Rajeev shifted to Bangalore from Delhi, where he has to travel 10% more distance than he was travelling earlier in Delhi. If the petrol price also increased by 25% and Mileage of his car also decreased by 12.5%, then minimum how many days should he work from home now out of the 23 days that he was working earlier in order to not increase his expenditure on petrol.
- 8 days
- 7 days
- 5 days
- 9 days
Answer: (4) 9 days Solution: Initial Values are as following E= PC Expenditure = E, Petrol price = P , Consumption of petrol = C, Mileage = M now first C is inversely proportional to M. ( when mileage decreased consumption increases) and C is directly proportional to distance new mileage = 12.5% less = 1/8 less = 7/8 M ; distance = 10% more = 1/10 more = 11/10 So new consumption = (8/7)*(11/10) C = 44/35C ; new price = 25% more = 1/4 more = 5/4 P Also new E = 44/35*(5/4) PC = 11/7 PC it means he should now travel for 7/11 days only = 7/11*23 = 14.63 days hence he should work from home for atleast 9 days.
