1.
TOPIC –
COMPARING
QUANTITIES
M.MUTHUSHREE

2.
oIN OUR DAILY LIVES,WE ARE
FREQUENTLY ASKED TO
COMPARE TWO QUANTITIES.
THEY MIGHT BE
HEIGHTS,WEIGHTS,WAGES,GR
ADES,AND SO ON…..

3.
TO COMPARE TWO QUANTITIES,THEY
MUST HAVE THE SAME UNITS .
FOR EXAMPLE:-
WHEN COMPARING THE
HEIGHTS OF TWO PEOPLE WHO ARE OF
150 CM AND 75CM TALL,WE USE RATIO TO
REPRESENT.TO REPRESENT THE ABOVE
EXAMPLE IN RATIO-150:75

4.
RATIO:-
A RATIO IS A MATHEMATICAL
EXPRESSION THAT COMPARES TWO
QUANTITIES USING A SPECIFIC
PROCEDUER.
FOR EXAMPLE:-
Q-FIND THE RATIO OF 3Km TO 300
SOLUTION- 3Km=3x1000m
=3000m
THUS,THE REQUIRED
RATIO,3Km:300m IS 3000:300=10:1

5.
EQUIVALENT RATIOS:-
Equivalent ratios are those that can be
simplified or reduced to the same value.Two
ratios are considered equivalent if one can
be expressed as a multiple of the other.
Some examples of equivalent ratios are 1:2
and 4:8, 3:5 and 12:20, 9:4 and 18:8, etc.

6.
Example : Find two equivalent ratios of 10:11.
Solution: To write the equivalent ratios of a given
ratio, we can multiply the terms by any natural number
starting from 2. We can divide as well if the terms are
not co-prime numbers . Here 10 and 11 are co-primes,
so let us multiply them by 2 and 3 to find their
equivalents.
10:11 = (10×2):(11×2) = 20:22
10:11 = (10×3):(11×3) = 30:33
Therefore, 20:22 and 30:33 are the two equivalent
ratios of 10:11.

7.
PERCENTAGE:-
In mathematics, a percentage is a
number or ratio that can be expressed as a fraction
of 100. If we have to calculate percent of a
number,divide the number by whole and multiply
by 100. Hence, the percentage means, a part per
hundred. The word per cent means per 100. It
represented by the symbol “%”.
Examples of percentages are:
10% is equal to 1/10 fraction
20% is equivalent to ⅕ fraction

8.
Eample
Q calclate 10 of 80
solution let 10 of 80=X
10/100 80=X
X=8

9.
Question
1. what is the value of percentage
2. How equivalent ratio are
formed
3. Fin the ratio of 2 hours to 12
hours
4.Are the two ratio 30;50 and
50/75 are equivalent

10.
Answer
1. 1/100
2. To find an equivalent ratios,
multiply or divide both the
quantites by the same number .
3. 2;12= 1;6
4. a.30/50=3/5 b. 50/75=10/15=2/3