## Mar 14, 2009

### Percent - Simple Word Problems

1) Nova school students are good players of Soccer. They won 16 games out of 20 played. Find the percentage of games won by Nova school students.

Solution:
Total number of games = 20
Number of games won = 16
Fraction of games won = 16 out of 20 = 16/20
% of games won = 16/20­­­­­* 100 = 1600/­­20 = 80%
Percentage of games won by Nova school students = 80

2) In a play school, 12 balls are red, 14 balls are green, 16 balls are white and 8 balls are blue. Find the percentage of i) Blue balls and ii) White balls

Solution:
Total number of balls = 12 + 14 + 16 + 8 = 50
i) Number of Blue balls = 8
Fraction of Blue balls = 8 out of 50 = 8/50
% of Blue balls = 8/50* 100 = 800/50 = 16%
Percentage of Blue balls = 16%
ii) Number of White balls = 16
Fraction of White balls = 16 out of 50 = 16/50
% of White balls = 16/50* 100 = 1600/50= 32%
Percentage of White balls = 32%

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Practice questions:

1) Shop keeper bought 250 apples. He sold 75 apples for \$30, 23 apples for \$8.05, 82 apples for \$24.6 and remaining apples were spoiled.
i) What percent of apples were spoiled?
ii) What percent of apples were sold for \$30?
iii) What percent of apples were sold for \$82

2) In a lucky draw, Paul won \$1250. He spent \$250 on watch, \$150 on clothes, \$350 on car moderation and saved the rest.
i) What percent of money he saved?
ii) What percent of money he spent on watch?
iii) What percent of money he spent on car moderation?

3) In a certain town, poll is conducted; Party A and Party B were only two nominees. Party A won by 12500 votes. Party B had been voted by 125000 people. No wrong votes were registered.
i) Find the percentage of lead by Party A

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Solution:
Percentage of cookies given = 36%
Convert percentage into decimals by dividing 36 by 100
36% = 0.36
= 36% of 25
= 0.36 * 25
= 9

4) In a garden, 20% of trees are Guava, 35% of trees are Orange and rests of the trees are Mango.
If there are 500 trees in total, find the number of Mango trees.

Solution:
Total number of trees = 500
Percentage of Guava trees = 20%
Percentage of Orange trees = 35%
Percentage of Mango trees = 100% - 20% - 35% = 45%
Convert percentage into decimals by dividing 45 by 100
45% = 0.45
Number of Mango trees
= 45% of 500
= 0.45 * 500
= 225
There are 225 Mango trees.
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Practice questions:

1) An old rich man holds property worth \$2 million. He gave 38% of his property to his grand children, 5% to educational trust, 30% to his children.
i) What is the worth of property his children can get?
ii) What is the worth of property educational trust can get?

2) A shop keeper ordered 1550 books of which 24% are story books, 44% are computer books and rest are related with other topics.
i) Find the number of story books.
ii) Find the number of computer books.
iii) Find the number of books related with other topics.