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
Ratio between the given number and 100
Saying per 100
30 % = 30/100 or 30 : 100
Shortcut 1 :
How to find percentage of a number in another number ?
"a" is what percent of "b" ?
Shortcut 2 :
If a number is increased/decreased to another number, how to find the increase in percentage ?
"80" is increased to "96"
Difference = 96 - 80 = 16
Percentage increase = (16 / 80) x 100% = 20%
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".
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