Question

A man left his 25% Of his money to his mother, 50% to his daughter and the remaining 10,000 rupees to his brother , how much money did he leave. Find the shares of his mother and daughter.


find the question with statements properly
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Answer 1

Solution :

Let has total many : x

amount of has mother : $\sf\dfrac{25 x}{100}$

amount of has daughter : $\sf\dfrac{50 x}{100}$

$\sf{\blue{According \: to \: question}}$

$\implies \sf{x - ( \dfrac{25 x}{100} + \dfrac{50 x}{100} ) = 10000} \\ \\ \implies\sf{x - \dfrac{75 x}{100} = 10000} \\ \\ \implies\sf{ x - \dfrac{3 x}{4} =10000} \\ \\ \implies \sf{4x - 3x = 4 \times 10000} \\ \\ \implies \sf{x = 40000}$

Total amount he leave = Rs 40000

the share of has mother = $\sf\dfrac{40000 \times 25}{100}$

==> 400 x 25

==> 10000

he share has daughter = $\sf\dfrac{40000 \times 50}{100}$

==> 400 x 50

==> 20000

∴ The shares of his mother Rs 10000 and daughter is Rs 20000

Answer 2

$\huge \boxed{ \fcolorbox{orange}{red}{answer}}$

Let has total many :

$x$

amount of has mother :

$\sf\dfrac{25 x}{100} </p><p>$

amount of has daughter :

$\sf\dfrac{50 x}{100}$

$\sf{\blue{According \: to \: question}}$

$\begin{gathered}\implies \sf{x - ( \dfrac{25 x}{100} + \dfrac{50 x}{100} ) = 10000} \\ \\ \implies\sf{x - \dfrac{75 x}{100} = 10000} \\ \\ \implies\sf{ x - \dfrac{3 x}{4} =10000} \\ \\ \implies \sf{4x - 3x = 4 \times 10000} \\ \\ \implies \sf{x = 40000}\end{gathered}$

Total amount he leave = Rs 40000

the share of has mother =

$\sf\dfrac{40000 \times 25}{100} </p><p>$

==> 400 x 25

==> 10000

he share has daughter =

$\sf\dfrac{40000 \times 50}{100} </p><p>$

==> 400 x 50

==> 20000

∴ The shares of his mother Rs 10000 and daughter is Rs 20000.

Hope it helps........

$\huge \boxed{ \mathbb{ \fcolorbox{orange}{red}{thanks}}}$