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**Joy of Mathematics Class 6 Solutions Chapter 8 Percentage**

Welcome to NCTB Solution. Here with this post we are going to help 6th class students for the Solutions of Joy of Mathematics Class 6 Book, Chapter 8 Percentage. Here students can easily find step by step solutions of all the problems for Percentage. Exercise wise proper solutions for every problems. All the problem are solved with easily understandable methods so that all the students can understand easily. Students will get chapter 8 solutions. Here students will find exercise wise solutions for chapter 8 Exercise 8.1, 8.2 and 8.3

**Percentage Exercise 8.1 Solution :**

**Question no – (1) **

**Solution :**

**(a) 3/4**

= (3/4 × 100)

= 75%

**(b) 3/10**

= (3/10 × 100)%

= 30%

**(c) 7/25**

= (7/25 × 100)

= 28%

**(d) 1/3**

= (1/3 × 100)

= 33 1/3%

**(e) 3/8**

= (3/8 × 100)%

= 75/2%

= 37 1/2%

**Question no – (2) **

**Solution :**

**(a) 30%**

= 30/100

= 3/10

= 0.3

**(b) 45%**

= 45/100

= 9/20

= 0.45

**(c) 6 1/4%**

= 25/4 × 100

= 1/16

= 0.0625

**(d) 11 1/9%**

= 100/9 × 100

= 1/9

= 0.11

**(e) 125%**

= 125/100

= 5/4

= 1.25

**(f) 121%**

= 121/100

= 1.21

**(g) 3.5%**

= 35/10 ×100

= 7/200

= 0.035

**(h) 14 2/5%**

= 72/100 × 5%

= 18/125

= 0.144

**(i) 50%**

= 50/100

= 1/2

= 0.5

**(j) 5 1/4%**

= 21/4

= 21/4 × 100

= 2/400

= 0.035

**(k) 16 3/4%**

= 67/4×100%

= 67/400

= 0.1675

**(l) 12 1/2%**

= 25/2 × 100

= 1/8

= 0.125

**Question no – (3) **

**Solution :**

**(a) 1.05**

= 1, 05/100

= 105%

**(b) 0.375**

= 375/1000

= 375/100 × 1/0

= 37.75%

= 37.5%

**(c) 3.275**

= 3275/1000

= 3275/100 × 1/10

= 237.5%

**(d) 0.075**

= 75/1000

= 75/100 × 1/10

= 7.5%

**Percentage Exercise 8.2 Solution :**

**Question no – (1) **

**Solution :**

**(a) 20% of 600**

= 20/100 × 600

= 120

**(b) 40% × 540**

= 40/100 × 540

= 216 litres

**(c) 13% of 30**

= 13/100 × 30

= 390/100

= 3.9 kg

**(d) (6.5/100 × 750) kg**

= 65/100 × 750

= 48.75 kg

**(e) 2% of 80**

= 20/100 × 80

= 16 Rs

**(f) 10% of 60 kg**

= (10/100 × 60)

= 6 kg

**(g) (12/100 × 96) km**

= 11.52 km

**(h) 15% of 75**

= 15/100 × 75

= 225/20

= 11.25

**Question no – (2) **

**Solution :**

**(a)** (20/250 × 100)%

= 8%

**(b)** (30/240 × 100)%

= 12.5%

**(c)** (360/720 × 100)%

= 50%

**(d)** (240/300 × 100)%

= 80%

**Question no – (3) **

**Solution :**

**(a) Let, he ‘x’**

= x × 10/100 = 50

= x = 50 × 100/10

= 500

**∴** Number is 500

**(b) Let, no is ‘x’**

= x × 20/100 = 90

= x = 100 × 90/20

= 450

**∴** No is 450

**(c) 45% is 540**

Let, no is ‘x’

x × 45/100 = 540

= x = 540 × 100/45

= 1200

**(d) Let, no be ‘x’**

**∴** x × 75/100 = 360

= x = 360 × 100/75

= 480

**Question no – (4)**

**Solution :**

**Chocolates,**

= 40/60 × 100

= 200/3

= 66 2/3%

**Toffees,**

= 20/60 × 100

= 100/3

= 33 1/3%

**Question no – (5)**

**Solution :**

Rest = {(100 – (20 + 50)}

= 100 – 70

= 30%

**∴**** White** = (50/100 × 4900)

= 2450

**∴**** Red** = (20/100 × 4900)

= 980

White : Red

= 2450 : 980

= 245 : 98

= 5 : 2

**Question number – (6)**

**Solution :**

Percentage of rice,

= (800 × 5/10)

= 250

= 250/800

= 5/16 × 100

= 31.25%

**∴** Percentage of flour,

= (800 × 9/16)

= 450/800

= (45/80 × 100)

= 56.25%

**Question no – (7)**

**Solution :**

Total books = (7 + 21)

= 28 books

Novels = (7/28 × 100)%

= 25%

Now fiction books,

= (21/28 × 100)%

= 75%

**Question no – (8)**

**Solution :**

Social studies

= (120 × 45/100)%

= 54

**Mathematics,**

= (120 × 55/100)%

= 66

**∴** Ratio = 54 : 66

= 9 : 4

**Question no – (9)**

**Solution :**

Failed students,

= (2500 × 10/100)

= 250

**Question no – (10)**

**Solution :**

Savings,

= (5400 × 25/100)

= 1350 Rs

**Question no – (11) **

**Solution :**

**Mathematics,**

= (35/40 × 100)%

= 87.5

**Physics,**

= (25/30 × 100)%

= 83.33%

**∴** Mathematics get better marks

**Percentage Exercise 8.3 Solution :**

**Question no – (1)**

**Solution :**

Percentage increase,

= (210000 – 1600000/1600000 × 100)%

= (500000/1600000 × 100)%

= 31.25%

**Question no – (2)**

**Solution :**

New price will be,

= (1595 × 90/100)

= 1435.5 Rs

**Question no – (3)**

**Solution :**

New price will be,

= (300 × 90/100)Rs

= 270 Rs

**Question no – (4)**

**Solution :**

Percentage Increase,

= (2841.75 – 2526/2526) × 100%

= (315.75/2526 × 100)%

= 12.5%

**Question no – (5)**

**Solution :**

New price will be,

= (350 × 105/100)

= 367.5 Rs

**Question no – (6)**

**Solution :**

Percentage decrease

= (20,000 – 18000/20,000 × 100)%

= (2000/20,000 × 100)%

= 10%

**Question no – (7) **

**Solution :**

1st, term,

= (65/120 × 100)%

= 54.16%

2nd term = (85/120 × 100)%

= 70.83%

Percentage Increase,

= (70.83 – 54.16)%

= 16.67%

**Next Chapter Solution : **

👉 Chapter 9 👈