Question
The average weight of a class of 40 students is 30 kg and that of a class of 20 students is 15 kg. Find the average weight of both the classes combined.
20
25
17.5
15

Solution
Correct option is 25

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Question
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole, The quantity sold at 18% profit is -
400 kg
560 kg
600 kg
640 kg

Solution
Correct option is 600 kg

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Question
8 liters of water is added to 32 liters of a solution containing 20% alcohol. Now what is the approximate percentage of alcohol in this solution?
24%
16%
8%
12%

Solution
Correct option is 16%

In 32 liters of solution, alcohol $=\dfrac { 32\times 20}{100}= 6.4$ liter on adding 8 liters of water, the required percentage $\dfrac {6.4 }{ 40}\times100 = 16$%

Question
Three liters of sugar solution contains 60 percent sugar. If one liter of water is added to this solution, then what will be the percentage of sugar in the new solution?
30
45
50
60

Solution
Correct option is 45

Sugar in 3 liters of mixture $\dfrac {60 }{ 100 }\times 3= 1.8$ liter In mixture by adding one liter of water = 4 liters 4 liters mixture in which sugar % $= \dfrac {1.8}4\times 100= 45$%

Question
Spirit and water in a mixture are in the ratio 3 : 2. If it contains 3 liters more spirit than water, then the quantity of spirit in the mixture is -
10 liters
12 liters
8 liters
9 liters

Solution
Correct option is 9 liters

Spirit : Water =3 : 2 1 Unit = 3 L. [1 unit more than spirit and water] 3 units = 3 x 3 = 9 liters

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