Bunuel
A 20 kilograms mixture of dry fruits consisting of x percent of almonds is formed by mixing 'a' kilograms of mixture A and 'b' kilograms of mixture B. If mixture A consists of 'y' percent of almonds and mixture B consists of 20% of almonds, what is the weight of almonds in kilograms in mixture A? Assume that each mixture has a uniform composition, that is, samples taken from any part in a mixture will have the same composition as the overall mixture.
(1) The amount of almonds in mixture B is three-fifths of the total weight of mixture A
(2) If the weight of the final mixture is reduced by 25 percent, the almonds in the final mixture would reduce by 1.5 kilograms
Total mixture = 20 kgs.
Amount of almonds in it = (20*x)/100
Weight of mix A taken = a
Weight of mix B taken = b
a+b = 20. |eq1
% of almonds in a = (a*y)/100
% of almonds in b = (b*20)/100
So, (a*y)/100 + (b*20)/100 = (20*x)/100
a*y + b*20 = 20*x
We need to find what is the weight of almonds in kilograms in mixture A
i.e a*y = ?
a*y = 20*x-20*b =?(1) The amount of almonds in mixture B is three-fifths of the total weight of mixture A
b/5 = 3/5*a
b = 3a
Putting this into eq 1
we will get 4a = 20
a = 5
b = 15
We don't know the value of x
Not sufficient.(2) If the weight of the final mixture is reduced by 25 percent, the almonds in the final mixture would reduce by 1.5 kilograms
20*(.75) = 15
So amount of almonds in it = 15x
We know 20x - 15x = 1.5
x = 0.3
But we don't know the value of B.
Not sufficient.Combining helps will give us both the values of x and b so a*y can be found out.
Sufficient.C is the answer.