Question

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 has originally ₹ x

Money deposited in bank = 20% of x

= `20/100 xx x`

= ₹ `1/5x`

Remianing money = `x - 1/5x` = ₹ `4/5x`

Money spent = 20% of remaining money

= `20/100 xx 4/5x`

= `1/5 xx 4/5x`

= ₹ `4/25x`

Now, money left = `4/5x - 4/25x` = ₹ `16/25x`

But given that, money = ₹ 4800

According to the question,

`16/25x = 1800`

⇒ `x = (4800 xx 25)/16`

⇒ x = ₹ 7500

Hence, Medha has ₹ 7500 in orginal.