Question

Rohan spends 10% of his money on house rent. After spending 80% of the balance, he has Rs5400 left with him. How much money did he have originally?​

Answer 1

The money he had initially is ₹30,000.

Step-by-step explanation:

Let the money he had initially is ₹x.

Given: Rohan spends 10% of his money on house rent.

Then the left money is 0.90x.

After spending 80% of the balance, he has Rs5400 left with him.

$= > x = 0.10x + 0.80 \times 0.90x + 5400$

$= > x = 0.10x + 0.72x + 5400$

$= > x = 0.82x + 5400$

$= > x - 0.82x = 5400$

$= > 0.18x = 5400$

$= > x = \frac{5400}{0.18}$

$= > x = 30000$

The money he had initially is ₹30,000.