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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
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 much money did he get from his father ?
1). Rs 3,000
2). Rs 6,000
3). Rs 4,500
4). Can’t be determined
This Question has 2 answers.
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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