# Problems on Percentage

Problems on percentage:

1. A team lost 25 % of the matches it played. If it won 15 matches, find the number of matches it played.

Solution:

Percentage of matches lost = 25 %

Therefore Percentage of matches won (100 - 25) % = 75 %

Let the number of matches played be m.

Then 75 % of m = 15

75/100 × m = 15

m = (15 × 100)/75 %

m = (1500)/75 %

m = 20 %

Therefore, the total number of matches played is 20.

2. In a plot of 6000 sq. m., only 4500 sq. m. is allowed for construction. What percent of the plot is to be left without construction?

Solution:

Percentage of plot allowed for construction = (4500/6000 × 100) % = 75 %.

Thus, the percentage of plot to be left without construction = 100 % - 75 % = 25 %.

3. A number is reduced by 100 %. Its present value is 270. What was its original value?

Solution:

Original value is percentage = 100 %.

Reduce amount in percentage = 10 %

Therefore, Percent value in percentage = 100 % - 10 % = 90 %.

According to the problem,

90 % of original value = 270.

Therefore, 100 % of original value = 270/90 × 100 = 300.

Thus, the original value was 300.

4. A girl is scored 60 out of 75 in English, 60 out of 90 in mathematics and 80 out of 100 in Science. Find girls score as percentage:

(i) in Mathematics

(ii) in all the three subjects (on the whole).

Solution:

(i) Percentage scored in Mathematics = 60/90 × 100 %

= 6000/90 %

= 200/3 %

= 662/3 %

(ii) Total maximum of all the three subjects = 75 + 90 + 100 = 265 and

Total score in the three subjects = 60 + 60 + 80 = 200

Therefore, percentage on the whole = (200/265 × 100) %

= (20000/265) %

= 4000/65 %

= 7525/53 %

Fraction into Percentage

Percentage into Fraction

Percentage into Ratio

Ratio into Percentage

Percentage into Decimal

Decimal into Percentage

Percentage of the given Quantity

How much Percentage One Quantity is of Another?

Percentage of a Number

Increase Percentage

Decrease Percentage

Basic Problems on Percentage

Solved Examples on Percentage

Problems on Percentage

Real Life Problems on Percentage

Word Problems on Percentage

Application of Percentage