# A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew of his capital and B withdrew of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is: Option 1) Rs. 330Option 2) Rs. 360          Option 3) Rs. 380Option 4) Rs. 430Option 5)   None of these

$A : B = \left [ \left ( 4x\ast 3 \right ) + {4x - \left ( 1/4 \right )\ast 4x}\ast 7 \right ] : \left [ \left ( 5x\ast 3 \right )+ {5x - \left ( 1/5 \right )\ast 5x} \ast 7 \right ]$

$=> \left ( 12x+21x \right ) : \left ( 15x+28x \right )$

$=> 33x : 43x$

$= 33 : 43$

$so,\: A's \: share = Rs. 760\ast \left ( 33/76 \right ) = Rs. 330$

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