Math, asked by mnethajiprathibha, 1 year ago

Percentages lesson summary

Answers

Answered by THEBIGDOG365
1

1. Percent implies “for every hundred”.

% is read as percentage and x % is read as x per cent.

2. To calculate p % of y

(p/100) x y = (p x y)/100

p % of y = y % of p

3. To find what percentage of x is y: y/x × 100

4. To calculate percentage change in value

Percentage change = {change/(initial value)} x 100

5. Percentage point change = Difference of two percentage figures

6. Increase N by S % = N( 1+ S/100 )

7. Decrease N by S % = N (1 – S/100)

8. If the value of an item goes up/down by x%, the percentage reduction/increment to be now made to bring it back to the original point is 100x/ (100 + x) %.

9. If A is x% more /less than B, then B is 100x/(100 + x) % less/more than A.

10. If the price of an item goes up/down by x %, then the quantity consumed should be reduced by 100x/ (100 + x)% so that the total expenditure remains the same.

11. Successive Percentage Change

If there are successive percentage increases of a % and b%, the effective percentage increase is:

{(a + b + (ab/100)}%

12. Percentage – Ratio Equivalence:

formulas-and-tricks-11

formulas-and-tricks-21

N is Numerator

D is the Denominator

13. Product Stability Ratio:

A × B = P

If A is increased by a certain percentage, then B is required to be decreased by a certain percentage to keep the product P stable.


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