Problema Solution

If the price of petrol increases by 25% and Rajesh intends to spend only 15% more on petrol.By how much percent should he reduce the quantity of petrol that he buys?

Answer provided by our tutors

Let the initial cost of 1 liter be A


Cost after increase = 1.25A (25% increase)


Let Rajesh’s initially buy be ‘B’ liters of petrol

Initial spent = AB


Increase in spent = 15%,

Current spent = 1.15 AB (15% increase)


Let the number of liters he is buying now is C. Therefore


1.25AC = 1.15 AB divide both sides by A


1.25 C = 1.15 B


C = 0.92B, which means that current consumption is 92% of earlier consumption,


therefore Rajesh has reduced his consumption by 8 %.