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CAT Exam  >  CAT Tests  >  Level-wise Tests for CAT  >  Test Level 2: Percentages - 1 - CAT MCQ

Test Level 2: Percentages - 1 - CAT MCQ


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10 Questions MCQ Test Level-wise Tests for CAT - Test Level 2: Percentages - 1

Test Level 2: Percentages - 1 for CAT 2024 is part of Level-wise Tests for CAT preparation. The Test Level 2: Percentages - 1 questions and answers have been prepared according to the CAT exam syllabus.The Test Level 2: Percentages - 1 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 2: Percentages - 1 below.
Solutions of Test Level 2: Percentages - 1 questions in English are available as part of our Level-wise Tests for CAT for CAT & Test Level 2: Percentages - 1 solutions in Hindi for Level-wise Tests for CAT course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Test Level 2: Percentages - 1 | 10 questions in 20 minutes | Mock test for CAT preparation | Free important questions MCQ to study Level-wise Tests for CAT for CAT Exam | Download free PDF with solutions
Test Level 2: Percentages - 1 - Question 1
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If p, q, r and s are four numbers such that q is 20% more than p, r is 25% less than q, s is 40% more than r, and s is k% higher than p, then what is the value of k?  

Detailed Solution for Test Level 2: Percentages - 1 - Question 1

Let p = 100
q = 100 + 20% of 100 = 120
r = 120 - 25% of 120 = 120 - 30 = 90
s = 90 + 40% of 90 = 90 + 36 = 126
s - p = 126 - 100 = 26
So, s is 26 higher than p.
Required percentage = (26/100) × 100% = 26%

Test Level 2: Percentages - 1 - Question 2
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There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If the present production is 9100 milk chocolates per month, what was the figure one month ago?  

Detailed Solution for Test Level 2: Percentages - 1 - Question 2

Increased amount = 9100
Let N be number of chocolates 1 month ago.
9100 = 1.3N
N = 7000 milk chocolates

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Test Level 2: Percentages - 1 - Question 3
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A and B are two numbers such that, B – A = P (where P ≠ 0) and B = P% more than A. Find B.  

Detailed Solution for Test Level 2: Percentages - 1 - Question 3

B - A = P (given)
B = P + A


AP = 100 P
A = 100

Test Level 2: Percentages - 1 - Question 4
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The rate of inflation is 2000%. If the price of an object is Rs. 3 today, what will be its price after 2 years?  
Detailed Solution for Test Level 2: Percentages - 1 - Question 4

Price of the object after 1 year = 3 + 2000% of 3 = Rs. 63
Price of the object after 2 years = 63 + 2000% of 63 = 21 × 63 = Rs. 1323

Test Level 2: Percentages - 1 - Question 5
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A student who gets 20% marks in an exam fails by 10 marks, but another student who gets 58% marks in the exam gets 28 marks more than the passing marks. Find the maximum marks.  
Detailed Solution for Test Level 2: Percentages - 1 - Question 5

Let the maximum marks be x.
According to the given condition,
0.58x - 0.2x = 38
0.38x = 38
x = 100

Test Level 2: Percentages - 1 - Question 6
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Due to inflation, the price of an item is increased by 25%, but at the end of the year, it decreased by 20% and became the same. What was the original price?  
Detailed Solution for Test Level 2: Percentages - 1 - Question 6

Let x be the price of the item.
After increasing 25%, it becomes 1.25x.
After decreasing 20%, it becomes x. (1.25x × 0.8 = x)
So, for every value of x, it is true.

Test Level 2: Percentages - 1 - Question 7
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In a fraction X, if thrice the denominator is decreased by 30% and twice the numerator is increased by 10%, then the resultant fraction is 22% of 26/21. Find the fraction X.
Detailed Solution for Test Level 2: Percentages - 1 - Question 7

Let the fraction X be x/y.

Hence, option (2) is the correct answer.

Test Level 2: Percentages - 1 - Question 8
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Mr. Raj was throwing a party to his friends and he required 37 kg of sweets for that. Assuming 19% wastage and knowing that the sweets were available in 2 kg packets only, what would be the approximate cost of the sweets purchased if one packet cost Rs. 150?  
Detailed Solution for Test Level 2: Percentages - 1 - Question 8

He had to buy X kg such that 81% of X = 37 kg.

⇒ He had to buy 46 kg (multiple of 2 kg), i.e. 23 packets of sweets.
⇒ Total cost = Rs. 150 × 23 = Rs. 3450

Test Level 2: Percentages - 1 - Question 9
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A man sells an article at a gain of 10%. If he had bought it at 10% less and sold it for Rs. 132 less, he would have still gained 10%. The cost price of the article is  
Detailed Solution for Test Level 2: Percentages - 1 - Question 9

SP = 1.1 CP
New cost price = 0.9 CP
New selling price = SP - 132
According to the given condition,

0.2 CP - 132 = 0.09 CP
0.11 CP = 132
CP = Rs. 1200

Test Level 2: Percentages - 1 - Question 10
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In an examination, A gets 40% of the total marks and B gets 80% of that of A. C gets 60% of A's and B's marks taken together. D gets 45% of A's and C's marks taken together. If the required passing marks are 36%, how many of these four students passed the examination?  
Detailed Solution for Test Level 2: Percentages - 1 - Question 10

Let the maximum marks be 100.
Marks of A = 40% of 100 = 40
Marks of B = 80% of 40 = 32
Marks of C = 60% of (40 + 32) = 43.2
Marks of D = 45% of (40 + 43.2) = 37.44
Marks required for passing the examination = 36 out of 100
All, except B, passed the examination.

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