samir spends 40 of his salary on food articles and one third..., Percentage, General Mathematics

Question:Samir spends `40%` of his salary on food articles and one third of the remaining on transport. If he saves Rs. `450` per month which is half of the balance after spending on food items and transport, what is his monthly salary ?

A `Rs. 4500` 
B `Rs. 2250` 
C `Rs. 1125` 
D `Rs. 2500`

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+ AnswerB

+ ExplanationMoney spent on food artiles

`= 40% 0f x`

`= 40/(100) x`

`= (2x)/5`

Balance

`= (x - (2x)/(5))`

`= (3x)/5`

Money spent on transport

`= 1/3 xx (3x)/5`

`= x/5`

Balance now

`= ((3x)/5 - x/(5))`

`(2x)/5`

`:. 1/2 xx (2x)/5`

`= 450 ⇒ x`

`= (450 xx 5)`

`= 2250`

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