Question No. 01
Rajeev buys
good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he
pays sales tax @ 10%. Find the amount he will have to pay for the goods.
(A) Rs.
6876.10
(B) Rs.
6999.20
(C) Rs. 6654
(D) Rs. 7000
Answer:
Option A
Explanation:
Rebate = 6%
of Rs. 6650 = Rs. (6/100) × 6650 = Rs. 399
Sales tax =
10% of Rs. (6650 - 399) = Rs. (10/100) × 6251 = Rs. 625.10
∴ Final
amount = Rs. (6251 + 625.10) = Rs. 6876.10
Question No. 02
In an
election between two candidates, one got 55% of the total valid votes, 20% of
the votes were invalid. If the total number of votes was 7500, the number of
valid votes that the other candidate got, was:
(A) 2700
(B) 2900
(C) 3000
(D) 3100
Answer:
Option A
Explanation:
Number of
valid votes = 80% of 7500 = 6000.
∴ Valid
votes polled by other candidate = 45% of 6000
= {(45/100)
× 6000} = 2700
Question No. 03
A fruit
seller had some apples. He sells 40% apples and still has 420 apples.
Originally, he had:
(A) 588
apples
(B) 600
apples
(C) 672
apples
(D) 700
apples
Answer:
Option D
Explanation:
Suppose
originally he had ‘x’ apples
Then, (100 -
40)% of x = 420
(60/100) × x =
420
=> (420 ×
100)/60 = 700
Question No. 04
If A = x%
of y and B = y% of x, then which of
the following is true?
(A) A is
smaller than B
(B) A is
greater than B
(C) Relationship
between A and B cannot be determined
(D) None of
these
Answer:
Option D
Explanation:
x%
of y = {(x/100) × y} = {(y/100) × x} = y%
of x
∴ A =
B
Question No. 05
A student
multiplied a number by 3/5 instead of 5/3. What is the percentage error in the
calculation?
(A) 34%
(B) 44%
(C) 54%
(D) 64%
Answer:
Option D
Explanation:
Let the
number be x.
Then, error
= (5/3)x - (3/5)x = (16/15)x
Error% =
[(16x/15) × (3/5x) × 100] % = 64%
Question No. 06
What
percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
(A) 1
(B) 14
(C) 20
(D) 21
Answer:
Option C
Explanation:
Clearly, the
numbers which have 1 or 9 in the unit's digit, have squares that end in the
digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49,
51, 59, 61, 69.
Number of
such number =14
∴ Required
percentage = {(14/70) × 100} % = 20%
Question No. 07
Three
candidates contested an election and received 1136, 7636 and 11628 votes
respectively. What percentage of the total votes did the winning candidate get?
(A) 57%
(B) 60%
(C) 65%
(D) 90%
Answer:
Option A
Explanation:
Total number
of votes polled = (1136 + 7636 + 11628) = 20400
∴ Required
percentage = {(11628/20400) × 100} % = 57%
Question No. 08
Ankit 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?
(A) Rs. 15
(B) Rs.
15.70
(C) Rs.
19.70
(D) Rs. 20
Answer:
Option C
Explanation:
Let the
amount taxable purchases be Rs. x
Then, 6%
of x = (30/100)
=>
[(30/100) × (100/6) = 5
∴ Cost
of tax free items = Rs. [25 - (5 + 0.30)] = Rs. 19.70
Question No. 09
Two students
appeared at an examination. One of them secured 9 marks more than the other and
his marks was 56% of the sum of their marks. The marks obtained by them are:
(A) 39, 30
(B) 41, 32
(C) 42, 33
(D) 43, 34
Answer:
Option C
Explanation:
Let their
marks be (x + 9) and x
Then, x +
9 = (56/100) (x + 9 + x)
=> 25(x + 9) = 14(2x +
9)
=> 3x = 99
=> x = 33
So, their
marks are 42 and 33
Question No. 10
If 20%
of a = b, then b% of 20 is the same
as:
(A) 4%
of a
(B) 5%
of a
(C) 20%
of a
(D) None of
these
Answer:
Option A
Explanation:
20% of a = b
=> b = (20/100) a = b
∴ b%
of 20 = {(b/100) × 20} = [{(20/100) a} × {(1/100) × 20}] = {(4/100) a}
= 4% of a
Percentage Aptitude: Next Tests