GATE General Aptitude - Percentage
Exam Duration: 45 Mins Total Questions : 25
p is 5 times as large as q, the percent that q is less than p is
- (a)
70%
- (b)
75%
- (c)
80%
- (d)
85%
A's income is 10% more than B's income. B's income is less than A's income by
- (a)
\(7\frac { 1 }{ 2 } \)%
- (b)
\(8\frac { 1 }{ 3 } \)%
- (c)
10%
- (d)
\(9\frac { 1 }{ 11 } \)%
Two numbers are less than a third number by 25% and 30% respectively. How much percent is the second number less than first?
- (a)
\(6\frac { 1 }{ 3 } \)%
- (b)
\(6\frac { 1 }{ 4 } \)%
- (c)
\(6\frac { 2 }{ 3 } \)%
- (d)
\(6\frac { 3 }{ 4 } \)%
3 L of water is added to 15 L of an alcohol-water solution containing 40% alcohol strength. The strength of alcohol in new solution will be
- (a)
30%
- (b)
\(33\frac { 1 }{ 3 } \)%
- (c)
\(33\frac { 2 }{ 3 } \)%
- (d)
33%
In a printing press 26% of the output of Machine A is equal to 45% of the output of Machine B. If the Machine B prints 650 page daily, then Machine A prints how many pages daily?
- (a)
1125
- (b)
1200
- (c)
850
- (d)
925
A goldsmith can prepare gold ornaments using a certain amount of gold daily. The price per gram of gold increases by 15%. By what percentage should the goldsmith decreases his preparation of ornaments in order to keep his daily expenditure the same?
- (a)
\(33\frac { 1 }{ 23 } \)%
- (b)
\(12\frac { 1 }{ 5 } \)%
- (c)
\(11\frac { 1 }{ 5 } \)%
- (d)
\(12\frac { 1 }{ 23 } \)%
Sudhir has to travel from town A to town B which is certain distance apart. 30% of the distance was travelled by car, 40% of the remaining by bus, 50% of the remaining by train and he still has 210 km to reach town B. What is the total distance between town A and town B?
- (a)
1200 km
- (b)
1100 km
- (c)
1000 km
- (d)
1050 km
The entry fee for musical concert was Rs 1 later it was reduced by 20% which increased the net collection of amount by 40%. The increase in the number of visitors is
- (a)
\(72\frac { 1 }{ 3 } \)%
- (b)
\(74\frac { 1 }{ 3 } \)%
- (c)
75%
- (d)
\(76\frac { 1 }{ 3 } \)%
The price of a book is first increased by 20% then decreased by 10%. If the price of the book is now Rs 216. What was the original price of the book?
- (a)
250
- (b)
200
- (c)
150
- (d)
300
Manohar gets a salary of x, he divides his salary into two parts such that the first part is K % of the other. What is the value of the second part?
- (a)
100k/100-k
- (b)
100+k/100x
- (c)
100x/100+k
- (d)
100-k/100x
In an election between two candidates one got 65% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 6500, the number of valid votes that the other candidate got, was
- (a)
1820
- (b)
1840
- (c)
1824
- (d)
1844
15% of the people eligible to vote are between 18 and 25 yr of age. In an election, 75% of those eligible to vote. who are between 18 and 25, actually voted. In the election, the number of persons between 18 and 25, who actually voted was what percent of those eligible to vote?
- (a)
12.50%
- (b)
10.75%
- (c)
11.25%
- (d)
10.25%
While purchasing one item costing Rs 800, I had pay the sales tax at \(6\frac { 1 }{ 4 } \)% and on another costing Rs 4200, the sales tax was \(8\frac { 1 }{ 3 } \)%. What percent of the sales tax. I had to pay, taking the two items together on an average?
- (a)
9%
- (b)
8%
- (c)
\(8\frac { 1 }{ 2 } \)%
- (d)
\(9\frac { 1 }{ 2 } \)%
In an examination of a certain number of questions, a student replied 24 out of 25 questions correctly. Of the remaining questions, he answered two-fifth correctly. All the questions have the same credit. If the student gets percentage marks, what are the total number of questions in the exmination?
- (a)
49
- (b)
45
- (c)
40
- (d)
42
From a container having pure milk, 10% is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is
- (a)
74.2% pure
- (b)
70% pure
- (c)
72.9% pure
- (d)
75% pure
The price of oil is reduced by 5%. How many litres of oil can now be bought for the money which was sufficient to buy 38 L of oil earlier?
- (a)
42.5L
- (b)
42 L
- (c)
40 L
- (d)
40.5 L
A person spends 40% of his salary on his educational expenses. He spends 60% of it in purchasing books and one-half of the remaining in purchasing stationary items. If he saves Rs 160 every month, which is one-fourth of the balance after spending over books and stationary items, what is his monthly salary?
- (a)
8000
- (b)
4800
- (c)
9600
- (d)
Data inadequate
In measuring the sides of a rectangular plot, one side is taken 5% in excess and the other 6% in deficit. The error percent in area calculated, of the plot, is
- (a)
1%
- (b)
1.3%
- (c)
1.5%
- (d)
3%
The total tractor production in a state is 294000 out of which 150000 are made by Mahindra and Mahindra. Out of every 1000 Mahindra tractors, 98 are red in colour, but only 5.3% of the total tractor production is red. Find the percentage of non-Mahindra tractors that are red out of total non-Mahindra tractors.
- (a)
0.5025%
- (b)
0.5130%
- (c)
0.6125%
- (d)
0.6140%
33% Mark is required to pass an examination. A candidate who gets 210 marks fail by 21 marks. The total mark in the examination are
- (a)
500
- (b)
600
- (c)
700
- (d)
800
If 20% of a = 25% of b = 30% of c = 10% of d = k>1 then the largest of 2a, 3b, 6c and d is
- (a)
2a
- (b)
3b
- (c)
6c
- (d)
d
A series of discount of 20%, 10% and 10% is equivalent to a single discount of (approximately)
- (a)
40%
- (b)
35%
- (c)
30%
- (d)
45%
A 20% increase in the train fare resulting in a 5% decrease in passenger traffic, but the daily collection at the station increased by Rs 9000. Find the daily collection at the station before the increase in the fair.
- (a)
95000/3
- (b)
75000
- (c)
500000/14
- (d)
450000/7
If p is a% more than Q and Q is b% less than p, then
- (a)
(1/a)-(1/b) = 100
- (b)
1/a-1/b = 1/100
- (c)
1/a+1/b = 100
- (d)
1/b-1/a = 1/100
In a class, 40% of the student are boys. Seventy percent of the boys score more than 80% marks in a test. If 45% of the class scored more than 80% in the test, what fraction of the girls in the class score less than or equal to 80%?
- (a)
1/3
- (b)
2/3
- (c)
7/10
- (d)
5/6
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