Question
A petrol station mixes 60 liters of petrol and diesel in
the ratio of 2:1. After dispensing 24 liters of the mixture, 18 liters of petrol are added. Following this, 30 liters of the mixture are sold, and 12 liters of petrol are added. What percentage of the final quantity of diesel is in the final mixture?(Can calculate approximate value)Solution
ATQ, Petrol in 60 liters = (2/3) Ă— 60 = 40 liters Diesel in 60 liters = (1/3) Ă— 60 = 20 liters Petrol in 24 liters = 24 Ă— (2/3) = 16 liters Diesel in 24 liters = 24 Ă— (1/3) = 8 liters After adding 18 liters, Petrol quantity = 40 - 16 + 18 = 42 liters Diesel quantity = 20 - 8 = 12 liters Now the ratio of petrol and diesel = 42:12 = 7:2 Petrol in 30 liters = 30 Ă— (7/9) = 23.33 liters Diesel in 30 liters = 30 Ă— (2/9) = 6.67 liters Final petrol quantity = 42 - 23.33 + 12 = 30.67 liters Diesel quantity = 12 - 6.67 = 5.33 liters Required percentage = (5.33/30.67) Ă— 100 = 17.39%
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