Percentages Questions for CAT with Answers PDF

Suppose, the woman buys 60 mangoes of the first kind and 60 mangoes of the second kind [LCM of  12 mangoes and and 20 mangoes].
CP of 60 mangoes = Rs. 125
And CP of another 60 mangoes = Rs. 90
CP of 120 mangoes = Rs. 215
SP of 120 mangoes = 120  1.8 = Rs. 216
Gain = Re 1
For the gain of Re 1, number of mangoes purchased = 120
For the gain of Rs. 25, number of mangoes purchased = 3000

Let us suppose that he purchased x bananas for Re. 1. So, the price of each banana was Rs.1/x.
Now, he can purchase 50 more bananas. So, the total number of bananas is x + 50.
The price of each banana is Rs.  , which is 40% less than the original price.

⇒ x = 75
Original price per dozen 

Reduced price per dozen

Hence, option (4) is correct.

Total number of ticket-less travellers:
In February = 4000 + 5% of 4000 = 4200
In March = 4200 - 5% of 4200 = 3990
In April = 3990 - 10% of 3990 = 3591

Old savings = Rs. (1350 - 900) = Rs. 450


New savings = Rs. (1539 - 837) = Rs. 702
%age of increased savings 

Assume the quantity as 100.
If it is increased by 30%, it will become 130 and if it is decreased by 50%, it will become 65.
So, it has to be increased by 35 to bring it to 100 again.

If the original CP was Rs. x per kg, the CP during the floods would be Rs. (x + 2.50).

Given that the rate of profit in the later case is 20%, i.e. 

Cost price per kg before the floods was Rs. 15.

Let the total sales amount be Rs. x.
Then, the commission which the salesman got is given as
5% of 10,000 + 4% of (x - 10,000) = x - 31,100
500 + 0.04x - 400 = x - 31,100
0.96x = 31,200
x = Rs. 32,500

Let us say there are 100 employees in the company.
Number of male employees = 60
Number of female employees = 40
Total number of employees who are getting bonus 

If 18 employees are getting a bonus, then total number of employees = 100
If 81 employees are getting a bonus, then total number of employees 

So, total number of employees who are not getting a bonus = 450 - 81 = 369

Let the pocket money of Priya and Vikas be P and V, respectively.
Now,

Let the number of books on shelf B be 100.
Number of books on shelf A:
(4 ÷ 5) × 100 = 80
On transferring 25% of books from shelf A to shelf B, the number of books on shelf B = 100 + (80 × 25) ÷ 100
100 + 20 = 120
Books on shelf B = 120
Books left on shelf A = 80 - 20 = 60
Again, on transferring 1/4th of the books from shelf B to shelf A, the number of books on the shelf A = 60 + (120 ÷ 4) = 90
Books left on shelf B = 120 - 30 = 90

By condition given:

Difference between number of female tourists = 2y - 0.333x

= 27 - 0.6216 y

Let the consumption of tea  be T grams and the consumption of coffee be C grams.
According to given condition: 
T = 5C     ... (1)
Also, 

Solving (1) and (2), we get 
5a + b = 42c    ... (4)
Solving (1) and (3), we get 
a + 5b = 18c     ... (5)
Solving  (4) and (5), we get 
a = 8c 
b = 2c
So, a = 4b

Goods worth Rs. 100 from Gurpreet would cost Rs. 1100/9 from Nidhi.

Let the number of packed items be 100.
On the first day it sells 60% packed items, i.e. 60 packed items.
Number of remaining packed items = 40
It throws 15% of the remaining, i.e. 15% of 40 = 6.
Now it has 40 - 6 = 34 packed items.
The next day it throws 50% of the remaining 34 packed items, i.e. 17.
Therefore, in all, it throws 6 + 17 = 23 packed items.
Required percentage = 23/100 = 23%

If x increases by 10%, it becomes 1.1x.
∴ k¹ = 1.21x² - 2.2x
So, %age change in  which cannot be determined.

Total number of students = 150
40% of them are girls.
So, number of girls = 40% of 150 = 60
Number of boys = 150 - 60 = 90
30% of the boys in the class have not studied Maths.
So, number of boys in the class who have not studied Maths = 30% of 90 = 27
60% of the students have studied Maths.
Number of students who have studied Maths = 60% of 150 = 90
Number of students who have not studied Maths = 150 - 90 = 60
Number of girls who have not studied Maths = 60 - Number of boys who have not studied Maths = 60 - 27 = 33

Let the price of the AC box ticket = Rs. x
Then, the price of DC ticket = Rs. 0.6x
The price of the box ticket = 0.72x
And, the price of the balcony ticket 

And, 0.72x + x = 86
x = 86/1.72 = 50
So, the price of a balcony ticket = 0.48 × 50 = Rs. 24

Number of males = 0.52 × 5,00,000 = 2,60,000
Number of females = 0.48 × 5,00,000 = 2,40,000
Literacy rate = 70%
Number of educated males + Number of educated females = 0.7 × 5,00,000 = 3,50,000
Number of educated males = 0.60 × 2,60,000 = 1,56,000
Number of educated females = 3,50,000 - 1,56,000 = 1,94,000
Percentage of educated females = (1,94,000/2,40,000) × 100 = 80.83%

Let the total number of questions be 100 and each be of 4 marks.
Therefore, 1 mark is deducted for wrong answer.
For A, number of questions attempted = 80
Number of right questions = 40
Number of wrong questions = 40
Total marks obtained by A = 4 × (Number of right questions) - 1 × (Number of wrong questions)
= 4 × 40 - 1 × 40 = 160 - 40 = 120
For B, number of questions attempted = 60
Number of right questions = 48
Number of wrong questions = 12
Total marks obtained by B = 4 × (Number of right questions) - 1 × (Number of wrong questions)
= 4 × 48 - 1 × 12 = 192 - 12 = 180
B got more marks.

Total number of candidates = 2450
Total female candidates who appeared for the test 

Total number of candidates who qualified the test 

Now, total number of female candidates who qualified the test = 45% of 500 = 225
Thus, % of female candidates who qualified the test