Question

A shopkeeper has two jars P and Q containing almond oil in the ratio 2 : 3 respectively. He mixes '3x' litres and '2x' litres of olive oil in P and Q, respectively, after which the percentage of olive oil in jar P becomes 80% more than that in jar Q. If mixtures from jar P and jar Q are then mixed in the ratio of 3 : 1, what will be the percentage of olive oil in the resultant mixture?

• A. 45%
• B. 44%
• C. 66%
• D. 32%

Answer 1

Answer: (D)

32%

Answer 2

The correct option is (D): 32%.
Let the almond oil in P = 2a and in Q = 3a
$\frac{3x}{(2a + 3x)}$ : $\frac{2x}{(3a + 2x)}$ = 180 : 100
(3a + 2x) : (2a + 3x) = 6 : 5
a : x = 8 : 3
In P, Olive oil/Mixture = $\frac{3x}{(2a + 3x)}$ =$\frac{ 9}{25}$ => 36%
In Q, Olive oil/Mixture = $\frac{2x}{(3a + 2x)}$= $\frac{ 6}{30}$ => 20%
Percentage of Olive oil in the final mixture = (3 * 36% + 1 * 20%)/(3 +1) = 32%