ALLIGATIONS AND MIXTURES PBT TEST
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1.
Nikhil has a variety of pulses which weighs 500 kg. He sold 3/4th of them at a price of Rs. 42 per kg
and rest at a certain price. At what price must he sell the remainder so as to get the resultant
mixture costing 35 per kg?
12
24
14
18
2.
Two types of gold is available. One is 24 carats purity. Other is 36 carats purity. They are mixed in the
ratio of 5:7. What the purity of new mixture ?
32
28
31
35
3.
Two bottles A and B contain diluted ammonium nitric acid. In bottle A, the amount of water is double
the amount of acid while in bottle B, the amount of acid is 3 times that of water. How much mixture
Should be taken from each bottle in order to prepare 5 litres of diluted sulphuric acid containing
equal amount of acid and water?
1, 4
3, 2
2, 3
4, 1
4.
A goldsmith has two qualities of gold, one of 20 carats and other of 32 carats purity. In what
proportion should they be mixed to get gold of 24 carats purity?
3:07
3:01
4:05
2:01
5.
Rice is 15 times as heavier as water and Wheat is 25 times as heavier as water. Find the ratio in which
they should be mixed in order to form a mixture 18 times as heavier as water.
3:6
3:8
7:3
7:9
6.
5 rupees of rice is mixed with 9 rupees of rice in the ratio of 3:1. What the price of resultant mixture?
6
7
8
None of these
7.
Cask R contains wine and water in the ratio 1:4 and cask S in the ratio 2:5. In what ratio must the
contents of the two casks be mixed to give a mixture of wine and water in the ratio 18:17?
6:09
11:12
5:09
8:11
8.
In what ratio must coffee at Rs 93 per Kg be mixed with coffee at Rs 108 per Kg so that the mixture
be worth Rs 100 per Kg?
8 : 7
1 : 5
7 : 8
1 : 10
9.
A shopkeeper has two varities of wheat flour. One is weighing 25 kgs and other is 37 kg. In what ratio
should he combine them such that he gets a new variety which will weigh 33Kg?
4:7
3:7
5:9
2:9
10.
Sai purchased 50 kg of wheat at the rate of Rs. 20 per kg and 50 kg of wheat at the rate of Rs. 15 per
kg. He mixed the two and sold the mixture. Approximately what price per kg should he sell the
mixture to make 20% profit?
21
15
16
17
11.
In what ratio must water be mixed with milk costing Rs.36 per liter to obtain a mixture worth Rs. 15
per liter?
1:8
7:05
4:09
4:03
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12.
Nishant has two varieties of milk. One weighs 20 L costing 15 per litre and other 23 per litre. He mixes
both of them and makes a new mixture which costs 18 per litre. What is the weight of other mixture?
9litres
12litres
15litres
24litres
13.
15 kg of rice at Rs. 7 per kg is mixed with 25 kg of rice at Rs. 10 per kg. Find the average price of the
mixture
7.99
4.66
5.66
8.87
14.
A person has two quanlities of copper. One is of 60% pure and other is 23% pure. In what ratio
should he mix two quantities such that he gets copper which is 58% pure?
2:33
35:2
39:7
7:38
15.
Milk and water in two vessels P and Q are in the ratio 3:7 and 5:4 respectively. In what ratio the liquids
in both the vessels should be mixed to obtain a new mixture in vessel R containing half milk and half
water.
6:07
3:04
5:18
8:11
16.
In what ratio must a grocer mix two varieties of pulses costing Rs. 50 and Rs. 75 per kg respectively.
So as to get a mixture worth Rs. 65
2:03
4:05
4:06
7:05
17.
A businessman sold 1/5 of his stock at a gain of 20% and the rest at a gain of 14%. The overall
percentage of gain to the businessman is
13%
15.20%
17%
19%
18.
A man has goods worth Rs.1000 and sold half of them at a profti of 16% and other at a certain profit.
At what percentage must he sell the remainder so as to get a gain of 25%?
32%
37%
35%
34%
19.
One quantity of pulses at Rs. 4.5 is mixed with another quantity at a certain rate in the ratio 4:1. If the
mixture so formed be worth Rs. 5.5 per kg, What is the rate per kg of the second quality of pulses?
8.5
9.5
6.5
None of these
20.
A liquid is availabe in two different prices. One is 27 per litre and other is 52 per litre. They are mixed
in the ratio of 3:22. What the price of new mixture per litre?
47
51
35
49
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21.
Pulses of type A costs 12 per kg and pulses of type B costs 21 per kg. They are mixed in the ratio of
2:1. What is the price of new mixture per kg?
13
16
15
18
22.
Cask A has gold and zinc in the ratio 6:5 and cask B has gold and zinc in the ratio 9:2. In what ratio
should they be mixed such that the resultant mixure has gold and zinc in the ratio 7:4?
1:3
2:5
3:7
2:1
23.
Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio
in which these mixture be mixed to obtain a new mixture in vessel c containing spirit and water in the
ratio 8:5?
7 : 9
1 : 5
3 : 4
3 : 4
24.
In what ratio must a grocer mix two varieties of pulses costing Rs. 20 and Rs. 28 per kg respectively
so as to get a mixture worth Rs. 24.6?
17:23
15:22
18:24
19:25
25.
A person sells two varities of milk. One costs him 25 per litre and other costs him 36 per litre. He
mixes both the varities in the ratio of 9:2. What is the price of new mixture per litre?
25
27
28
29
26.
A jar contains a mixture of two liquids Acid( nitric acid) and Base(ammonium chloride) in the ratio 4 :
1. When 10 litres of the mixture is taken out and 10 litres of liquid Base is poured into the jar, the ratio
becomes 2 : 3. How many litres of liquid Acid was contained in the jar?
16 lt
20 ltr
25 ltr
13 ltr
27.
In what ratio must a person mix 3 kinds of wheat costing time Rs. 10, 18, 32 per kg, so that the mixture
may be worth Rs. 20 per kg
6:30:05
37:34:07
55:66:99
3:02:09
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28.
One quality of rice at Rs. 12 is mixed with another quality at a certain rate in the ratio of 4:3 . If the
mixture so formed be worth Rs.9 per kg, What is the rate per kg of the second quality rice?
6
7
8
5
29.
Gold is 28 times as heavier as water and copper is 17 times as heavy as water. Find in what ratio
should the metals be mixed in order to form an alloy 22 times as heavy as water
8:5
5:6
5:3
4:5
30.
In what ratio must a grocer mix two varieties worth 47 per kg and 58 per kg so that by selling the
mixture at Rs.60 a profit of 20% happens?
3:5
3:7
8:3
8:1
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