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 %
= 66^{2}/_{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 %
= 75^{25}/_{53} %Percentage of the given Quantity
How much Percentage One Quantity is of Another?
Real Life Problems on Percentage
8th Grade Math Practice
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