Question

Question 105

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

Answer 1

Let Medha originally have ₹ x.
Money deposited in bank = 20 % of x $=\frac{20}{100}\times$x = ₹ $\frac{1}{5}$x
Remaining money $=x-\frac{1}{5}x$ = ₹ $\frac{4}{5}$x
Money spent = 20 % of remaining money $=\frac{20}{100}\times \frac{4}{5}x=\frac{1}{5}\times \frac{4}{5}x$= ₹ $\frac{4}{25}$x

Now, money left $=\frac{4}{5}x-\frac{4}{25}x=₹\frac{16}{25}x$
But given that, money = ₹ 4800
According to the question,
$\frac{16}{25}x=4800\Rightarrow x=\frac{4800\times 25}{16}$
$\Rightarrow x=₹7500$
Hence, Medha had ₹ 7500 originally.