Collins Maths Solutions Class 7 Chapter 7 Percentage
Welcome to NCTB Solution. Here with this post we are going to help 7th class students for the Solutions of Collins Maths Class 7 Mathematics, Chapter 7, Percentage. Here students can easily find chapter 7 solutions with exercise wise explanation. Students will find proper solutions for Exercise 7.1 and 7.2 Our teacher’s solved every problem with easily understandable methods so that every students can understand easily. Here in this post all the solutions are based on ICSE latest Syllabus.
Percentage Exercise 7.1 Solution :
Question no – (1)
Solution :
(a) 2%
= 2/100
= 1/50
∴ 2 percent as fraction = 1/50
(b) 17.5%
= 175/100
= 7/4
= 1 3/4
∴ 17.5 percent as fraction = 1 3/4
(c) 4.25%
= 425/100 × 100
= 17/400
∴ 4.25 percent as fraction = 17/400
(d) 3 1/8%
= 25/8 × 100
= 1/32
∴ 3 1/8 percent as fraction = 1/32
Question no – (2)
Solution :
(a) 1/12
= (1/12 × 100)
= 25/3
= 8 1/3%
∴ 1/12 as percentage = 8 1/3%
(b) 29/50
= (29/50 × 100)
= 58%
∴ 29/50 as percentage = 58%
(c) 51/10
= (51/10 × 100)
= 510%
∴ 51/10 as percentage = 510%
(d) 6 1/4
= (25/4 × 100)
= 625%
∴ 6 1/4 as percentage = 625%
Question no – (3)
Solution :
(a) 1%
= 1/100
= 0.01
∴ 1% as decimal = 0.01
(b) 75%
= 75/100
= 3/4
= 0.75
∴ 75% as decimal = 0.75
(c) 3 1/8%
= 25/8 × 100
= 5/40
= 1/32
= 0.03125
∴ 3 1/8% as decimal = 0.03125
(d) 12.5%
= 125/10 × 100
= 5/40
= 1/8
= 0.125
∴ 12.5 % as decimal = 0.125
Question no -(4)
Solution :
(a) 0.21
= 21/100
= 21%
∴ 0.21 as percentage = 21%
(b) 0.02
= 2/100
= 2%
∴ 0.02 as percentage = 2%
(c) 1.2
= 12/100 × 100
= 120%
∴ 1.2 as percentage = 120%
(d) 0.125
= (125/1000 × 100)
= 12.5%
∴ 0.125 as percentage = 12.5%
Question no – (5)
Solution :
(a) 3%
= 3/100
= 3 : 100
∴ 3% as ratio = 3 : 100
(b) 48%
= 48 : 100
= 12 : 25
∴ 48% as ratio = 12 : 25
(c) 8 1/3%
= 25/3 × 100
= 25 : 300
= 1 : 12
∴ 8 1/3% as ratio = 1 : 12
(d) 7.5%
= 7.5/100
= 7.5 : 100
= 75 : 1000
= 3 : 40
∴ 7.5 % as ratio = 3 : 40
Question no – (6)
Solution :
(a) 3 : 10
= 3/10 × 100
= 30%
∴ 3 : 10 as percentage = 30%
(b) 13 : 60
= (13/69 × 100)
= 65/3
= 21 2/3%
∴ 13 : 60 as percentage = 21 2/3%
(c) 3 : 4
= (3/4 × 100)
= 75%
∴ 3 : 4 as percentage = 75%
(d) 8 : 5
= (8/5 × 100)
= 160%
∴ 8 : 5 as percentage = 160%
Percentage Exercise 7.2 Solution :
Question no – (1)
Solution :
(a) 2000 : 4
= 4/2000 × 100
= 0.2%
(b) 2.80 : 0.56
= (0.56/280 × 100)
= 20%
(c) 3.5 l : 630 l
= (3.5 × 100
= 3500
(d) 7 1/3 kg : 5 1/2 kg
= (51/2 / 7 1/3 × 100)
= (11/2 / 22/3 × 100)
= 11/2 × 3/22 × 100
= 75%
Question no – (2)
Solution :
(a) 15% of Rs 80
= (15/100 × 80)
= 12 Rs.
(b) 6.5% of 1,400
= (6.5/100 × 1400)
= 91 Rs.
(c) 8 1/3% of 4 dozes
= {(25/3 × 100 × (4 × 12)}
= (25/300 × 48)
= 4
(d) 30% of 1 l 20 ml
= (30/100 × 1020) ml
= 306 ml
Question no – (3)
Solution :
(a) 500 by 3.4%
= (500 + 500 × 3.4/100)
= (500 + 17)
= 517 Rs.
(b) 125 by 125%
= 125 + (125 × 125/100)
= 125 + 156.25
= 281.25 Rs.
(c) 2400 by 16 2/3%
= 2400 + (2400 × 50/300)
= 2400 + 400
= 2800 Rs
(d) 11.20 m by 25%
= 11.20 + (11.20 × 25/100)
= 11.20 + 2.8
= 14 m
Question no – (4)
Solution :
(a) 50 by 12.5%
= 50 – (50 × 12.5/100)
= 50 – 6.25
= 43.75
(b) 25,000 by 50%
= (25000 – 25000 × 50/100)
= (25000 – 12500)
= 12500
(c) 15.40 by 15%
= 15.40 – (15.40 × 5/100)
= 15.40 – 2.31
= 13.09
(d) 15 kg by 16 2/3%
= 15 – (15 × 16 2/3 / 100)
= 15 – 2.5
= 12.5 kg
Question no – (5)
Solution :
= 40/3% → 520
∴ 1% → 520/ 40/3
∴ 100% → 520 × 3 × 100/40
= 3900
Now, 3 12/13% of the same amount,
= (3900 × 51/13/100)
= 15300/100
= 153 Rs.
Therefore, 3 12/13% of the same amount will be Rs 153.
Next Chapter Solution :
👉 Chapter 8 👈
