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 tra… — Answer & Discussion

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 ?

ARs 3,000
BRs 6,000
CRs 4,500
DCan’t be determined

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CCommunity07 Apr 2019

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

CCommunity26 Apr 2019

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