if the price of petrol is increased by 2₹ per litre a person will have to buy 1 litre less petrol for ₹1740 . find the original price of the petrol . state some measures that should be taken to save petrol
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Let the original price of petrol be Rs x
Amount of petrol purchased = Rs 1740
Number of litres purchased = (1740/x)
Given that the price of petrol is increased by Rs 2
Therefore the number of litres of petrol purchased = [1740/(x + 2)]
⇒ 3480 = x2 +2x
⇒ x2 + 2x – 3480 = 0
⇒ x2 + 60x – 58x – 3480 = 0
⇒ x(x + 60) – 58(x + 60) = 0
⇒ (x + 60)(x – 58) = 0
⇒ (x + 60)= 0 or (x – 58) = 0
∴ x = –60 or x = 58
Since amount cannot be negative, x = 58
Thus the original price of petrol is Rs 58 per litre
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