Percentage
- In a certain school, 10% of the students have less than 75% attendance and are not allowed to sit in the exam, but 20% of the students who have less than 75% attendance are allowed to sit in the exam. What percent of the students in the school have less than 75% attendance ?
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Let the number of students with less than 75% attendance = y
Total students in school = x
According to the question,x + y = y 10 5 ⇒ x = y - y = 4y 10 5 5 ⇒ x = 4y ⇒ y = 1 2 x 8 ⇒ y × 100 = 100 = 12.5% x 8 Correct Option: B
Let the number of students with less than 75% attendance = y
Total students in school = x
According to the question,x + y = y 10 5 ⇒ x = y - y = 4y 10 5 5 ⇒ x = 4y ⇒ y = 1 2 x 8 ⇒ y × 100 = 100 = 12.5% x 8
- There are 1400 students in a school, 25% of them wear spectacles and
2 of them wearing 7
spectacles are boys. How many girls in the school do wear spectacles ?
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Number of students who wear spectacles
= 1400 × 25 = 350 100
∴ Girls who wear spectacles= 
1 - 2 
of 350 7 = 350 × 5 = 250 7 Correct Option: A
Number of students who wear spectacles
= 1400 × 25 = 350 100
∴ Girls who wear spectacles= 1 - 2 of 350 7 = 350 × 5 = 250 7
- If 60% of the students in a school are boys and the number of girls is 812, how many boys are there in the school?
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Percentage of boys = 60%
∴ Percentage of girls = 40%
Boys : Girls = 60 : 40 = 3 : 2
Number of girls = 812
∴ Number of boys= 3 × 812 = 1218 2 Correct Option: B
Percentage of boys = 60%
∴ Percentage of girls = 40%
Boys : Girls = 60 : 40 = 3 : 2
Number of girls = 812
∴ Number of boys= 3 × 812 = 1218 2
- A scored 72% in a paper with a maximum marks of 900 and 80% in another paper with a maximum marks of 700. If the result is based on the combined percent- age of two papers, the combined percentage is
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Marks scored by A :
First subjec ⇒ 900 × 72 = 648 100 Second subjec ⇒ 700 × 80 = 560 100
Total marks scored = 648 + 560 = 1208
Total maximum marks = 900 + 700 = 1600
∴ Required per cent= 1208 × 100 = 75.5% 1600 Correct Option: A
Marks scored by A :
First subjec ⇒ 900 × 72 = 648 100 Second subjec ⇒ 700 × 80 = 560 100
Total marks scored = 648 + 560 = 1208
Total maximum marks = 900 + 700 = 1600
∴ Required per cent= 1208 × 100 = 75.5% 1600
- In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% failed in both. Find the percentage of those students who passed in both the subjects ?
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Percentage of failures either in 1 subject or both subjects
= (35 + 45 – 20)% = 60%
∴ Percentage of the successful
= (100– 60)% = 40%Correct Option: D
Percentage of failures either in 1 subject or both subjects
= (35 + 45 – 20)% = 60%
∴ Percentage of the successful
= (100– 60)% = 40%
