# Quantitative Aptitude: Percentage Questions Set 6

1. 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play basketball. If 20% of the men above the age of 50 play basketball, what percentage of the basketball players are less than or equal to 50 years?
80%
75%
70%
85%
None
Option A
Solution:
Let total number of men = 100
Then, 80 men are less than or equal to 50 years old
20 men are above 50 years old.
No of the men above the age of 50 play football=20*20/100=4.
Percentage of men who play football above the age of 50 =4/20*100=20%.
Required %ge=100-20=80%.
2. A’s salary is 60% more than B’s. A got a raise of 40% on his salary while B got a raise of 30% on his salary. By what percent is A’s salary more than B’s?
66%
71.5%
68%
72.3%
None
Option D
Solution:
Ratio A:B=160:100
Raise A=160*40/100=64=224
Raise B=100*30//100=30=130.
130 ………………….. 100
94(224-130) …………….. ?==>72.3%
3. Teacher took exam for English, average for the entire class was 80 marks. If we say that 10% of the students scored 95 marks and 20% scored 90 marks then calcualte average marks of the remaining students of the class.
72
75
69
78
None
Option B
Solution:
Lets assume that total number of students in class is 100 and required average be x.
Then (10 * 95) + (20 * 90) + (70 * x) = (100 * 80)
70x = 8000 – (950 + 1800) = 5250
x = 75.
4. A student scored 170 marks in subject 1. He scored 75% mark in subject 2 and x mark in subject 3. Maximum marks in each subject 200. The overall percentage mark of the student is 80%. How many mark did he score in Subject 3?
175
145
170
160
None
Option D
Solution:
Total mark=170+75% of 200+x
=170+150+x.
Over all %ge=80%
Then 170+150+x=80% of 600[(3*200)] 320+x=480
x=160.
5. Two numbers are less than third number by 30% and 40% respectively. How much percent is the second number less than by the first
13%
15.5%
14.2%
16%
None
Option C
Solution:
Let the third number is x.
then first number = (100-30)% of x
= 70% of x = 7x/10
Second number is (60x/100)=3x/5
Difference = 7x/10 – 3x/5 = x/10
So required percentage is, difference is what percent of first number
7x/10…………….. 100
x/10 ………………. ?==>100/7=14.2%.
6. In a certain school, 10% of students are below 10 years of age. The number of students above 10 years of age is 2/3 of the number of students of 10 years of age which is 54. What is the total number of students in the school?
100
120
130
80
None
Option A
Solution:
Let the no of students be x.
No of students above 10years=90% of x,
90% of x= 54 + 2/3*54
90/100x=90
x=100.
7. Two numbers A and B are such that the sum of 10% of A and 15% of B is two-third of the sum of 19% of A and 20% of B. Find the ratio of A : B.
4:9
9:4
8:5
5:8
None
Option D
Solution:
10% of A + 15% of B= 2/3(19% of A + 20% of B)
10/100A+15/100B=2/3*19/100A+2/3*20/100B
10/100A-2/3*19/100A=2/3*20/100B-15/100B
(15A-19A)/150= (8B-9B)/60
A:B=5:8.
8. In an election between two candidates, one got 60% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 9000, the number of valid votes that the other candidate got, was
2980
3150
2880
3200
None
Option C
Solution:
Number of valid votes=80% of 9000=7200.
Vote polled for Other candidate =(100-60) 40% of 7200
=40/100*7200=2880.
9. In a hotel, 50% had vegetarian lunch while 30% had non-vegetarian lunch and 20% had both type of lunch. If 120 people were present, how many did not eat either type of lunch ?
48
36
42
30
None
Option A
Solution:
Let A be Vegetarian and B be non-vegetarian
n(A)=50/100*120=60
n(B)=30/100*120=36
n(both a and B)= 20/100*120=24
n(either A or B)=60+36-24=72.
So People who do no have either lunch were = 120 -72
= 48.
10. Shravan’s Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems. Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly, still he got less than 60% problems right. How many more questions he would have to answer more to get passed
8
5
6
10
None
Option B
Solution:
Number of questions attempted correctly = (70% of 10 + 40% of 30 + 60% of 35)
= 7 + 12 + 21 = 40.
Questions to be answered correctly for 60% = 60% of total questions
= 60 % of 75 = 45.
He would have to answer 45 – 40 = 5.

## 6 Thoughts to “Quantitative Aptitude: Percentage Questions Set 6”

1. AmRITa @ bank po

No1&3 types nahi hote mam mujse

1. jaga

q3.total student 100 lo aur age ko x leke karo …

1. AmRITa @ bank po

Can u do it plz..

1. jaga

1. AmRITa @ bank po
2. jaga