Question

Price of petrol increased by 20%,

and a man is willing to increase his

expenditure by x%. If he reduces

the consumption by 12%, what is

the value of x?

a) 8% b) 5.6%

c) 6% d) 2.8%

Answer 1

Given :- Price of petrol increased by 20%, and a man is willing to increase his expenditure by x%. If he reduces the consumption by 12%, what is the value of x ?

a) 8%

b) 5.6%

c) 6%

d) 2.8%

Solution :-

we know that,

• Price * consumption = Expenditure .

so, Let initial price of petrol is Rs.10x and let initial consumption is Rs.10y .

so,

→ P * C = E

→ 10x * 10y = 100xy (Initial expenditure)

now,

→ New price = 120% of 10x = (120 * 10x)/100 = Rs.12x

→ New consumption = 88% of 10y = (88 * 10y)/100 = Rs.8.8y

then,

→ New expenditure = 12x * 8.8y = Rs.105.6xy

therefore,

→ Expenditure increased by = 105.6xy - 100xy = Rs. 5.6xy

hence,

→ Expenditure increased by = (5.6xy * 100)/100xy = 5.6% (b) (Ans.)

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