# A and B started a business with some investments. A as working partner received 40% of the annual profits as salary and the remaining was equally divided among A and B. If the entire profit was divided among A and B in the ratio of their investments, A would have received Rs. 900 less than what he actually got. B got a profit share of Rs. 2100. If B's investment is Rs. 45000, A's investment is (in Rs.) Option 1) 75000  Option 2) 60000  Option 3) 90000Option 4) 45000Option 5) -

Let P be the total profit.

$salary\: of \: A = 40P/100$

$Total \: share \: of\: A = \left ( 40P/100 \right ) + 2100$

$Total \: Share \: of\: B = 2100 \: which \: means \: 30$% $of \: P = 2100$

$P=Rs. 7000$

$the\: share \: of \: A = 2100+2800=4900$

Had the profit been divided in the ratio of their investment,

$the \: share \: of\: A = 4900-900= Rs. 4000$

$Hence \: share\: of\: B= Rs. 3000$

$Hence \: A/45000 = 4000/3000$

$A \: equals\: to\: 60,000$

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