Question

A man spends two fifth of his money and is left with RS 30 how much did he initially have

Answer 1

$\boxed{\boxed{\large\mathbf{Rs. \: 50}}}$
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$\underline{\underline{\huge\mathfrak{ANSWER :}}}$

Let the initial money that the man had be $\bf{x}$

$\textsf{Then, the money he spent will be} \: \mathbf{\frac{2}{5} x}$

$\underline{Also,}$

$\textsf{The money he is left with is} \: \mathbf{Rs. \: 30}$

$\large\mathsf{=> x - \frac{2}{5} x = 30}$

$\large\mathsf{=> \frac{5x - 2x}{5} = 30}$

$\large\mathsf{=> \frac{3x}{5} = 30}$

$\large\mathsf{=> x = \frac{ \cancel{30} \times 5}{ \cancel{3}}}$

$\large\mathsf{=> x = 10 \times 5}$

$\large{=>\boxed{\mathbf{ x = 50}}}$

$\textbf{Hence, the man initially had} \: \mathbf{ Rs. \: 50}$
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