Latest CAT Aptitude Question SOLUTION: Krishna Iyer, a motorist uses 24% of his fuel in covering the first 20% of his total journey (in city driving conditions). If he knows that he has to cover another 25% of his total

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Krishna Iyer, a motorist uses 24% of his fuel in covering the first 20% of his total journey (in city driving conditions). If he knows that he has to cover another 25% of his total journey in city driving conditions, what should be the minimum percentage increase in the fuel efficiency for non-city driving over the city driving fuel efficiency, so that he is just able to cover his entire journey without having to refuel? (Approximately)

Asked In CAT Sayanora (4 years ago)

Solved Devendra Marghade Read Solution (1)

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Devendra Marghade  (4 years ago) Best Solution

43.48%

Let there be 100 ltr. fuel and journey distance=100 km.
Given, in city driving conditions, for first 20 km, 24 ltrs. fuel is used.
So for next 25 km fuel required=24*25/20=30 ltrs.
Thus, in city driving conditions, total journey=20+25=45 km & fuel used=24+30=54 ltrs.
Fuel efficiency=45/54=5/6 km/ltr
Now, remaining, 55 km is to be covered in 100-54=46 ltrs. Required fuel efficiency=55/46 km/ltr.
Hence, % increase in the fuel efficiency=[(55/46 - 5/6)/(5/6)]*100=1000/23=43.48%

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