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Quiz Description :
Name : Percentage aptitude test
Subject : Aptitude / Maths
Topic : Percentage
Questions: 15 Mcq
Time Allowed : 15 Minutes
Important for : school students of class 8th, 9th, 10th, 11th and 12th, B. Sc. (maths), IITJEE, AIPMT, SSC, UPSC, SBI Clerk, IBPS PO / Clerk, Insurance, LIC, Railways, State PSC, Teaching entrance, Jobs written test of WIPRO, InfoSys, IBM, UHG, Tech Mahindra, TCS, TCL and other center level and state level competitions.
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 Question 1 of 15
1. Question
1 pointsCategory: AptitudeGauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
CorrectExplanations: Let the amount of taxable purchases be Rs. X.
Then, 6% of x = 30/100 <==> x = (30/100 × 100/6) = 5.
Cost of tax free items = Rs. (25 (5+0.30)] = Rs. 19.70.
IncorrectExplanations: Let the amount of taxable purchases be Rs. X.
Then, 6% of x = 30/100 <==> x = (30/100 × 100/6) = 5.
Cost of tax free items = Rs. (25 (5+0.30)] = Rs. 19.70.
UnattemptedExplanations: Let the amount of taxable purchases be Rs. X.
Then, 6% of x = 30/100 <==> x = (30/100 × 100/6) = 5.
Cost of tax free items = Rs. (25 (5+0.30)] = Rs. 19.70.
 Question 2 of 15
2. Question
1 pointsA batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
CorrectExplanations: Numbers of runs made by running = 110(3 × 4 + 8 × 6) = 50.
Required percentage = (50/110 × 100) % = 500/11.
IncorrectExplanations: Numbers of runs made by running = 110(3 × 4 + 8 × 6) = 50.
Required percentage = (50/110 × 100) % = 500/11.
UnattemptedExplanations: Numbers of runs made by running = 110(3 × 4 + 8 × 6) = 50.
Required percentage = (50/110 × 100) % = 500/11.
 Question 3 of 15
3. Question
1 pointsAfter deducting a commission of 5%, a T.V. set costs Rs. 9595. Its market price is:
CorrectExplanations: Let the marked price be x.
Then, x – 5% of x = 9595 <==> 95% of x = 9595 <==> x = (959500/95) = 10100.
IncorrectExplanations: Let the marked price be x.
Then, x – 5% of x = 9595 <==> 95% of x = 9595 <==> x = (959500/95) = 10100.
UnattemptedExplanations: Let the marked price be x.
Then, x – 5% of x = 9595 <==> 95% of x = 9595 <==> x = (959500/95) = 10100.
 Question 4 of 15
4. Question
1 pointsA fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
CorrectExplanations: Suppose originally he had x apples.
Then, (10040) % of x = 420
60/100 × x = 420
x = (42000/60) = 700.
IncorrectExplanations: Suppose originally he had x apples.
Then, (10040) % of x = 420
60/100 × x = 420
x = (42000/60) = 700.
UnattemptedExplanations: Suppose originally he had x apples.
Then, (10040) % of x = 420
60/100 × x = 420
x = (42000/60) = 700.
 Question 5 of 15
5. Question
1 pointsA person who spends 200/3 of his income is able to save Rs. 1200 per month. His monthly expenses (in Rs.) are:
CorrectExplanations: Let the monthly income be Rs. X. Then, (100 – 200/3) % of x = 1200
100/3% of x = 1200
100/3 × 1/100 × X = 1200
1200 × 3 = 3600.Monthly expenses = Rs. (3600 – 1200) = Rs. 2400.
IncorrectExplanations: Let the monthly income be Rs. X. Then, (100 – 200/3) % of x = 1200
100/3% of x = 1200
100/3 × 1/100 × X = 1200
1200 × 3 = 3600.Monthly expenses = Rs. (3600 – 1200) = Rs. 2400.
UnattemptedExplanations: Let the monthly income be Rs. X. Then, (100 – 200/3) % of x = 1200
100/3% of x = 1200
100/3 × 1/100 × X = 1200
1200 × 3 = 3600.Monthly expenses = Rs. (3600 – 1200) = Rs. 2400.
 Question 6 of 15
6. Question
1 pointsIn an examination, 35% of the students passed and 455 failed. How many students appeared for the examination?
CorrectExplanations: Let the number of students appeared be x.
Then, 65% of x = 455
<==> 65x/100 = 455
<==> x = (45500/65) = 700.IncorrectExplanations: Let the number of students appeared be x.
Then, 65% of x = 455
<==> 65x/100 = 455
<==> x = (45500/65) = 700.UnattemptedExplanations: Let the number of students appeared be x.
Then, 65% of x = 455
<==> 65x/100 = 455
<==> x = (45500/65) = 700.  Question 7 of 15
7. Question
1 pointsIn an examination, 35% of the students passed and 455 failed. How many students appeared for the examination?
CorrectExplanations: Let the number of students appeared be x.
Then, 65% of x = 455
<==> 65x/100 = 455
<==> x = (45500/65) = 700.IncorrectExplanations: Let the number of students appeared be x.
Then, 65% of x = 455
<==> 65x/100 = 455
<==> x = (45500/65) = 700.UnattemptedExplanations: Let the number of students appeared be x.
Then, 65% of x = 455
<==> 65x/100 = 455
<==> x = (45500/65) = 700.  Question 8 of 15
8. Question
1 pointsIn a market survey, 20% opted for product A whereas 60% opted for product B. The remaining individuals were not certain. If the difference between those who opted for product B and those who were uncertain was 720, how many individuals were covered in the survey?
CorrectIncorrectUnattempted  Question 9 of 15
9. Question
1 pointsIn an election a candidate who gets 84% of the votes is elected by a majority of 476 votes. What is the total number of votes polled?
CorrectExplanations: Let the total number of votes polled be x.
Then, voters polled by other candidate = (100 – 84) % of x = 16% of x.
84% of x – 16% of x = 476 <==> 68x/100 = 476 <==> x = (47600/68) = 700.
IncorrectExplanations: Let the total number of votes polled be x.
Then, voters polled by other candidate = (100 – 84) % of x = 16% of x.
84% of x – 16% of x = 476 <==> 68x/100 = 476 <==> x = (47600/68) = 700.
UnattemptedExplanations: Let the total number of votes polled be x.
Then, voters polled by other candidate = (100 – 84) % of x = 16% of x.
84% of x – 16% of x = 476 <==> 68x/100 = 476 <==> x = (47600/68) = 700.
 Question 10 of 15
10. Question
1 pointsIn an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total numbers of votes was 7500, the number of valid votes that the other candidate got, was:
CorrectExplanations: Number of valid votes = 80% of 7500 = 6000.
Valid votes polled by other candidate = 45% of 6000 = (45/100 × 6000) = 2700.
IncorrectExplanations: Number of valid votes = 80% of 7500 = 6000.
Valid votes polled by other candidate = 45% of 6000 = (45/100 × 6000) = 2700.
UnattemptedExplanations: Number of valid votes = 80% of 7500 = 6000.
Valid votes polled by other candidate = 45% of 6000 = (45/100 × 6000) = 2700.
 Question 11 of 15
11. Question
1 pointsAt an election involving two candidates, 68 votes were declared invalid. The winning candidate secures 52 % and wins by 98 votes. The total number of votes polled is:
CorrectExplanations: Let the number of valid votes be x.
Then, 52% of x – 48% of x = 98
4% of x = 98
4x/100 = 98
x = 98 × 25 = 2450.Total number of votes polled = (2450 + 68) = 2518.
IncorrectExplanations: Let the number of valid votes be x.
Then, 52% of x – 48% of x = 98
4% of x = 98
4x/100 = 98
x = 98 × 25 = 2450.Total number of votes polled = (2450 + 68) = 2518.
UnattemptedExplanations: Let the number of valid votes be x.
Then, 52% of x – 48% of x = 98
4% of x = 98
4x/100 = 98
x = 98 × 25 = 2450.Total number of votes polled = (2450 + 68) = 2518.
 Question 12 of 15
12. Question
1 points10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voters’ list was:
CorrectExplanations: Let the total number of voters be x. Then, Votes polled = 90% of x.
Valid votes = 90% of (90% of x).
54% of [90% of (90% of x).] – 46% of [90% of (90% of x)] = 1620
(8/100) ×( 90/100) × (90/100) × X = 1620
x = (1620 × 100 × 100 × 100 )/( 8 × 90 × 90) = 25000.
IncorrectExplanations: Let the total number of voters be x. Then, Votes polled = 90% of x.
Valid votes = 90% of (90% of x).
54% of [90% of (90% of x).] – 46% of [90% of (90% of x)] = 1620
(8/100) ×( 90/100) × (90/100) × X = 1620
x = (1620 × 100 × 100 × 100 )/( 8 × 90 × 90) = 25000.
UnattemptedExplanations: Let the total number of voters be x. Then, Votes polled = 90% of x.
Valid votes = 90% of (90% of x).
54% of [90% of (90% of x).] – 46% of [90% of (90% of x)] = 1620
(8/100) ×( 90/100) × (90/100) × X = 1620
x = (1620 × 100 × 100 × 100 )/( 8 × 90 × 90) = 25000.
 Question 13 of 15
13. Question
1 points8% of the people eligible to vote are between 18 and 21 years of age. In an election, 85% of those eligible to vote, who were between 18 and 21, actually voted. In that election, the numbers of persons between 18 and 21, who actually voted, was what percent of those eligible to vote?
CorrectExplanations: Let the number of persons eligible to vote be x. Then,
Number of eligible person between 18 and 21 = 8% of x.
Number of persons between 18 and 21, who voted = 85% OF (8% of x)
= (85/100) × (8/100 × (x) = 68/1000 x.
Required percentage = (68x/1000 × 1/x × 100) % = 6.8%.
IncorrectExplanations: Let the number of persons eligible to vote be x. Then,
Number of eligible person between 18 and 21 = 8% of x.
Number of persons between 18 and 21, who voted = 85% OF (8% of x)
= (85/100) × (8/100 × (x) = 68/1000 x.
Required percentage = (68x/1000 × 1/x × 100) % = 6.8%.
UnattemptedExplanations: Let the number of persons eligible to vote be x. Then,
Number of eligible person between 18 and 21 = 8% of x.
Number of persons between 18 and 21, who voted = 85% OF (8% of x)
= (85/100) × (8/100 × (x) = 68/1000 x.
Required percentage = (68x/1000 × 1/x × 100) % = 6.8%.
 Question 14 of 15
14. Question
1 pointsIn an election, 30% of the voters voted for candidate A whereas 60% of the remaining voted for candidate B. The remaining voters did not vote. If the difference between those who voted for candidate A and those who did not vote was 1200, how many individuals were eligible for casting vote in that election?
CorrectExplanations: Let the number of persons eligible to vote be x.
Then, votes who voted for A = 30% of x.
Votes who voted for B = 60% of (70% of x).
(60/100 × 70/100 × 100)% of x = 42% of x.
Voters who did not vote = [100(30+42)] % of x = 28% of x.
30% of x – 28% of x = 1200 <==> 2% of x = 1200
x = (1200 × 100) / 2 = 60000.
IncorrectExplanations: Let the number of persons eligible to vote be x.
Then, votes who voted for A = 30% of x.
Votes who voted for B = 60% of (70% of x).
(60/100 × 70/100 × 100)% of x = 42% of x.
Voters who did not vote = [100(30+42)] % of x = 28% of x.
30% of x – 28% of x = 1200 <==> 2% of x = 1200
x = (1200 × 100) / 2 = 60000.
UnattemptedExplanations: Let the number of persons eligible to vote be x.
Then, votes who voted for A = 30% of x.
Votes who voted for B = 60% of (70% of x).
(60/100 × 70/100 × 100)% of x = 42% of x.
Voters who did not vote = [100(30+42)] % of x = 28% of x.
30% of x – 28% of x = 1200 <==> 2% of x = 1200
x = (1200 × 100) / 2 = 60000.
 Question 15 of 15
15. Question
1 pointsTwo tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
CorrectExplanations: Let the sum paid to Y per week be Rs. Z. Then, Z + 120% of Z = 550
Z + (120 Z/ 100) =550
Z/5 = 550
Z = (550 × 5) / 11 = 250.
IncorrectExplanations: Let the sum paid to Y per week be Rs. Z. Then, Z + 120% of Z = 550
Z + (120 Z/ 100) =550
Z/5 = 550
Z = (550 × 5) / 11 = 250.
UnattemptedExplanations: Let the sum paid to Y per week be Rs. Z. Then, Z + 120% of Z = 550
Z + (120 Z/ 100) =550
Z/5 = 550
Z = (550 × 5) / 11 = 250.