000
C’s capital = 2x = 2 x 2000 = Rs. 4000
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