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**Number Line Prime Class 6 Solutions Chapter 9 Percentage**

Welcome to NCTB Solutions. Here with this post we are going to help 6th class students for the Solutions of Number Line Prime Class 6 Math Book, Chapter 9, Percentage. Here students can easily find step by step solutions of all the problems for Percentage, 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.

**Percentage Exercise 9A Solution :**

**Question no – (1) **

**Solution :**

**(a) 35 : 16**

= 35/16 × 100

= 875/4

= 218.75%

**(b) 18 : 25**

= 18/25 × 100%

= 72%

**Question no – (2) **

**Solution :**

**(a) 38.26**

= 3826/100 × 100%

= 3826%

**(b) 7.885**

= 7885/100 × 100%

= 788.5%

**Question no – (3) **

**Solution :**

**(a) 14/16**

= 14/16 × 100%

= 350/4%

= 87.50%

**(b) 14/125**

= 14/125 × 100%

= 56/5%

= 11.2%

**(c) 42/64**

= 42/64 × 100%

= 1050/16%

= 65.625%

**(d) 23/40**

= 23/40 × 100%

= 115/2

= 57.5%

**Question no – (4) **

**Solution :**

**(a) 33.33%**

= 33.33/100

= 3333/100 × 100

= 0.3333

**(b) 457.8%**

= 457.8/100

= 4578/10 × 100

= 4.578

**Question no – (5) **

**Solution :**

**(a) 32%**

= 32/100

= 8/25

**(b) 18%**

= 18/100

= 9/50

**(c) 64%**

= 64/100

= 14/25

**(d) 45%**

= 45/100

= 9/20

**Question no – (6)**

**Solution :**

Rajendra will receive

= 3/(3+4+9)

= 3/16 × 100%

= 18.75%

Dharmendra will receive

= 4/16 × 100%

= 25%

Jitendra will receive

= 9/16 × 100%

= 56.25%

**Question no – (7)**

**Solution :**

Percentage of Sugar

= 12/25 × 100%

= 48%

**Percentage Exercise 9B Solution :**

**Question no – (1) **

**Solution :**

**(a) 24% of 162**

= 24/100 × 162

= 3888/100

= 38.88

**(b) 80% of 80kg.**

= 80/100 × 80

= 64 kg

**(c) 16% of 2242cm**

= 16/100 × 2242

= 35872/100

= 358.72 cm

**(d) 5.4% of 25 minutes**

= 5.4/100 × 25

= 54/10 × 100 × 25

= 1350/1000

= 1.35 min

**(e) 1% of 100L**

= 1/100 × 100

= 1 L

**Question no – (2) **

**Solution :**

**(a) Rs 20 is** ___** % of Rs 30 **

= 20/30 × 100%

= 200/3%

= 66.66%

**(b) 14.5 kg is **____ **% of 50 kg. **

= 14.5/50 × 100%

= 29%

**(c) 32 minutes is** ____** % of 2 hours. **

= 2 hour = 120 min

= 32/120 × 100

= 320/12%

= 26.66%

**(d) 15 seconds is** ____** % of 5 minutes.**

= 5 min = 5 × 60

= 300 sec

So, 15/300 × 100%

= 5%

**(e) 5.6 mL is** ____ **%** **of 20 dL. **

= 20 dL = 2000 mL

So, 5.6/2000 × 100%

= 56/2000 × 10 × 100

= 0.28%

**Question no – (3)**

**Solution :**

**(a) Increased value**

= 850 + 850 × 15/100

= 850 + 127.50

= Rs 977.50

**(b) Decreased value**

= 1990 – 1900 × 20/100

= 1990 – 398

= Rs 1592

**(c) Increased value**

= 556 + 556 × 16.5/100

= 556 + 556 × 165/100× 10

= 556 + 91.74

= Rs 477.74

**Question no – (4)**

**Solution :**

3% of 6m

= 6 × 3/100

= 18/100

= 0.18 m

The length of the cloth now

= 6 – 0.18

= 5.82 m

**Question no – (5)**

**Solution :**

Percentage of the pocket money he save

= 12/90 × 100%

= 120/9

= 13.33%

**Question no – (6)**

**Solution :**

Increase value

= (750 – 650)

= 100

**∵** Percentage of the increased in the piece of the cake

= 100/650 × 100

= 1000/65

= 15.38%

**Question no – (7)**

**Solution :**

Fuel used

= ( 18 – 14.5) L

= 3.5 L

So, percentage of used fuel

= 3.5/18 × 100

= 35/10× 18 × 100

= 350/18

= 19.44%

**Question no – (8)**

**Solution :**

Let the number = 100

So, increased number = 112

So, 112/100 Should be multiplied.

**Question no – (9)**

**Solution :**

Let the number = x

So, x + x × 20/100 = 500

= x + x /5 = 500

= 6x/5 = 500

= 500 × 5/6

= 416.66

**Question no – (10)**

**Solution :**

Let the number = x

So, x + 12%/10 x = 784

=> 112/100 x = 784

=> x = 784 × 100/112

= 700

**Chapter 9 Review Time Questions Solution : **

**Multiple the Choice Question : **

**Question no – (1) **

**Solution :**

= 152 × 14/100

= 2128/100

= 21.28

= 14% of 152 is 21.28

Correct option – (a)

**Question no – (2)**

**Solution :**

Rohan get,

= 4/4+5+7

= 4/16 × 100%

= (a) 25%

**Question no – (3)**

**Solution :**

3/8 × 100%

= 300/8%

= (c) 37.5%

**Question no – (4)**

**Solution :**

= 1.6%

= 1.6/100

= 16/10 × 100

= (b) 2/125

**Question no – (5) **

**Solution :**

What percentage of Rs 450 is Rs 126

= 126/450 × 100%

= 28%

Correct option – (d)

**Question no – (6)**

**Solution :**

What percentage of 3 kg is 60 g

3kg = 3000 g

So, 60/3000 × 100%

= 2%

Correct option – (c)

**Next Chapter Solution : **

👉 Chapter 10 👈