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(A) The ratio of profit sharing is determined by the product of the investment and the time period for which the money was invested.$A$ invested ₹ $20

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$7500$

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(A) The ratio of profit sharing is determined by the product of the investment and the time period for which the money was invested.$A$ invested ₹ $20000$ for $24$ months.$B$ invested ₹ $15000$ for $24$ months.$C$ invested ₹ $20000$ for $(24 - 6) = 18$ months.Ratio of investments $A : B : C = (20000 	imes 24) : (15000 	imes 24) : (20000 	imes 18)$.Dividing by $6000$,we get $A : B : C = (4 	imes 20) : (3 	imes 20) : (4 	imes 15) = 80 : 60 : 60 = 4 : 3 : 3$.Total ratio sum $= 4 + 3 + 3 = 10$.Total profit $= ₹ 25000$.$B$'s share $= \frac{3}{10} 	imes 25000 = ₹ 7500$.

$A$ and $B$ started a business in partnership investing ₹ $20000$ and ₹ $15000$ respectively. After six months,$C$ joined them with ₹ $20000$. What will be $B$'s share in the total profit of ₹ $25000$ earned at the end of $2$ years from the starting of the business? (In ₹)

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