## Percentage Chapter for class 7 pdf

Percentage Mathematics: in this post we will explain about mathematics for class 7 . We learn in this post how we convert any fraction to decimal and how we find out percentage of any numbers. Now lets start.

Definition:- A percentage is a fraction it means that 1/100, If we find out any percentage of any numbers means that numbers divided by 100 means denominator is 100.

Read=> लाभ और हानि के प्रश्न उत्तर

The meaning of x percentage is any object divide to equal in 100 parts. Now we denoted as below:-

x% = x/100

For Example:- (i) 36% = 36/100 = 9/25

(ii) 0.6% = 6/1000 = 3/500

Transform the fraction a/b as percentage: a/b = (a/b x 100)%

For Example :-(i) 3/4 = 3/4 x 100 = 75%

(ii) 0.8 = 8/10 x 100 = 80%

1. If the value of A is R% more from B then

Hence, Value of B is low from A = {R/(100+R)X100}%

2. If the value of A is R% low from B, then

Hence, the value of B is more from A = (R/ (100-R) x100} %

(i) If any objects rate is increased R%, but expense no increase then,

Consumption reduction in object

Consumption reduction = {R/(100+R X100}%

(ii)If any objects rate is decreased R%, but expense no decrease then,

Consumption increase in object

Consumption reduction = {R/(100-R X100}%

**Based on population percentage**

Let be population of any city is P and increase yearly on the rate of R%, then

(i) Population after n year = P (1+R/100) n

(ii)Before population n year = P/ (1+R/100) n

Percentage Math problems are always asks in competitive examination. So taking attention we explain some easy and shortcut method solved question.

**Convert the following below question decimal fractions:**

(i) 20%

Solve:- 20/100 = 1/5 = 0.2

(ii)8%

Solve: – 8/100 = 0.08

(iii) 0.25%

Solve: – 25/10000 = 0.0025

Q. Convert 9/16 to percentage rate?

Solve:- 9/16 x 100 = 900/16 =56.25%

**Percentage Math Problems with solutions**

**Question: 1, what percent of 48 are 6?**

Solve:- Let x% of 48 = 6

Then, 48 x x/100 = 6

=>12x/⅝ = 6

=>X = 6 x 25/12 = 12.5%

**Question: 2, what percent of 18 are 36?**

Solve:- Let x% of 18 = 36

Then, 18 X x/100 = 36

18 x = 100 X 36

X = 3600 /18 = 200

**Question: 3, 4:5 =? % .**

Solve:- 4:5 = (4/5 X 100)% = 80%

**Question: 4, ? of 52% =182.**

Solve:- Let the unknown number is x

x X 52/100 =182

==> 52x = 182 X 100

==> x = 350

**निम्न भिन्नों को प्रतिशत में बदलें .**

I) 1/5 = 1/5 x 100 = 220%

II) 7/4 = 7/4 x 100 = 175

III) 3/10 = 3/10 x 100 = 30%

IV) 11/20 = 11/20 x 100 = 55%

V) 1/3 = 1//3 x 100 = 100/3%

VI) 5/6 = 5/6 x 100 = 250//3%

VII) 4//7 = 4/7 x 100 = 400/7%

VIII) 3/8 = 3/8 x 100 = 75/2%

IX) 7/35 = 7/35 x 100 = 20%

X) 11/40 = 11/40 x 100= 55/2%

**निम्न दशमलव भिन्न को प्रतिशत में बदलें . **

i) 2.5 = 25x 100/10 = 250

ii) 32.5 = 325x 100 /x10 = 3250

iii) 0.4 = 4x 100/10 = 40

**Q5.40 बच्चों की एक स्कुल में 24 लड़कियां है तो लड़कों का प्रतिशत ज्ञात करें ?**

Solve:- स्कुल में छात्रों की कुल संख्यां = 40

=> लड़कियों की संख्या = 24

=> लड़कों की संख्या = 40 – 24 = 16

=> छात्रों की% = 16/40 x100 = 40 %