PERCENTAGE PROBLEMS SHORTCUTS
About "Percentage Problems Shortcuts"
Percentage Problems Shortcuts :
In this section, we are going to see the shortcuts which are much required to solve math problems based on percentage.
First let us understand what is percentage.
Percentage can be defined as follows,
Comparing the given number to 100
or
Ratio between the given number and 100
or
Saying per 100
For example,
30 % = 30/100 or 30 : 100
Percentage Problems Shortcuts
Shortcut 1 :
How to find percentage of a number in another number ?
For example,
"a" is what percent of "b" ?
Shortcut 2 :
If a number is increased/decreased to another number, how to find the increase in percentage ?
For example,
"80" is increased to "96"
Difference = 96 - 80 = 16
Percentage increase = (16 / 80) x 100% = 20%
Percentage problems shortcuts in business
Shortcut 3 :
Cost price and profit percentage are given.
Cost price = C.P, Profit percentage = P%
Then Selling price (S.P) = (100+P)% x C.P
Shortcut 4 :
Cost price and loss percentage are given.
Cost price = C.P, Loss percentage = L%
Then Selling price (S.P) = (100 - L)% x C.P
Shortcut 5 :
Profit = S.P - C.P
Loss = C.P - S.P
Shortcut 6 :
Cost price and Profit are given
Cost price = C.P, Profit = "K"
Shortcut 7 :
Cost price and Loss are given
Cost price = C.P, Loss = "K"
Shortcut 8 :
Selling price and profit percentage are given.
How to find cost price ?
Use "Hint 1" and solve for C.P
Shortcut 9 :
Selling price and loss percentage are given.
How to find cost price ?
Use "Hint 2" and solve for C.P
Shortcut 10 :
Marked Price : It is the price before discount given
Selling price = Marked price - Discount value
Shortcut 11 :
Marked price = M.P, Discount = D%
Then, Discount value = (D% ) x M.P
Selling price (S.P) = (100 - D)% x M.P
Shortcut 12 :
Marked price (M.P) and discount value are given.
Then shortcut to find the discount percentage is,
Shortcut 13 :
RETAILER USING FALSE WEIGHT :
A trader cheats his customer to make a profit by stating that he sells at cost price.But he gives his customer less than 1000 grams (false weight) for every kg.
Cheated value = Original weight - False weight
Then shortcut to find profit percentage is,
Shortcut 14 :
Shortcut 15 :
Apart from the shortcuts given above, if you need practice problems on percentage, please click here.
After having gone through the stuff given above, we hope that the students would have understood "Shortcuts for solving percentage problems".
Apart from the stuff given above, if you want to know more about "Shortcuts for solving percentage problems", please click here
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WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
Sum of all three four digit numbers formed using 0, 1, 2, 3
Sum of all three four digit numbers formed using 1, 2, 5, 6
