# A and B are centered into 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 Option 1) Rs. 1200   Option 2) Rs. 2400          Option 3) Rs. 3600Option 4) Rs. 4800Option 5)        -

$A:B:C = \left ( 16000\ast 3 + 11000\ast 9 \right ) : \left ( 12000\ast 3 + 17000\ast 9 \right ) + \left ( 21000\ast 6 \right )$

$= 147 : 189 : 126$

$= 7 : 9 : 6$

$So, \: Share \: of \: B= 24000\ast 9/22 = 10800$

$Share \: of \: C = 24000\ast 6/22 = 7200$

$Diff\: = 10800-7200 = 3600$

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