In a blend of oil and diesel, the amount of diesel constitutes 80% of the quantity of oil present. Additional quantities 'p' liters of oil and 'q' liters of diesel are introduced to the mixture in a way that the ratio of the oil quantity to the diesel quantity remains constant. What are the potential values for 'p' and 'q'?

I. 25:20

II. 30:18

III. 10:12

Solution

ATQ, Let the initial quantity of oil in the mixture be 100a litres Therefore, initial quantity of diesel in the mixture = 0.8 × 100a = 80a litres Ratio of quantity of oil to that of diesel = 100a:80a = 5:4 Therefore, p:q must be equal to 5:4 such that ratio of oil to diesel in the resultant mixture remains same. For I: (p:q) = 25:20 = 5:4 Therefore, I is possible. For II: (p:q) = 30:18 = 5:3 Therefore, II is not possible For III: (p:q) = 10:12 = 5:6 Therefore, III is not possible.