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The price (per litre) of petrol increases by 70%. By what percent should its consumption be reduced such that the expenditure on it increases by 19% o
Question

The price (per litre) of petrol increases by 70%. By what percent should its consumption be reduced such that the expenditure on it increases by 19% only?

A.

65%

B.

30%

C.

36%

D.

70%

Correct option is B

Given:

Petrol price per litre increases by 70%

Desired increase in expenditure is only 19%

Formula Used:

Expenditure is the product of price and consumption:

Expenditure = Price × Consumption

Solution:

Let:

Original price = 100

Original consumption = 100

=>Original expenditure = 100 × 100 = 10,000

New price = 100 + 70 = 170

New expenditure = 10,000 × 1.19 = 11,900

New consumption = 11900170\frac{11900}{170}​ = 70

Reduction = 100 - 70 = 30

Required reduction % = 10070100×100=30%\frac{100 - 70}{100} \times 100 = 30\% 

Alternate Solution: 

Required reduction% = 170119170×100=30%\frac{170 - 119}{170}\times100 = 30\% ​​

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