Question

divide rs7000 among A, B and C such that A gets 50% of what B gets and B gets 50% of what C gets.​

Answer 1

Answer:

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Answer 2

       $\underline{\bold{Answer:}}$

       $\text{Amount received by C} = x=\text{Rs. 4000}$    

       $\text{Amount received by B} = \frac{x}{2} = \text{Rs. 2000}$

       $\text{Amount received by A} = \frac{x}{4} = \text{Rs. 1000}$

       $\underline{\bold{Step-by-step-explaination:}}$

       $\text{Let the amount C gets be }x$

       $\text{According to the question, A gets 50 percent of what B gets and B gets 50}\\\text{percent of what C gets}$

$\implies \text{Amount received by B}= \boxed{\frac{50}{100}x = \frac{x}{2} }$

$\implies \text{Amount received by A} = \boxed{\frac{50}{100}(\frac{x}{2}) = \frac{x}{4} }$

       $\text{Total money}= \text{Rs. }7000$

$\implies \boxed{\frac{x}{4} + \frac{x}{2} + x = 7000 }$

       $\text{Simplifying the equation}$

$\implies \boxed{\frac{x + 2x + 4x}{4} = 7000 }$

       $\text{Simplifying the equation}$

$\implies \boxed{\frac{7x}{4} = 7000 }$

       $\text{Transposing the 4 to R.H.S and simplifying the equation}$

$\implies \boxed{7x = 28000 }$

       $\text{Transposing the 7 to R.H.S and simplifying the equation}$

$\implies \boxed{x = \text{Rs. }4000 }$

$\implies \text{Amount received by C} = x=\text{Rs. 4000}$    

       $\text{Amount received by B} = \frac{x}{2} = \text{Rs. 2000}$

       $\text{Amount received by A} = \frac{x}{4} = \text{Rs. 1000}$