Percentages Questions for CAT with Answers PDF

Total CP = Rs. (12 × 4 + 16 × 2) = Rs. (48 + 32) = Rs. 80
SP after profit = Rs. (1.2 × 80) = Rs. 96
SP per dozen = Rs. 96/6 = Rs. 16

According to the question,
A = 1.5 B
Now,
Required percentage

Suppose, price of the mobile phone without tax is x.
Then, according to the question: x = 5436
⇒ x = 5436 × 8/9 = 604 × 8 = 4832
∴ Price of the mobile phone without tax = 4832
∴ Amount of tax paid = 5436 - 4832 = Rs. 604
Alternative solution:
With tax of 12.5% = Rs. 5436
Since, 12.5% can be written as 1/8 part.
So, 1/(1 + 8) part of 5436 is the tax.
5436/9 = 604
Tax = Rs. 604

If we assume A = 100 cm,
B will be = 100 × 1.3 = 130 cm.
Then, C will be = 130 × 0.7 = 91 cm.
(Since, C is 30% shorter than B, so 1 - 0.3 = 0.7)
Required percentage 

x% of 250 should be less than 60.
x% of 250 < 60

x < 24
∴ x should be less than 24.
It can be any integer from 1 to 23.
So, it can take 23 values.

Let the total votes be x.
Number of votes with Candidate

Number of votes with Candidate

Total votes by which Candidate B won = 0.6x - 0.4x = 9800
⇒ 0.2x = 9800
x = 9800/0.2 = 49,000

l₁ = l; b₁ = b; h₁ = h
V₁ = lbh
l₂ = 2l; b₂ = 3b; h₂ = h/2
V₂ = 3lbh
Increase in volume = 2lbh

Let x be the maximum marks.
Passing marks = 40 + 40 = 80
80 = 40% of x (as given)
80 = 40/100 of x
x = 80/0.4 = 200

Let there be 100 employees at Infosys.
Number of male employees = 60
Number of female employees = 40
Total number of employees who are getting bonus

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

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

The total surface area of cube = 6a² 
Since each side expands by 20%, new side

∴ Total surface area

So, the cost also increases by 36/25 times.