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 Most Important Multiple Choice Questions
 Online Percentage Exercise with Correct Answer Key and Solutions
 Useful for all Competitive Exams
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Question 1 of 20
1. Question
It costs Rs 1 to photocopy a sheet of paper. However, 2% discount is allowed on all photocopies done after first 1000 sheets. How much will it cost to copy 5000 sheets of paper?
Hint
Total cost
= Rs [1 × 1000 + (100 – 2)% of 1 × 4000]
= Rs (1000 + 0.98 × 4000)
= Rs (1000 + 3920) = Rs 4920.

Question 2 of 20
2. Question
Ravi’s salary is 150% of Amit’s salary. Amit’s salary is 80% of Ram’s salary. What is the ratio of Ram’s salary to Ravi’s salary?
Hint
Let the salary of Ram be Rs 100.
Then, salary of Amit = Rs 80 and salary of Ravi = Rs 120
Ratio of Ram’s salary to Ravi’s salary
= 100 : 120 = 5 : 6

Question 3 of 20
3. Question
The population of a village is 10,000. If the population increases by 10% in the first year, by 20% in the second year and due to mass exodus, it decreases by 5 % in the third year, what will be its population after 3 years?
Hint
Population after 1st year
=
= 11000
Population after 2nd year
=
Population after 3rd year
=
Hence, population after 3rd year
= 12, 540.

Question 4 of 20
4. Question
At a college entrance examination each candidate is admitted or rejected according to whether he has passed or failed the test. Of the candidates who are really capable, 80% pass the test and of the incapable, 25% pass the test. Given that 40% of the candidates are really capable, then the proportion of capable college students is about
Hint
Suppose there are 100 candidates for entrance.
∴ No. of capable candidates = 40 and No. of incapable candidates
= 100 – 40 = 60
Now, no. of capable candidates who pass the test
= 80% of 40 = 32
No. of incapable candidates who pass the test
= 25% of 60 = 15
Note that these successful candidates become college students.
Thus, there are 32+15 = 47 college students in all, of which 32 are capable.
Hence, Proportion of capable college students

Question 5 of 20
5. Question
In a housing society, 30 per cent of the residents are men over the age of 18 and 40 per cent are women over the age of 18. If there are 24 children living in the housing society, then how many total residents live?
Hint
30% of the residents are children.
∴ 30% of the total residents = 24
∴ Total number of residents in the society

Question 6 of 20
6. Question
In a class, 40% of the boys is same as ½ of the girls and there are 20 girls. Total number of students in the class is :
Hint
40 % of boys = girls
⇒ 40% of boys = 10 girls
Total no. of boys = 25
∴ Total number of students
= 25 + 20 = 45

Question 7 of 20
7. Question
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is ⅔ of the number of students of 8 years age which is 48. What is the total number of students in the school?
Hint
Let the number of students be x. Then,
Total number of students of 8 years and above 8 years
= (100 – 20)% of x = 80% of x.
∴ 80% of x = 48 + 2/3 of 48
⇒ = 80
⇒ x = 100.

Question 8 of 20
8. Question
A positive number is by mistake divided by 6 instead of being multiplied by 6. What is the % error on the basis of correct answer?
Hint
Let the number be x. Then, % error

Question 9 of 20
9. Question
From the salary of an officer, 10% is deducted as house rent, 20% of the rest, he spends on conveyance, 20% of the rest he pays as income tax and 10% of the balance, he spends on clothes. Then , he is left with Rs 15,552. Find his total salary.
Hint
Let the total salary be Rs x.
Then, (100 – 10)% of (100 – 20)% of (100 – 20)% of (100 – 10)% of x = 15552

Question 10 of 20
10. Question
40% of the people read newspaper X, 50% read newspaper Y and 10% read both the papers. What percentage of the people read neither newspaper?
Hint
n(A) = 40, n(B)
= 50, n(A ∩ B) = 10.
n(A ∪ B) = n (A) + n (B) – n(A ∩ B)
= 40 + 50 – 10 = 80.
∴ Percentage reading either or both newspapers = 80%.
Hence, percentage reading neither newspaper
= (100 – 80)% = 20%

Question 11 of 20
11. Question
40% of the students in a college play basketball, 34% of the students play tennis and the number of students who play both the games is 234. The number of students who neither play basketball nor tennis is 52%. Determine the total number of students in the college.
Hint
Let the number of students be 100.
Then number of students who play both the games
= (34 + 40) – (48) = 26
If 26 students play both the games, then the total number of students = 100
Therefore, if 234 students play both the games, then the total number of students
=

Question 12 of 20
12. Question
In a factory, producing parts of an automobile, the parts manufactured on the shop floor are required to go through quality checks, each conducted after a specific part of the processing on the raw material is completed. Only parts that are not rejected at one stage are put through subsequent stages of production and testing. If average rejection rates at these three testing stages during a month are 10%, 5% and 2% respectively, then what is the effective rejection rate for the whole plant?
Hint
Let the total no. of parts produced at initial stage be 100.
Then after three successive percentage rejections of 10%, 5% and 2%, we have
100 × 0.9 × 0.95 × 0.98 = 83.79
Therefore, a single effective rejection
= 100 – 83.79 = 16.21

Question 13 of 20
13. Question
When 7% of the total quantity of wheat is lost in grinding when a country has to import 6 million tonnes, but when only 5⅕% is lost, it can import 3 million tonnes. Find the quantity of wheat grown in the country.
Hint
Let x be the total grown quantity of wheat.
∴ According to the question
(7% of x ) + 6 =
⇒
⇒ 3 =
⇒
750 million tuns wheat grown.

Question 14 of 20
14. Question
Shobha’s Mathematics Test had 75 problem i.e., 10 arithmetic, 30 algebra and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry problems correctly. She did not pass the test because she got less than 60% of the problems right. How many more questions she would have needed to answer correctly to earn a 60% passing grade?
Hint
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% grade
= 60% of 75 = 45.
∴ Required number of questions
= (45 – 40) = 5.

Question 15 of 20
15. Question
Lucknow bound Shatabdi Express has a capacity of 500 seats of which 10% are in the Executive class and the rest chair cars. During one journey, the train was booked to 85% of its capacity. If Executive class was booked to 96% of its capacity, then how many chair car seats were empty during that journey?
Hint
Seats in executive class = 50
Seats for chair car = 450
Booked seats in total = 425
Booked in executive class = 48
Therefore, seats booked in chair class = (425 – 48) = 377
Empty seats for chair class
= 450 – 377 = 73

Question 16 of 20
16. Question
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs 1,000 plus 2.5% commission on all sales exceeding Rs 4,000. If his remuneration as per the new scheme was Rs 600 more than by the first scheme, what were his sales worth?
Hint
Let his sales be worth Rs x. Then,
1000 + 2.5 % of (x – 4000)
= 5% of x + 600
⇒
⇒ 2.5 x + 10000 = 40,000
⇒

Question 17 of 20
17. Question
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?
Hint
Let the number of candidates appeared from each state be x.
Then, 7% of x – 6% of x = 80
⇒ 1% of x = 80
⇒ x = 80 × 100 = 8000.

Question 18 of 20
18. Question
Mr. X, a businessman had the income in the year 2000, such that he earned a profit of 20% on his investment in the business. In the year 2001, his investment was less by Rs 5000 but still had the same income (Income=Investment + Profit) as that in 2000. Thus, the percent profit earned in 2001 increased by 6%. What was his investment in 2000?
Hint
Let his investment in the year 2000 be Rs x.
Then, income in 2000
= Rs [x + 20% of x]
=
Income in 2001
=
Now,
6x = 630000
x = 105000

Question 19 of 20
19. Question
In the month of January, the Railway Police caught 4000 ticketless travellers. In February, the number rise by 5%. However, due to constant vigil by the Police and the Railway staff, the number reduced by 5% and in April it further reduced by 10%. The total number of ticketless travellers caught in the month of April was:
Hint
Number of ticketless travellers in April

Question 20 of 20
20. Question
An empty fuel tank of a car was filled with A type petrol. When the tank was halfempty, it was filled with B type petrol. Again when the tank was halfempty, it was filled with A type petrol. When the tank was halfempty again, it was filled with B type petrol. What is the percentage of A type petrol at present in the tank?
Hint
Let the capacity of the tank be 100 litres. Then,
Initially : A type petrol = 100 litres.
After first operation :
A type petrol litres;
B type petrol = 50 litres.
After second operation :
A type petrol litres;
B type petrol = (50/2) = 25 litres
After third operation :
A type petrol liters;
B type petrol
∴ Required percentage = 37.5%.