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An automobile owner reduced his monthly petrol consumption when the prices went up. The price-consumption relationship is as follows:  Price (in Rs. per litre) 40 50 60 75  Monthly consumption (in litres) 60 48 40 32 If the price goes up to Rs.80 per litre, his expected consumption (in litres) will be

An automobile owner reduced his monthly petrol consumption when the prices went up. The price-consumption relationship is as follows:  Price (in Rs. per litre) 40 50 60 75  Monthly consumption (in litres) 60 48 40 32 If the price goes up to Rs.80 per litre, his expected consumption (in litres) will be Correct Answer 30

From the table 

In every condition, 

Expenditure of an automobile owner per month 

Expenditure in first condition = 40 × 60 = Rs 2400 

Expenditure in 2nd condition = 50 × 48 = Rs 2400

Expenditure in 3rd condition = 60 × 40 = Rs 2400

Expenditure in 4th condition = 75 × 32 = Rs 2400 

so, If price goes up to Rs 80 per litre, expenditure is same in all condition 

let consumption of petrol be x 

⇒ 80 × x = 2400 

⇒ x = 30 litres

∴ The required answer is 30 litres  

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