Question

If the price of petrol is increased by Rs 2 per litre, a persons would get one litre less Petrol for Rs 1740. find the original price of petrol.

(1) why is price of petrol increasing day by day?
(2) what should we do to save petrol?

Answer 1

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Hey user!!
Here's your answer!!

Let the original cost of petrol be 'x'
Price for the petrol he purchased = Rs 1740
Therefore number of Litres = 1740 / x
It is also said that price is increase by 2 = x+2
Therefore number of Litres = 1740 / (x+2)

It is also given that 1 litre is less while buying with the increased price.
So it means if we subtract 1740 / (x+2) from 1740 / x we get 1

So, 1740 / x - 1740 / x+2  = 1
= 1740(x+2) - 1740(x) / (x)(x+2)  = 1
= 1740 x + 3480 - 1740 x / x² + 2x = 1
=  3480 = x² + 2x 
= x² + 2x - 3480 = 0
= x² +60x - 58x - 3480 = 0
= x ( x+60) -58 ( x +60)
= (x+60) ( x-58)
=> x = 58 and - 60
The price cannot be negative so we neglect - 60 and take 58.

Hence the price for 1 Litre of petrol was Rs 58 originally,

Hope it helps!!
Cheers mate!!

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Answer 2

Answer:

Step-by-step explanation:

Solution :-

Let the original price of petrol be Rs x per litre.

Then, Quantity of petrol that can be purchased = 1740/x

According to the Question,

⇒ 1740/x - 1740/x + 2 = 1

⇒ 1740(x + 2 - x) = x(x + 2)

⇒ x² + 2x - 3480 = 0

⇒ x² + 60x - 58x - 3480 = 0

⇒ x(x + 60) - 58(x + 60) = 0

⇒(x + 60) (x - 58) = 0

⇒ x = 58, - 60 (Rs. cannot be negative)

⇒ x = Rs. 58

Hence, the original price of petrol is 58 km/h.

1. Petrol is a natural resource which is depleting day by day. So, due to more demand and less supply, its price is increasing.

2. We should use more of public transport and substitute petrol with CNG or other renewable resources.