# Joy of Mathematics Class 6 Solutions Chapter 8

## 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 :

Updated: June 23, 2023 — 7:08 am