Percentage Formulas, Shortcuts, Tips and Tricks
Percentage Questions from Previous Year Exam
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Question 1 of 40
1. Question
1 pointsIn an election between two candidates, 75% of the voters cast their votes, out which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the valid votes. Find the total number of votes enrolled in that election.
Correct
Let the total number of votes enrolled be x. then,
Number of votes cast = 75% of x valid votes = 98% of (75% of x).
So, 75% of [98% of (75% of x)] = 9261.
= 9261
x = 16800
Incorrect
Let the total number of votes enrolled be x. then,
Number of votes cast = 75% of x valid votes = 98% of (75% of x).
So, 75% of [98% of (75% of x)] = 9261.
= 9261
x = 16800

Question 2 of 40
2. Question
1 pointsShobha's Mathematics test had 75 problems 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 nit pass the test because she got less than 60% of the problems right . How many more question she would have needed to answer correctly to earn a 60% passing grade?
Correct
Number of questions attempted correctly Â = (70% of 10 + 40% of 30 +Â 60% of 35 )
â‡’Â (7 + 12 + 21) =Â 40.
Questions to be answered correctly for 60% grade = 60% of 75 = 45 .
So,Required number of questions = (45â€“Â 40)Â = 5.
Incorrect
Number of questions attempted correctly Â = (70% of 10 + 40% of 30 +Â 60% of 35 )
â‡’Â (7 + 12 + 21) =Â 40.
Questions to be answered correctly for 60% grade = 60% of 75 = 45 .
So,Required number of questions = (45â€“Â 40)Â = 5.

Question 3 of 40
3. Question
1 pointsDifference of two numbers is 1660. if Â 7.5% of one number is 12.5% of the other number, Find the two numbers.
Correct
Let the number be x and y. then, 7.5% of x = 12.5% of y
x Â = =
Now, x â€“Â y Â = 1660
= 160
y = = 2490
So, One number = 2490 and Second number = = 4150
Incorrect
Let the number be x and y. then, 7.5% of x = 12.5% of y
x Â = =
Now, x â€“Â y Â = 1660
= 160
y = = 2490
So, One number = 2490 and Second number = = 4150

Question 4 of 40
4. Question
1 pointsIn expressing a length 81.472 km as nearly as possible with three significant digits, find the percentage error.Â
Correct
Error = (81.5  81.472) km = 0.028
= 0.034 %
Incorrect
Error = (81.5  81.472) km = 0.028
= 0.034 %

Question 5 of 40
5. Question
1 pointsMr. Ram gave 40%Â of the money he had, to his wife. he also gave 20% of the remainingÂ amount to each of his three sons, Half of the amount now left was spent on miscellaneous item and the remaining amount of Rs. 12,000 was deposited in the bank. How much money did Mr. Ram have initially ?
Correct
Let the initial amount with Mr. Ram be Rs. x.
= 12000
xÂ = = 100000
Incorrect
Let the initial amount with Mr. Ram be Rs. x.
= 12000
xÂ = = 100000

Question 6 of 40
6. Question
1 pointsWhen the price of a product was decreased by 10%, the number sold increasedÂ by 30%. What was the effect on the total revenue ?
Correct
Let the price of the product be Rs. 100 and let original sale be 100 pieces.
Then, total revenue= Rs. (100 Ã— 100) = 10000.
New, revenue = Rs. (90 Ã— 130) = Rs. 11700.
So, Increase in revenue Â = 17%
Incorrect
Let the price of the product be Rs. 100 and let original sale be 100 pieces.
Then, total revenue= Rs. (100 Ã— 100) = 10000.
New, revenue = Rs. (90 Ã— 130) = Rs. 11700.
So, Increase in revenue Â = 17%

Question 7 of 40
7. Question
1 pointsThe population of a town is 1,76,400. If it increase at the rate of 5% per annum, what will be its population 2 years hence ? what was it 2 years ago?
Correct
Population after 2 years =Â 176400 = 194481
Population 2 years ago = Â Â =160000
Incorrect
Population after 2 years =Â 176400 = 194481
Population 2 years ago = Â Â =160000

Question 8 of 40
8. Question
1 pointsIn the new budget, the price of Refined oil rose by 25%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase?
Correct
Reduction in consumption = = 20%
Incorrect
Reduction in consumption = = 20%

Question 9 of 40
9. Question
1 pointsDeepika's salary Â was decreased by 50% and subsequently increased by 50%. How much percent does she lose?
Correct
LetÂ the original salary =Â 100.
New final salary = 150% of (50% of Rs. 100)
=rs75
So, DecreaseÂ =(100 â€“75)% = 25%.
Incorrect
LetÂ the original salary =Â 100.
New final salary = 150% of (50% of Rs. 100)
=rs75
So, DecreaseÂ =(100 â€“75)% = 25%.

Question 10 of 40
10. Question
1 pointsThe monthly income of a person was reduced by 10%. ByÂ what percent should his reduced monthly income be raised so as to bring it at par with his original income?
Correct
Let the original monthly income be Rs. 100, New income = Rs. 90.
Increase on 90 (new income) = 10.Then,
Increase on 100 =
Incorrect
Let the original monthly income be Rs. 100, New income = Rs. 90.
Increase on 90 (new income) = 10.Then,
Increase on 100 =

Question 11 of 40
11. Question
1 pointsFourtyfive percent of a number is 30 less than threefifth of that number . What is the number?
Correct
Let the number be x.
(45% of x) = 30
â‡’Â 15 xÂ = 3000Â Â â‡’Â Â xÂ = 200.
Incorrect
Let the number be x.
(45% of x) = 30
â‡’Â 15 xÂ = 3000Â Â â‡’Â Â xÂ = 200.

Question 12 of 40
12. Question
1 pointsAn Auditor rejects 0.25% of the meters as defective. How many will be examine to reject 5?
Correct
Let the number of meters to be examine be x.
Then, 0.25% of x = 5,
=5
x = 2000
Incorrect
Let the number of meters to be examine be x.
Then, 0.25% of x = 5,
=5
x = 2000

Question 13 of 40
13. Question
1 pointsIf Aman's salary is 20% less than Vishal's salary, by how much percent is Vishal's salary more than Aman's ?
Correct
Required percentage =Â = 25%
Incorrect
Required percentage =Â = 25%

Question 14 of 40
14. Question
1 pointsNupur invest Rs. 89856, which is 26% of her annual income,Â in mutual funds. What is her monthly income?
Correct
Let Nupur's monthly income be Rs x.
26% bof 12x= 89856
Incorrect
Let Nupur's monthly income be Rs x.
26% bof 12x= 89856

Question 15 of 40
15. Question
1 pointsA number rs 68% of the other number. If the sum of theseÂ two numbers is 84% of 500, what is the bigger number?
Correct
Let the bigger number be x.
Â Â x + 68% of x= 84% of 500
Incorrect
Let the bigger number be x.
Â Â x + 68% of x= 84% of 500

Question 16 of 40
16. Question
1 pointsOut of 820 employees in an organisation, 20% of theÂ employees got promoted to a higher grade. How manyÂ employees did not get promoted?
Correct
The employees who did not get promoted
=
= = 656
Incorrect
The employees who did not get promoted
=
= = 656

Question 17 of 40
17. Question
1 pointsThe salary of a man increases by 20% every year in theÂ month of January. His salary was Rs. 5000 in the month of February in year 2009. What will be his salary in theÂ month of February in the year 2011?
Correct
Incorrect
TheÂ salary of a man , =Rs

Question 18 of 40
18. Question
1 pointsIf the numerator of a fraction is increased by 20% andÂ the denominator is not changed, the resultant fractionÂ thus obtained is Â . What was the original fraction?
Correct
Let theÂ originalÂ fraction be
Incorrect
Let theÂ originalÂ fraction be

Question 19 of 40
19. Question
1 pointsSamar spends 52% of his monthly salary on householdÂ expenditure and 23% on miscellaneous expenditure. IfÂ he is left with Rs. 4500, what is his monthly salary?
Correct
Let Samar's monthly salary be Rs x.
%Â ofÂ x = 4500
of x = 4500
Â x = 4500
Â x = 18000
Incorrect
Let Samar's monthly salary be Rs x.
%Â ofÂ x = 4500
of x = 4500
Â x = 4500
Â x = 18000

Question 20 of 40
20. Question
1 pointsTwenty five percent of Reena's yearly income is equal toÂ seventy five per cent of Anubhav's monthly income. IfÂ Anubhav's yearly income is Rs.240000, what is Reena's monthly income?
Correct
25% of Reena yearly income = 75% Â of Anubhav'Â monthly income
Anubhav'sÂ monthlyÂ Â income
Reena'sÂ yearlyÂ incomeÂ =
Reena'sÂ monthlyÂ income = = 5000
Incorrect
25% of Reena yearly income = 75% Â of Anubhav'Â monthly income
Anubhav'sÂ monthlyÂ Â income
Reena'sÂ yearlyÂ incomeÂ =
Reena'sÂ monthlyÂ income = = 5000

Question 21 of 40
21. Question
1 pointsIn a test, Rajesh got 112 marks which is 32 more thanÂ the passing marks. Sonal got 75% marks which is 70Â more than the passing marks. What is the minimumÂ passing percentage of the test?
Correct
Passing marks = 112  32 = 80
75% of total marks= 70+ 80
Total marks = = 200
Passing percentage= = 40 %
Incorrect
Passing marks = 112  32 = 80
75% of total marks= 70+ 80
Total marks = = 200
Passing percentage= = 40 %

Question 22 of 40
22. Question
1 pointsA factory has produced 6750 pieces of toys out of which 12%Â were found to be defective. Out of the remaining, if 15%Â were not sold, how many toys were sold?
Correct
None defective toys =
= 5940
The number of sold toys =
= 5049
Incorrect
None defective toys =
= 5940
The number of sold toys =
= 5049

Question 23 of 40
23. Question
1 points46% of 156  23.76 = ?
Correct
Incorrect
46% of 156  23.76 = ?
= 71.76  23.76 =Â 48

Question 24 of 40
24. Question
1 points25% of 420  ? % of 140 = 77
Correct
Incorrect
25% of 420  ? % of 140 = 77

Question 25 of 40
25. Question
1 points36% of 250 18% Â of 50 = ? + 10
Correct
Incorrect
36% of 250 18%Â of 50 = ? + 10
= 810  10 = 800

Question 26 of 40
26. Question
1 pointsof 20%Â of 540 = ?
Correct
Incorrect
%Â of

Question 27 of 40
27. Question
1 points40% of 70% of a number is 336. What is onethird of thatÂ number?
Correct
Incorrect
40% of 70% of a number = 336.

Question 28 of 40
28. Question
1 pointsNumber of girls in a class ts 44 which ts 55% of the totalÂ number of students. How many boys are there in theÂ class?
Correct
Incorrect
55 % of total student= 44
Â 45% of total student =
Number of boys= 36

Question 29 of 40
29. Question
1 pointsA newspaper vendor sells a newspaper at the rate of Rs. 5Â per copy and earns a commission of 15%. If he sells 1200Â copies of newspaper a day, how much commission will heÂ earn in a week?
Correct
Incorrect
Income on one copy =15% of 5
=

Question 30 of 40
30. Question
1 points27 % Â of Arun's monthly salary isÂ equal to Raju's monthly salary. If Arun's monthlyÂ salary is Rs. 25000, then what is Raju's annual salary?
Correct
Incorrect
Raju's monthly salary  27% of Rs 25000

Question 31 of 40
31. Question
1 pointsJyoti's monthly expense on shopping is 25%, travellingÂ is 20%, food is 45% and 10% on other recreationalÂ activities. What is the total amount she spent onÂ travelling and food together?
Correct
Incorrect
The amount cannot be determined because her incomeÂ is not given.

Question 32 of 40
32. Question
1 pointsWhat is the value of 72% of, two fifth of 450?
Correct
Incorrect
72% of of 450

Question 33 of 40
33. Question
1 pointsThe population of a town is 25280. It increases by 10% inÂ the first year and decreases by 25% in the second year.Â What is the population of the town at the end of twoÂ years?
Correct
Incorrect
The population at the end of two years

Question 34 of 40
34. Question
1 pointsRajesh gave 40% of his amount to Nisha and Nisha gaveÂ 45% of that amount to Kapil. If Kapil got Rs. 1440 fromÂ Nisha, what was the original amount with Rajesh?
Correct
Incorrect
Let the original amount with Rajesh be Rs x
1440=45% of 405 of x

Question 35 of 40
35. Question
1 pointsIn a class of 60 students, 40 % can speak only Hindi, 25% can speak only English and rest of the students canÂ speak both the languages. Total how many students canÂ speak English?
Correct
Incorrect
The percentage of students who can speak English
=[25+ (100 40  25) ]%
= 60%
.'. The number of students = 60% of 60

Question 36 of 40
36. Question
1 pointsThe difference between 63% of a number and 4545 of theÂ same number is 342. What is 78% of that number?
Correct
Incorrect
(63  45)% of the number = 342
=18% of the number = 342
78% of the number =

Question 37 of 40
37. Question
1 pointsIn an examination, it is required to get 40% of theÂ aggregate marks to pass. A student gets 261 marks andÂ is declared failed by 4% marks. What are the maximumÂ aggregate marks a student can get?
Correct
Incorrect
36% of total marks = 261

Question 38 of 40
38. Question
1 pointsTwo candidates contested an election. If one got 520Â votes which was 65% of votes, what was the totalÂ number who votes?
Correct
Incorrect
65% of total votes Â =520

Question 39 of 40
39. Question
1 pointsThe difference betwee n 89% of a number and 73% of theÂ same number is 448. What ts 49% of that number?
Correct
Incorrect
(89  73)%o of the number =448
16% of the number = 448
49% of the total number=

Question 40 of 40
40. Question
1 points45% of a number is 255.6. What is 25% of that number?
Correct
Incorrect
45% of a number 255.6
25% of a number=
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