Percentage Type 3 Shortcut Tricks
A very important chapter of math is Percentage. Percentage Type 3 Shortcut Tricks is based on, to find the amount spent, percentage of a expenditure of a particular person whose different expenses are given in percent form from saving and according with that.
At first we need to follow some traditional rule then we go through the shortcut tricks. This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below given some more example for your better practice.
when we say 100 percent in mathematical notation we write 100% so 35 % means 35 per 100 and 65% means 65 per 100 it is a proportion per hundred and it is used to find marks, profit percent or loss percent of a particular product. It is also used in find out the depreciation at the rate percent per annul.
we can expressed ration number as percent, Here is some different percent related problems are given with shortcut tricks below.
Percentage Type 3 Shortcut Tricks
Shortcut Tricks are very important things in competitive exam. Time takes a huge part in competitive exams. If you manage your time then you can do well in those exams. Most of us miss this thing. Few examples on percentage shortcuts is given in this page below. We try to provide all types of shortcut tricks on percentage here. Visitors please read carefully all shortcut examples. These examples here will help you to better understand shortcut tricks on percentage.
Before doing anything we recommend you to do a math practice set. Then find out twenty math problems related to this topic and write those on a paper. Solve first ten math problems according to basic math formula. You also need to keep track of timing. After finish write down total time taken by you to solve those ten maths. Now practice our shortcut tricks on percentage and read examples carefully. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of the time. You will surely see the improvement in your timing this time. But this is not all you want. You need to practice more to improve your timing more.
Few Important things to Remember
We all know that the most important thing in competitive exams is Mathematics. That doesn’t mean that other topics are less important. You can get a good score only if you get a good score in math section. A good score comes with practice and practice. All you need to do is to do math problems correctly within time, and you can do this only by using shortcut tricks. But it doesn’t mean that you can’t do math problems without using any shortcut tricks. You may have that potential to do maths within time without using any shortcut tricks.
But, so many other people may not do the same. For those we prepared this percentage shortcut tricks. We try our level best to put together all types of shortcut methods here. But if you see any tricks are missing from the list then please inform us. Your little help will help others.
Example #1 – Percentage Type 3
The sum of 40% of a number and 25% of that same number is 1599. What would be the 75% of that number?
- 1705
- 1785
- 1845
- 1995
Show Answer Show How to Solve Open Rough Workspace
Let, the number is P.
(P x 40 / 100) + (P x 25 / 100) = 1599
P = 2460
So, 75% of the number is = 2460 x 75 / 100 = 1845.
Example #2 – Percentage Type 3
Difference between 75% of a number and 43% of same number is 6400. What would be the 8% of that number?
- 1000
- 1200
- 1400
- 1600
Show Answer Show How to Solve Open Rough Workspace
75% – 43% = 6400
32% = 6400 = 20000
So, 8% of the number is = 20000 x 8 / 100 = 1600.
Example #3 – Percentage Type 3
When denominator of a fraction increased by 20% and numerator of a fraction is decreased by 40% then resultant fraction becomes 4/6. What would be the original fraction?
- 4 / 3
- 3 / 4
- 5 / 3
- 3 / 5
Show Answer Show How to Solve Open Rough Workspace
60 / 120 = 4 / 6
4 x 120 / 6 x 60 = 4 / 3.
Example #4 – Percentage Type 3
Bijoy invest his money from his savings in different ways. He invest 30% on buying books, 10% on nutrition, 15% on wages and 22% on purchase a bike and after that all expenditure he saved Rs.4600/-. Find how much he spent on bike?
- Rs.2800/-
- Rs.4400/-
- Rs.4600/-
- Rs.4800/-
Show Answer Show How to Solve Open Rough Workspace
Let, the total income of Bijoy is X.
Total expenditure from income X x ( 30% + 10% + 15% + 22% ) = X x 77%
Total savings = X x 23%
X = 4600 x 100 / 23 = 20000
Expenditure on Bike = 22%
So, 20000 x 22 / 100 = 4400.
Example #5 – Percentage Type 3
If X is 80% of Y, then what percent of X is Y?
- 5 / 4
- 3 / 4
- 4 / 3
- 4 / 5
Show Answer Show How to Solve Open Rough Workspace
X = 80 / 100 x Y
X = 4 / 5 x Y
Y / X = 5 / 4.
Example #6 – Percentage Type 3
54.5% of 600 + 30.5% of 1800 = ? + 147
- 599
- 649
- 699
- 729
Show Answer Show How to Solve Open Rough Workspace
327 + 549 = ? + 147
? = 729
Example #7 – Percentage Type 3
What is 25% of 25% equal to?
- 0.25%
- 0.0625%
- 0.525%
- 25%
Show Answer Show How to Solve Open Rough Workspace
25% of 25% = 25 / 100 x 25 / 100 = 1 / 16 = 0.0625.
Example #8 – Percentage Type 3
By subtracting 60% of a number from that number, we get 20. What would be the number?
- 45
- 52
- 50
- 60
Show Answer Show How to Solve Open Rough Workspace
Let, the number is X.
Then,
X – 60 / 100X = 20
X – 3 / 5 = 20
2X / 5 = 20
X = 20 x 5 / 2 = 50.
Example #9 – Percentage Type 3
In Mumbai due to price reduction of sugar by 10%, a person is able to buy 2 kg more for Rs.280/-. Find the reduced rate/kg of sugar?
- Rs.32/- per Kg.
- Rs.20/- per Kg.
- Rs.28/- per Kg.
- Rs.14/- per Kg.
Show Answer Show How to Solve Open Rough Workspace
10% of 280 is due to reduction of price in sugar
Rs.28 = 2 kg
Rs.14 = 1 kg.
Example #10 – Percentage Type 3
In an party election between two candidates, one got 45% of the total valid votes. 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got was?
- 3500 Votes
- 3300 Votes
- 5300 Votes
- 4800 Votes
Show Answer Show How to Solve Open Rough Workspace
Total number of votes are 7500.
Number of valid votes are 80%.
Or we can say (80 / 100) x 7500 = 6000.
Candidate One got 45% of the total valid votes.
So, Other valid votes got by other candidate is (100% – 45%) = 55%.
So, the other candidate got,
(55 / 100) × 6000 = 3300 votes.
The total number of valid votes by the other candidate got is 3300.
Example #11
If the price of diesel is increased by 25%. By how much percent a car owner must reduce his consumption in order to maintain the same budget?
- 20%
- 22%
- 25%
- 35%
Show Answer Show How to Solve Open Rough Workspace
25% = 25 x 100 / 125 = 20% less
20% a car owner must reduce his consumption in order to maintain the same budget.
Example #12
If the sugar price is increased by 8%, then by how much percent should a housewife reduce her consumption of sugar, to have no extra expenditure?
- 8%
- 5%
- 6.50%
- 7.40%
Show Answer Show How to Solve Open Rough Workspace
Less% = 8 x 100 / 108
= 800 / 108
= 7.40%
Example #13
In an general election a candidate who gets 64% of the total votes and wins by 476 votes. What is the total number of votes polled?
- 1700 Votes
- 2000 Votes
- 2500 Votes
- 3100 Votes
Show Answer Show How to Solve Open Rough Workspace
Candidate A got 64% votes and
Candidate B got (100% – 64%) = 36% votes.
Difference between two candidates are (64% – 36%) = 28%
Or we can say 28% = 476.
So, the total votes are
476 x 100 / 28 = 1700.
Few Examples of Percentage Tricks
- 1. Percentage Type1 Shortcut Tricks
- 2. Percentage Type2 Shortcut Tricks
- 3. Percentage Shortcut Tricks 4
- 4. Percentage shortcut tricks 5
- 5. Percentage calculation Shortcut Tricks
- 6. Percentage calculation on population Shortcut Tricks
- << Go back to Percentage shortcut Tricks main page
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Please elaborate the solutions
Kindly explain example 6
very nice
Geeta saves 18% of her salary.If her savings is equal to 1890 what would be her actual salery.
Plsss answer fast any one..
Rs 10500
Reduction of 2kg enablea a man to purchase 4kg more sugar fir rs 16. Calculate the orignal price of sugar.
pls explain 9th question
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