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

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

Question : 6 [SSC SO 2005]

In 50 gm alloy of gold and silver, the gold is 80% by weight. How much gold should be mixed to this alloy so that the weight of gold would become 95% ?

a) 10 gm

b) 200 gm

c) 150 gm

d) 50 gm

Initial quantity of gold

= \${50 × 80}/100\$ = 40 gm

Let 'x ' gm be mixed.

\$(40 + x) = (50 + x) × 95/100\$

\$40 + x =(50 + x) × 19/20\$

800 + 20x = 950 + 19x

x = 150 gm

Question : 7 [SSC CHSL 2010]

40 litres of a mixture of milk and water contains 10% of water, the water to be added, to make the water content 20% in the new mixture is :

a) 5 litres

b) 6 litres

c) 6.5 litres

d) 5.5 litres

Water content in 40 litres of mixture = \$40 × 10/100\$ = 4 litres

Milk content = 40 – 4 = 36 litres

Let x litres of water is mixed.

Then, \${4 + x}/{40 + x} = 20/100\$

\${4 + x}/{40 + x} = 1/5\$

20 + 5x = 40 + x

4x = 20 ⇒ x = 5 litres

Question : 8 [SSC CGL Prelim 2008]

The ratio in which two sugar solutions of the concentrations 15% and 40% are to be mixed to get a solution of concentration 30% is

a) 9 : 8

b) 2 : 3

c) 3 : 2

d) 8 : 9

Required ratio = 10 : 15 = 2 : 3

Question : 9 [SSC CGL 2013]

15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of Water is mixed in it, the percentage of alcohol in the new mixture will be

a) 18\$1/2\$%

b) 15%

c) 16\$2/3\$%

d) 17%

Alcohol =15 × \$1/5\$ = 3 litres

Water =15 × \$4/5\$ = 12 litres

Required percentage = \$3/{15 + 3} × 100\$

= \$50/3 = 16{2}/3%\$

Question : 10 [SSC CGL Prelim 2002]

In an alloy there is 12% of copper. To get 69 kg of copper, how much alloy will be required ?

a) 1736\$2/3\$kg

b) 424 kg

c) 575 kg

d) 828 kg

12 kg copper is contained in 100 kg of alloy

69 kg copper is contained in

\$100/12 × 69\$ = 575 kg of alloy

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