# A garage owner brought a certain amt of petrol for Rs450. if petrol costs Rs x per litre ,write down the expression for no. of litres of petrol obtained. When the price per litre increases by Rs 5 per litre, he found that he obtained 3 litres less for the same sum of money. find the original price of petrol per litre.

Given  : A garage owner bought a certain amount of petrol for Rs.450 and  petrol costs Rs. x per litre .

So,

Quantity of petrol bought from Rs 450  = $\frac{450}{x}$ litres

When the price per litre increases by Rs 5 per litre, then

Quantity of petrol bought from Rs 450 =  litres

But he found that he obtained 3 litres less for the same sum of money. So, we get

$\frac{450}{x}$  - 3  =

So,
x  = 25 and  - 30
And we take x as price of petrol per litre , So , x can't be negative , Then we neglect x  = - 30  and get
x  = 25
So,
Original price of petrol per litre  = Rs  25                                                        ( Ans )

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