__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% =
[(16

*x*/15) × (3/5*x*) × 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(2*x*+ 9)
=> 3

*x*= 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:**

**Formula: Percentage Aptitude Formulas**

**Solved Examples: Solved Examples: Set 01**

**Practice Test: Practice Test: 01 Practice Test: 02**

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