Question

if the price of petrol is increased by ₹ 2 per litre ,a person would get one litre less petrol for ₹ 1740. find the original price of petrol

Answer 1

hope this will help you

Answer 2

Answer:

Original price = Rs.58

Step-by-step explanation:

Given : If the price of petrol is increased by ₹ 2 per liter ,a person would get one litre less petrol for ₹ 1740.

To find : The original price of petrol?

Solution :

Let the original cost of petrol be 'x'

Price for the petrol he purchased = Rs 1740

So, number of Litres = $\frac{1740}{x}$

It is also said that price is increase by 2 = x+2

Therefore number of Litres = $\frac{1740}{x+2}$

It is also given that 1 litre is less while buying with the increased price.

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,