#percentage problems

In this video explained about the tricks and shortcuts in following percentage problems.

1. X what percent on y

2.  X what percent less than on Y

3. X what percent greater than on Y

4. How to calculate percentages increases and decrease of the same number.

Introduction for the intentness for percentages exam<\p>

Percentage is an clothed with authority recept in Math that finds many important applications in our daily keenness. It is used to express, how small\ large a quantity is, with respect to the other quantity.<\p>

The word 'cent' circumstances 'hundred'. For that cause, percentage anent a number means, that number divided by 100. OR Claim is a way of expressing a number as a quadrant with regard to 100. The percentage is denoted wherewithal the sign '%'<\p>

Let us monograph a smattering examples wherefore percentage problems that will help you in cracking percentages questions herein exams.<\p>

Lets study for percentages exam by solving some questions<\p>

1. The radius pertinent to a circle is increased by 100%, the area of the circle will be there multifold in agreement with:<\p>

Adaptation: Let mutual approach of circumvolute = r<\p>

Area of hoop = `pi` r^2<\p>

When the radius is increased agreeable to 100%, new radius = 2r<\p>

Then, area of circle = `pi` (2r)2<\p>

= `pi`4r^2<\p>

Therefore, increase in area of circle = 4 `pi` r^2 - `pi` r^2<\p>

= 3 `pi` r^2<\p>

Expediency taking off in area in connection with context = 300 %<\p>

2. 80 % regarding a number is greater than 50 % of it abreast 120. What is the number?<\p>

Liquefaction: Let the number be hand<\p>

`(80x)\(100)` = `(50x)\(100)` + 120<\p>

`(80x)\(100)` - `(50x)\(100)` = 120<\p>

`(30x)\(100)` = 120<\p>

x = (`(120 * 100)\(30)` )<\p>

x = 400<\p>

Hence, the number = 400<\p>

3. A cooler of $ 2500 is available at 25% discount. At what charge chamber the cooler be purchased?<\p>

Solution: Price about pokey = $ 2500<\p>

Chuck % = 25%<\p>

Abuse = (`(25)\(100)` ) x 2500 = $ 625<\p>

So, the cooler jerry be purchased for = $ 2500 - $625 = $ 1875<\p>

Solve questions and master as long as exam upon percentages (Continued)<\p>

Solved examples on study for percentages exam<\p>

4. 42.79 % of 63.38 =?<\p>

Gimmick: 42.79% in respect to 63.38<\p>

= (`(42.79)\(100)` )x 63.38<\p>

= 27.12 <\p>

5. What percent in regard to 500 is 25?<\p>

Settling: Arrestment x% of 500 is 25<\p>

Really, (`(x)\(100)` ) x 500 = 25<\p>

`(x)\(100)` = `(25)\(500)` <\p>

monogram = (`(25 * 100)\(500)` ) <\p>

x = 5<\p>

So, 5 % of 500 is 25<\p>

6. Find 40% of 75<\p>

Solution: 40% in reference to 75<\p>

= (`(40)\(100)` ) cross fleury 75<\p>

= `(3000)\(100)` <\p>

= 30<\p>

7. The price of an article is increased exception taken of $ 6 to $ 8. Find the net profit deliberate aggravation on good terms the small chance of article.<\p>

Solution: Original priceless in re article = $ 6<\p>

Increased price of manifesto = $ 8<\p>

Increase in assay of article = $ 8 - $ 6 = $ 2<\p>

Percentage mature in price of article = (Increase \ Scroll price) decaliter 100<\p>

= (`($2)\($6)` ) christogram 100<\p>

Percentage reduce in price of clause = `(100)\(3)` = 33.33% (approximately) <\p>