Anju and Brijesh enter into a partnership wit | vedclass

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(B) Let Brijesh's capital be invested for $x$ months.The ratio of the capitals of Anju and Brijesh is $5:9$.Let the capitals of Anju and Brijesh be $5

Vedclass · Accepted Answer

$10$

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(B) Let Brijesh's capital be invested for $x$ months.The ratio of the capitals of Anju and Brijesh is $5:9$.Let the capitals of Anju and Brijesh be $5y$ and $9y$ respectively.Anju's investment product is $C_1 	imes t_1 = 5y 	imes 8 = 40y$.Brijesh's investment product is $C_2 	imes t_2 = 9y 	imes x = 9yx$.The ratio of their profits is equal to the ratio of their investment products:$\frac{	ext{Anju's profit}}{	ext{Brijesh's profit}} = \frac{C_1 	imes t_1}{C_2 	imes t_2}$Given the profit ratio is $4:9$,we have:$\frac{4}{9} = \frac{40y}{9yx}$$\frac{4}{9} = \frac{40}{9x}$$4x = 40$$x = 10$ months.Thus,Brijesh's capital was invested for $10$ months.

Anju and Brijesh enter into a partnership with their capitals in the ratio of $5:9$. At the end of $8$ months,Anju withdraws her capital. If they receive their share of profit in the ratio of $4:9$,find out how long Brijesh's capital was invested in the business (in months).

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