# Model 10 Percentage With Allegations & Mixture Practice Questions Answers Test With Solutions & More Shortcuts

#### PERCENTAGE PRACTICE TEST [11 - EXERCISES]

Question : 21 [SSC CPO SI 2016]

A sugar solution of 3 litre contain 60% sugar. One liter of water is added to this solution. Then the percentage of sugar in the new solution is:

a) 60

b) 30

c) 45

d) 50

Quantity of sugar in the solution = \${3 × 60}/100 = 1.8\$units

On adding 1 litre of water,

Required percent = \$1.8/4 × 100 = 45%\$

Question : 22

20 litres of a mixture contains 20% alcohol and the rest water. If 4 litres of water be mixed in it, the percentage of alcohol in the new mixture will be

a) 12\$1/2\$%

b) 33\$1/3\$%

c) 16\$2/3\$%

d) 25%

In 20 litres of mixture,

Alcohol = \${20 × 20}/100 = 4 litres\$

Water = 20 - 4 = 16 litres

On adding 4 litres of water,

Quantity of water = 16 + 4 = 20 litres

Quantity of mixture = 24 litres

Required percent

=\$4/24 × 100 = 50/3 = 16{2}/3%\$

Question : 23

In one litre of a mixture of alcohol and water, water is 30%. The amount of alcohol that must be added to the mixture so that the part of water in the mixture becomes 15% is :

a) 900 ml

b) 1000 ml

c) 700 ml

d) 300 ml

In 1 litre i.e. 1000 ml of mixture,

Alcohol = 700 ml. Water = 300 ml.

Let x ml of alcohol is mixed.

\$300/{1000 + x} ×100 = 15\$

1000 + x = 2000 ⇒ x = 1000 ml.

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