A starts a business with a capital of ₹ 1200. | vedclass

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(A) The profit ratio is determined by the product of the investment and the time period for which it was invested.Let $B$'s investment be $x$ and $C$'

Vedclass · Accepted Answer

$2400$

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(A) The profit ratio is determined by the product of the investment and the time period for which it was invested.Let $B$'s investment be $x$ and $C$'s investment be $y$.$A$ invested ₹ $1200$ for $12$ months.$B$ invested $x$ for $(12 - 3) = 9$ months.$C$ invested $y$ for $(12 - 6) = 6$ months.The ratio of profits is $(1200 	imes 12) : (x 	imes 9) : (y 	imes 6) = 2 : 3 : 5$.Comparing $A$ and $B$'s profit ratio:$\frac{1200 	imes 12}{x 	imes 9} = \frac{2}{3}$$\frac{14400}{9x} = \frac{2}{3}$$18x = 14400 	imes 3$$18x = 43200$$x = \frac{43200}{18} = 2400$.Thus,$B$'s investment is ₹ $2400$.

$A$ starts a business with a capital of ₹ $1200$. $B$ and $C$ join with some investments after $3$ and $6$ months,respectively. If,at the end of a year,the profit is divided in the ratio of $2:3:5$,what is $B$'s investment (in ₹) in the business?

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