Dear Friends,
As you all know that Time management is one of the most important tasks in all competitive examinations. We all struggle to attempt as many questions as possible in given time to have a niche over other competitors.
So, keeping in mind the needs of aspirants, Grade Up team has come up with an initiative called “Important Questions with Short Tricks” focusing on Maths section related to the exam. To make the chapter easy for you all, we are providing you all some Short Tricks to solve the questions in Quant Section. We hope you will like it. Feel free to share your feedback with us in the comment section.
5 Most Important Questions with Short Tricks on Percentage For SSC Exams 2016
Question 1: If the radius of a circle is increased by 50%, its area is increased by
(1) 125%
(2) 100%
(3) 75%
(4) 50%
Solution :
Let the old area to be 100
50% increase means 150%
So, 100 x 150% x 150% because of 2 dimensional
Increase = 225-100= 125%
Short Trick :
Formula:- a + b+ (a x b)/100
50% + 50% + 50% of 50%
100% + 25% = 125%
Question 2: The price of an article is reduced by 25% but the daily sale of the article is increased by 30%. The net effect on the daily sale receipt is
(3) 2% increase
(4) 2% decrease
Solution:
Let the price of the article be Rs 100 and the daily sale be 100 units
Revenue per day = 100 x 100 = Rs 10000
Case II :
New receipts = 75 x 130 = Rs 9750
Decrease = (10000 – 9750) = 250
Short Trick 1:
Let the daily sale is 100
Means : 100- 97.5 = 2.5 % decrease
Decreases by 2.5%
Short Trick: 2:
-25% + 30 % + (-25%) of (30%)
= 2.5 % decrease
Question 3: In a test consisting of 80 questions carrying one mark each, Arpita answer 65% of the first 40 questions correctly. What percent of the other 40 questions does she need to answer correctly to score 75% on the entire test?
(1) 60
(2) 80
(3) 75
(4) 85
Solution:
According to question = (x% of remaining 40 ques.) + (65% of already done 40 question) = 75% of total 80 questions
40x + 2600 = 6000
40x = 3400
x = 85 %
Simple Way:
65% of 40 questions = 26 questions
Thus, she gets 26 marks
But she needs to score 75% of 80
Req. marks = 60 – 26 = 34 marks
Now, x% of 40 = 34
Question 4: If Ravi's salary is 25% more than Raju's salary, then the percentage by which Raju's salary is less than Ravi's salary is ________
(1) 15
(2) 20
(3) 25
(4) 32
Solution:
This means if Raju's salary is Rs 4 then Ravi's salary in Rs 5.
Short Trick:
Question 5: In a village, each of the 60% of families has a cow; each of the 30% of families has buffalo and each of the 15% of families has both a cow and a buffalo. In all there are 96 families in the village. How many families do not have a cow or a buffalo?
(1) 20
(2) 24
(3) 26
(4) 28
Solution:
Families have cow = + 60%
Families have buffalo = + 30%
Families have both = - 15%
= 75%
Don't have any = 25% of 96 = 24
For More Shortcuts you can click the link given below:
Important Formulas and Shortcuts to solve Percentage
All the Best
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