₹ 11,550 has to be divided between X,Y,and Z | vedclass

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Question

(D) Let the amount $Z$ gets be $z$.Then,the amount $Y$ gets is $\frac{2}{3}z$.And the amount $X$ gets is $\frac{4}{5} 	imes (\frac{2}{3}z) = \frac{8}

Vedclass · Accepted Answer

$2450$

Vedclass · Answer

(D) Let the amount $Z$ gets be $z$.Then,the amount $Y$ gets is $\frac{2}{3}z$.And the amount $X$ gets is $\frac{4}{5} 	imes (\frac{2}{3}z) = \frac{8}{15}z$.According to the problem,the sum of their shares is $11550$:$\frac{8}{15}z + \frac{2}{3}z + z = 11550$$\frac{8z + 10z + 15z}{15} = 11550$$\frac{33z}{15} = 11550$$33z = 11550 	imes 15$$z = \frac{173250}{33} = 5250$.So,$Z = 5250$.$X = \frac{8}{15} 	imes 5250 = 8 	imes 350 = 2800$.The difference between $Z$ and $X$ is $5250 - 2800 = 2450$.

₹ $11,550$ has to be divided between $X$,$Y$,and $Z$ such that $X$ gets $\frac{4}{5}$ of what $Y$ gets and $Y$ gets $\frac{2}{3}$ of what $Z$ gets. How much more does $Z$ get over $X$ (in ₹)?

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