Question

Medha deposited 20 % of her money in a bank. After spending 20 % of the remainder, the Rs. 4800 left with her. How much did she originally have ?

Answer 1

Let Medha originally have $x$ $Rs.$

Therefore,

Money deposited in bank = $\frac{20}{100}\times x=\frac{x}{5}$

Money left with her = $x-\frac{x}{5}=\frac{4x}{5}$

Now,

$\frac{4x}{5}-\frac{20}{100}\times \frac{4x}{5}=4800$

$\frac{4x}{5}-\frac{4x}{25}=4800$

$\frac{16x}{25}=4800$

$x=\frac{4800\times 25}{16}=7500$ $Rs.$

Therefore, she originally had 7500 Rs.