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Number Line Prime Class 7 Solutions Chapter 9 Percentages
Welcome to NCTB Solutions. Here with this post we are going to help 7th class students for the Solutions of Number Line Prime Class 7 Math Book, Chapter 9, Percentages. Here students can easily find step by step solutions of all the problems for Percentages, Exercise 9A and 9B Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get Chapter 9 solutions. Here in this post all the solutions are based on latest Syllabus.
Percentages Exercise 9A Solution :
Question no – (1)
| S.NO. | Fraction | Decimal | Percentage |
| (a) | 0.14 | 14% | |
| (b) | 1/200 | ||
| (c) | 205 | ||
| (d) | 0.59 | ||
| (e) | 9/100 |
Solution :
| S.NO. | Fraction : | Decimal : | Percentage : |
| (a) | 14/100 = 7/50 | 0.14 | 14% |
| (b) | 1/200 | 0.5/1000 = 0.005 | 0.5% |
| (c) | 20/100 = 1/5 | 0.2 | 205 |
| (d) | 59/100 | 0.59 | 59% |
| (e) | 9/100 | 0.09 | 9% |
Question no – (2)
Solution :
(a) 2/5
Given, 2/5
= (2/5 × 100)%
= 40%
(b) 2 3/5
Given, 2 3/5
= (13/5 × 100)%
= 260%
(c) 3/25
Given, 3/25
= (3/25 × 100)%
= 12%
(d) 7/40
Given, 7/40
= (7/40 × 100)
= 17.5 %
Question no – (3)
Solution :
(a) 67%
Given, 67%
= 67/100
(b) 2 1/8%
Given, 2 1/8%
= 17/8%
= 17/800
(c) 9.8%
Given, 9.8%
= 9.18/100
= 98/1000
(d) 136%
Given, 136%
= 136/100
Question no – (4)
Solution :
(a) 6.8 %
Given, 6.8 %
= 6.8/1000
= 17/250
= 17 : 250
(b) 78%
Given, 78%
= 78/100
= 39/50
= 39 : 50
(c) 3.45%
Given, 3.45%
= 345/10000
= 69/2000
= 69 : 2000
(d) 4.90%
Given, 4.90%
= 49/1000
= 49:1000
Question no – (5)
Solution :
(a) 87%
Given, 87%
= 87/100
= 0.87
(b) 3 1/6 %
Given, 3 1/6 %
= 19/65
= 3.17/100
= 0.0317
(c) 345%
Given, 345%
= 345/100
= 3.45
(d) 0.78 %
Given, 0.78 %
= 78/10000
= 0.0078
Question no – (6)
Solution :
(a) 2.27
= 227/100
= 227%
(b) 0.87
= 87/100
= 87%
(c) 32.6
= 326 × 10/10 × 10
= 3260%
(d) 0.145
= 145/1000
= 14.5%
Question no – (7)
Solution :
(a) 3 : 5
= 3/5
= (3/5 × 100)%
= 60%
(b) 12 : 24
= 12/24
= (12/24 × 100)%
= 50%
(c) 34 : 17
= 34/17
= (34/17 × 100)%
= 200%
(d) 12 : 5
= 12/5
= (12/5 × 100)
= 240%
Percentages Exercise 9B Solution :
Question no – (1)
Solution :
(a) 6% of 350
= 6/100 × 350
= 210/10
= 21
(b) 6 1/5 of 200 /
= 6 1/5%
= 31/5 × 1/100 × 200
= 62/5
= 12.4
(c) 2 1/4% of 6 hour 40 minutes
∴ 6 hour 45 min = (6 × 60) + 40min
= 360 + 40
= 400 min
∴ 2 1/45 = 9/4%
= 9/4 × 1/100 × 400
= 9
(d) 7/8 % of 78m
= 7/8 × 1/100 × 78
= 2 + 3/4 × 1/100
= 68.25/100 m
= 0.6825 m
Question no – (2)
Solution :
(a) 25 hours of 5 days
5 days = 5 × 24 hour
= 120 hour
∴ (25/120 × 100)%
(b) 25 cm of 200 m
∴ (25/100 × 1/200 × 100)%
= 1/85
= 0.125%
(c) 200 gm of 2 kg
∴ 200gm= 200/1000kg
∴ (20/100 × 1/2 × 100) %
= 10%
(d) 700 paise of ₹7
∴ 700 paise = 700/100 rupee
∴ (7/7 × 100) %
= 100%
Question no – (3)
Solution :
(a) 40 as a percentage of 80
= (40/80 × 100)%
= 50%
(b) Rs 50 as a percentage of Rs 25
= (50/25 × 100)%
= 200%
(c) 34 | as percentage of 100 |
=(34/100 × 100)%
= 34%
(d) 45 m as percentage of 80 m
= (45/80 × 100)%
= 225/4%
Question no – (4)
Solution :
∴ Total employee = 250,
Female = 150
∴ Percentage,
= (150/250 × 100)
= 60%
Question no – (5)
Solution :
= (240 × 20/100)
= 48
Therefore, total 48 employee’s are unpaid.
Question no – (6)
Solution :
= (450/600 ×10)
= 75%
Therefore, he scores 75% mark.
Question no – (7)
Solution :
∴ Total students = 2000, 40% girls
∴ There are
= (40/100 × 2000)
= 800
Therefore, there are total 800 girls in that school.
Question no – (8)
Solution :
∴ (12 × 25/100)
= 3
Therefore, 3 pickle’s are left in the jar
Question no – (9)
Solution :
∴ Total toothpicks = 120, 20% are used
∴ (120 × 20/100)
= 24 toothpicks are used
∴ (120 – 24)
= 96
Therefore, now, I have 96 toothpicks.
Question no – (10)
Solution :
= 12 × 52/100
∴ 12 × (100 – 52)/100
= 12 × 48/100
= 5.76 kg copper.
Question no – (11)
Solution :
∴ 20 × 10/100
= 2 Cups are melted.
∴ (20 – 2)
= 18
Therefore, only 18 cups are good.
Next Chapter Solution :
