a and b entered into a partnership investing rs 16000 12000..., Partnership, General Mathematics

Question:A and B entered into a partnership investing  Rs. 16000 and Rs. 12000 respectively. After 3 months, A  withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by :

A `Rs. 2400` 
B `Rs. 3000` 
C `Rs. 3600` 
D `Rs. 4800`

/20

+ AnswerC

+ Explanationsolution:
`A : B : C = 16000 xx 3 + 11000 xx 9 : 21000 xx 6`
              `= 147 : 189 : 126`
              `= 7 : 9 : 6`
Difference of B and C's shares
  `= Rs. (26400 xx 9/22 - 26400 xx 6/22)`
  `= Rs. 3600`.

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