Table of Contents
MIXTURE & ALLIGATION
(Set – 3)
1) When one litre of water is added to a mixture of acid and water, the new mixture contains
20% acid. When one litre of acid is added to the new mixture, then the resulting mixture contains
33(1/3)% acid. The percentage of acid in the original mixture was
(a) 15% (b) 10% (c) 20% (d) 25% (e) None of these
2) If goods are purchased for Rs.450 and 1/3rd be sold at a loss of 10%. What percent of profit
should be taken on the remainder so as to gain 20% on the whole transaction?
(a) 15% (b) 10% (c) 35% (d) 25% (e) None of these
3) In what proportion must water be mixed with milk to gain 20% by selling it at cost price?
(a) 1 : 5 (b) 1 : 2 (c) 3 : 5 (d) 2 : 5 (e) None of these
4) Two gallons of a mixture of spirit and water contain 12% of water. They are added to 3 gallons
of another mixture, containing 7% of water and half a gallon of water is then added to the whole.
Find the percentage of water in the resulting mixture.
(a) 17(3/11) (b) 18(1/11) (c) 13(2/11) (d) 21(2/11) (e) None of these
5) There are 2 bottles containing a mixture of wine, water and alcohol. The first bottle contains
wine, water and alcohol in the ratio 3 : 5 : 2. The second bottle contains water and wine in the
ratio 5 : 4. 1 litre of the first and 2 litres of the second are mixed together. What fraction of the
mixture is alcohol?
(a) 1/15 litres (b) 6/13 litres (c) 2/15 litres (d) 6/19 litres (e) None of these
6) Two mobile phones were purchased at the same price, One was sold at a profit of 30% and the
second was sold at a price which was Rs.2500 less than the price at which the first was sold. If the
overall profit earned by selling both the mobile phones was 5%, what was the CP of one mobile
phone?
(a) 6000 (b) 5000 (c) 7000 (d) 8000 (e) None of these
7) A man sold two commodities each for the same price, and on the whole he neither gains nor
loses. If he sold one so as to gain 25%; find the percentage profit or loss on the other commodity?
(a) 16(2/3)%, profit (b) 16(2/3)%, loss (c) 33(1/3)%, loss
(d) 33(1/3)%, profit (e) None of these
Mixture and Alligation
(Set – 3)
8) In certain mixture of milk and water; 40% is water. When 21 liters of mixture is removed and
then 21 liters of water is added; the water becomes 75% in the mixture. Find :
1. The Final quantity of the mixture.
2. The Initial Quantity of the Mixture
(a) 38 (b) 32 (c) 37 (d) 36 (e) None of these
9) In certain mixture of milk ad water; 40% is water. When 15 liters of mixture is removed and
then 21 liters of water is added; the water becomes 75% in the mixture. Find :
1. The Final quantity of the mixture.
2. The Initial Quantity of the Mixture.
(a) 38, 36 (b) 32, 30 (c) 36, 30 (d) 30, 15 (e) None of these
10) There are two alloys A and B. Alloy A contains zinc, copper and silver, as 80% 15% and 5% respectively,
whereas alloy B also contains the same metals with percentages 70%, 20%, 10% respectively.
If these two alloys are mixed such that the resultant will contain 8% silver, what is the
ratio of these three metals in the resultant alloy?
(a) 38 : 11 : 4 (b) 32 : 13 : 8 (c) 37 : 9 : 4 (d) 38 : 15 : 4 (e) None of these
11) There are two alloys consisting of zinc, copper and tin. The first alloy contains 25% zinc and
the second alloy contains 50% copper. The percentage of tin in the first alloy is twice that in the
second alloy. 200 kg of the first alloy and 300 kg of the second are melted together. The new alloy
contains 28% tin. How many kg of copper are there in the new alloy?|
a) 190 kg b) 200 kg c) 180 kg d) 220 kg e) None of these
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