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Encapsulate
math

PERCENTAGE AND ITS APPLICATIONS

Percentage Conversion of Percentage into Fraction,
Decimal and Ratio and vice versa.

A percentage is a number or ratio that Decimal
can be expressed as a fraction of 100.
× 100 ÷ 100
It is denoted by ‘‘%’’
÷ 100 ÷ 100
Value Ratio PERCENTAGE Fraction
Percentage formula = × 100 × 100 × 100
Total value
Decreased or increased value
% change = × 100%
Original value

Profit and Loss Simple Interest

Profit = S.P. – C.P. (as S.P. > C.P.) Simple interest is the method of calculating the interest
amount on a certain sum of money at certain rate of
Profit interest over a given period of time.
Profit % = × 100%
C.P. PR × T
×
That is S.I. =
Loss = C.P. – S.P. (as C.P. > S.P.) 100
Loss where, P = Principal, R = Rate of interest, T = Time period
Loss % = × 100%
C.P. S.I. = Simple interest
100 × SI.. 100 × SI.. 100 × SI..
And P = , R = , T =
×
R × T PT PR
×
Amount: Sum of simple interest and principal amount.
i.e., A = P + S.I.

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MAths connect

Earth is a rocky, terrestrial planet. It has a solid and active surface with mountains, valleys, canyons, plains, and so
much more. Earth is special because it is an ocean planet. Water covers 70% of the Earth's surface. Earth’s total
land area is about 14,84,28,950 sq. km. The total land area of Asia is about 30 % of this total, and that of India
is 7 percent of Asia's land area. What is the approximate land area of Asia and India to the nearest square km?

233 Percentage and Its Applications