Simplification based on Percentage

The Percentage problems are the basic methodology in the Numerical Ability section. These percentage problems are frequently asked in any levels of the difficulty in every competitive exam. Especially these questions are focused mainly on every bank examinations. The percentage problems are asked as separate questions as simplification. Percentage problems are the easily understood with few concepts. We provide you with those concepts and shortcut methodologies to crack percentage questions in a few seconds. We also provide you with problems based on percentage quiz on a daily basis to improve your performance in the exam. The candidates preparing for banking and other competitive exams can validate your ability here.

Percentage to Fraction

Fraction to percentage

Simplification based on percentage

Question 1: What % of 780 is 259.2 ?

a) 33.23                         b) 32.23                          c) 31.23                                  d) 30.23

Solution :

Let X% of 780 is 259.2
Then, (X/100)x780 = 259.2
780X/100 = 2592/10
78X = 2592
X = 2592/78 = 33.23

Hence the answer is option a.

Question 2:  Find the value of X in X% of 1864 + 60 = 618.2

a) 19.04                             b) 39.44                               c) 29.94                                  d) 23.02

Solution :

Given expression is X% of 1864 + 60 = 618.2
1864 x X/100 + 60 = 618.2
1864 x X/100 = 558.2
X = 5582/10 x 100/1864
X = 29.94

Hence the answer is option c.

Question 3:  90% of 3000 + 70% of 3400 = ? % of 6350

a) 80                             b) 60                                c) 124                                d) none of these

Solution :

Given equation is: 90% of 3000 + 70% of 3400 = ? % of 6350

We have to find the value of '?'

Let ? be X.

Then, 90% of 3000 + 70% of 3400 = X% of 6350
3000x90/100 + 3400x70/100 = 6350X/100
3000x90 + 3400x70 = 6350X
27000+23800 = 635X
50800/635 = X
X = 80

Hence the required answer is 80.

Question 4: What is the value of X in 135% of X = 40% of 845 ?

a) 123                           b) 239                                  c) 142                          d) none of these

Solution :

Given equation is 135% of X = 40% of 845

X x 135/100 = 40x845/100
135X = 40x845
X = 40x845/135 = 250.37

Hence the answer is option d.