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Test Level 1: Percentages - 2 - CAT MCQ


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

Test Level 1: Percentages - 2 for CAT 2024 is part of Level-wise Tests for CAT preparation. The Test Level 1: Percentages - 2 questions and answers have been prepared according to the CAT exam syllabus.The Test Level 1: Percentages - 2 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 1: Percentages - 2 below.
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Test Level 1: Percentages - 2 - Question 1

Ramakant spends 50% of his income on clothes and 40% on food. The amount spent on food is Rs. 38,400. What is the total discounted amount on clothes if he gets 40% discount on market price?  

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

Ramakant spends 40% of the total income (let's say 'x') on food.
40% of x = Rs. 38,400

x = Rs. 96,000
He spends 50% on clothes.
Amount spent on clothes = 96,000/2 = Rs. 48,000
48,000 is the 60% of the marked price of clothes.
So, market price of clothes 

That is, Ramakant gets a discount of Rs. (40% of 80,000) on clothes.
Total discounted money = Rs. 32,000

Test Level 1: Percentages - 2 - Question 2

In an examination, A attempted 80% of questions with 50% accuracy and B attempted 60% of questions with 80% accuracy. A wrong answer attracts negative marking of 25%. There are no negative marks for unattempted questions.

What is the difference between marks obtained by A and B?  

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

Since we don`t know the maximum marks, we cannot find the answer.

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Test Level 1: Percentages - 2 - Question 3

The ratio of males to females in a village is 3 : 2. 20% of the males and 25% of the females are graduates. What percentage of the total population of the village is not graduate?

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

Let's say that the male population is 300.
Let's say that the female population is 200.
Graduate male population

Graduate female population 

Non-graduate population = 500 - 110 = 390
Percentage of non-graduate population 

Test Level 1: Percentages - 2 - Question 4

The value of a machine depreciates at a rate of 16% per annum. If the price of a new machine is Rs. 62,500, then its value after 3 years will be  

Detailed Solution for Test Level 1: Percentages - 2 - Question 4

Value of machine after 3 years 

Test Level 1: Percentages - 2 - Question 5

The salary of a person is Rs. 15,000. But in the next month, he gets a bonus of Rs. 1000. He decides to save the bonus and in the process saves 10% more than the amount he saved the previous month. If there is no change in his expenses from the previous month, what are his monthly expenses?  

Detailed Solution for Test Level 1: Percentages - 2 - Question 5

The bonus amount of Rs. 1000 increases his savings by 10%.
Since 1000 is 10% of 10,000, the previous month's savings were Rs. 10,000.
Now, as his previous month savings were Rs. 10,000,
Expenses = 15,000 – 10,000 = Rs. 5000

Test Level 1: Percentages - 2 - Question 6

If a student scores 30% marks in a paper, he fails by 6 marks; but if he scores 40% marks, he passes by 2 marks.

What are the passing marks?  

Detailed Solution for Test Level 1: Percentages - 2 - Question 6

The given information is shown on two different scales as given below:

Difference of percentages of total marks = (6 + 2)
10% (40 - 30) of maximum marks = 8
Maximum marks = 80
Passing marks = 30% of 80 + 6 or 40% of 80 - 2 = 30

Test Level 1: Percentages - 2 - Question 7

In every box of 120 bulbs, 5% are defective. If a company needs 2,000 non-defective bulbs, what is the minimum number of boxes that it has to purchase?  

Detailed Solution for Test Level 1: Percentages - 2 - Question 7

Each box contains 114 non-defective bulbs.
∴ 2000/114 = 17.54
So, the company has to purchase a minimum of 18 boxes to meet its requirement of bulbs.

Test Level 1: Percentages - 2 - Question 8

Mr. Miranda saves 40% of his salary every month. But in April, his expenses increase by 10% of his original expenses and he saves $120 less than the amount he saves normally. What is his salary?  

Detailed Solution for Test Level 1: Percentages - 2 - Question 8

Let 'x' be the salary and 0.6x be the expenses.
In April, the expenses increase by 10% and become 0.66x.
So, the savings decrease by 0.06x, and it is equal to 120.
Therefore, 0.06x = 120
⇒ x = $2000

Test Level 1: Percentages - 2 - Question 9

Instead of finding 28% of a number, Saloni incorrectly found 82% of the number. She got an answer, which is 540 more than the actual answer. What is the actual answer?  

Detailed Solution for Test Level 1: Percentages - 2 - Question 9

Let the number be k.
Original answer should be 0.28k.
Her answer is 0.82k.
Difference = 0.54k
It is given as 540.
k = 1000
Actual answer = 0.28k = 280

Test Level 1: Percentages - 2 - Question 10

A man loses 12.5% of his money, and after spending 70% of the remainder, he is left with Rs. 210. He initially had

Detailed Solution for Test Level 1: Percentages - 2 - Question 10

Let the total money be Rs. x.
Money lost 


Thus, total money = Rs. 800

Test Level 1: Percentages - 2 - Question 11

A reduction of 20% in the price of candies enables a child to buy 5 candies more for $10. What is the reduced price per candy now and what was the price earlier?  

Detailed Solution for Test Level 1: Percentages - 2 - Question 11

Let the original price of a candy be p dollars.
Let the number of candies originally be bought be n.
np = 10 ... (i)
New price of a candy = 0.80p
0.80p(n + 5) = 10
Or 0.80pn + 4p = 10 ... (ii)
Putting the value of pn from (i) into (ii), we get 8 + 4p = 10
Or p = 0.5
0.80p = 0.80 × 0.50 = 0.40
Thus, the original price was 50 cents, and the new price is 40 cents.
Thus, answer option 2 is correct.

Test Level 1: Percentages - 2 - Question 12

If we express  as a fraction, then it is equal to

Detailed Solution for Test Level 1: Percentages - 2 - Question 12

Test Level 1: Percentages - 2 - Question 13

Which of the following is the largest number?

Detailed Solution for Test Level 1: Percentages - 2 - Question 13

It can be clearly seen that 40% of 400 = 160 is the highest number.

Test Level 1: Percentages - 2 - Question 14

If 25% of x = 30% of y, then find the value of x if y = 5000.

Detailed Solution for Test Level 1: Percentages - 2 - Question 14

25% of x = 30% of 5000 or 0.25x = 1500 = 6000

Test Level 1: Percentages - 2 - Question 15

20% of a number when subtracted from 108, gives the number itself. Find the number.

Detailed Solution for Test Level 1: Percentages - 2 - Question 15

Check the options. If you check with Option d = 90, you get → 108 – 20% of 90 = 108 – 18 = 90. This matches the given requirement and hence Option (d) is the correct answer.

Test Level 1: Percentages - 2 - Question 16

Mr. Ram is worried about the balance of his monthly budget. The price of petrol has increased by 50%. By what percent should he reduce the consumption of petrol so that he is able to balance his budget?

Detailed Solution for Test Level 1: Percentages - 2 - Question 16

The following PCG will give the answer:

Hence, the percentage reduction required is 33.33% (50/150).

Test Level 1: Percentages - 2 - Question 17

Ashok sells his goods 50% dearer than Shankar and 20% dearer than Bishnu. How much percentage is Bishnu’s goods dearer than Shankar’s?

Detailed Solution for Test Level 1: Percentages - 2 - Question 17

Test Level 1: Percentages - 2 - Question 18

In a physical measurement, by mistake Shyam gave his height as 25% more than normal. In the interview panel, he clarified that his height was 5 feet 5 inches. Find the percentage correction made by the candidate from his stated height to his actual height.

Detailed Solution for Test Level 1: Percentages - 2 - Question 18

If Shyam has inadvertently increased his height by 25% the correction he would need to make to go back to his original height would be to reduce the stated height by 20%.

Test Level 1: Percentages - 2 - Question 19

A number is mistakenly divided by 2 instead of being multiplied by 2. Find the percentage change in the result due to this mistake.

Detailed Solution for Test Level 1: Percentages - 2 - Question 19

Let the number be 100. Then, 200 should be the correct outcome. But instead the value got is 50. Change in value = 200 – 50 = 150. The percentage change in the value = 150 ¥ 100/200 = 75%. Alternately, you could think of this as the number being ‘x’ and the required result being 2x and the derived result being 0.5x. Hence, the percentage change in the result is 1.5x ¥ 100/2x. Clearly, the value would be 75%. (Note: In this case, the percentage change in the answer does not depend on the value of ‘x’).

Test Level 1: Percentages - 2 - Question 20

In a mixture of 100 litres of milk and water, 25% of the mixture is milk. How much water should be added to the mixture so that milk becomes 20% of the mixture?

Detailed Solution for Test Level 1: Percentages - 2 - Question 20

From the first statement we get that out of 100 litres of the mixture, 25 litres must be milk. Since, we are adding water to this and keeping the milk constant, it is quite evident that 25 litres of milk should correspond to 20% of the total mixture. Thus, the amount in the total mixture must be 125, which means we need to add 25 litres of water to make 100 litres of the mixture.

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