Question

huma, hubna , seema recieved total rs of 2,016 as monthly allowance from thier mother such that seema gets 1|2 of what humagets n hubna gets 5|6 times share , how much money the three sisters get ?

Answer 1

Answer :

Total monthly allowance = Rs . 2016

Let Huma get total money = x

And given : Seema gets $\frac{1}{2}$ of what huma gets. So

Seema gets total money = $\frac{x}{2}$

And

hubna gets $\frac{5}{6}$times share , So

Hubna get total money = $\frac{5x}{6}$

Then

$$\begin{gathered} x+\hspace{0.17em}\frac{x}{2}+\frac{5x}{6}=2016 \\ \Rightarrow \frac{6x+3x+5x}{6}=2016 \\ \Rightarrow \frac{14x}{6}=2016 \\ \Rightarrow x=2016\times \frac{6}{14} \\ \Rightarrow x=144\times 6 \\ \Rightarrow \mathit{x}\mathbf{}\mathbf{=}\mathbf{}\mathbf{864} \end{gathered}$$

So,

Hum gets total money = Rs . 864 ,

Seema gets total money = $\frac{864}{2}$ = Rs . 432

And

Hubna gets total money = $\frac{5}{6}\times 864=5\times 144$ = Rs . 720 ( Ans )