A and B started a business jointly 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 received Rs. 4000 as profit, then their total profit is : Option 1) 22000  Option 2) 28000Option 3) 32000Option 4) 36000Option 5) -

$Suppose \: B\: invested \: Rs. x \: for \: y \: months$

$then,\: A \: invested \: Rs. 3x \: for\: 2y\: months$

$so,\: A:B = \left ( 3x\ast 2y \right ) : \left ( x\ast y \right ) => 6xy : xy = 6:1$

$So,\: B's\: profit : Total \: Profit = 1: 7$

$Let\: total \: profit\: be\: Rs. x$

$Then \: 1/7 = 4000/x$

$so,\: x= Rs. 28000$

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