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in Mathematics by (63.8k points)

A, B and C start a business each investing Rs. 20,000. After 5 months A withdrew Rs.6000 B withdrew Rs. 4000 and C invests Rs. 6000 more. At the end of the year, a total profit of Rs. 69,900 was recorded. Find the share of each.

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Ratio of the capitals of A, B and C 

 = 20000 x 5 + 15000 x 7 : 20000 x 5 + 16000 x 7 : 20000 x 5 + 26000 x 7 

= 205000:212000 : 282000 = 205 : 212 : 282. 

A’s share = Rs. 69900 x (205/699) = Rs. 20500 

B's share = Rs. 69900 x (212/699) = Rs. 21200; 

C's share = Rs. 69900 x (282/699) = Rs. 28200.

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