Gaurav spends 40% of the amount he received from his father on hostel expenses, 20% on books and stationery and 50% of the remaining on transport. He saves Rs 450 which is half the remaining amount spending on hostel expenses,books etc.and transport. How

Solution

Let the money Gaurav inherited be equal to $X$

So, his hostel expenses equal $0.4X$

Expenses on books and stationery is $0.2X$

Remaining amount is $X - 0.4X - 0.2X = 0.4X$

Transport expenses is $50% of 0.4X = 0.2X$

Remaining amount is $0.4X - 0.2X = 0.2X$

He saves $50%$ of it, that is $0.1X$ and it equals $450$.

So, the value of $X$ is $450/0.1 = 4500$

$= 4500$

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