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**Mathsight Class 6 Solutions Chapter 10 Commercial Mathematics**

Welcome to NCTB Solutions. Here with this post we are going to help 6th class students to solve Mathsight Class 6 Mathematics Book, Chapter 10, Commercial Mathematics. Here students can easily get all the exercise questions solution for Chapter 10, Commercial Mathematics Exercise 10.1, 10.2, 10.3 and 10.4

**Commercial Mathematics Exercise 10.1 Solution : **

**Question no – (1)**

**Solution :**

**(a)** 32 : 36

= 32/36

= 8/9

**(b)** 186 : 403

= 186/403

**(c)** 85 : 102

= 85/102

= 5/6

**(d)** 40p : ₹5

= 40/5 × 100

**(e)** 7 kg to 280g

= 7 × 1000/280

= 25 g

**(f)** 3/2 min to 45 sec

= 3 × 60/2 × 45

= 2 sec

**(g)** 4hr : 1day

= 4/24

= 1/6 day

**(h)** 4 feet : 2 years

= 4/2 × 3 feet

= 2/3 feet

**Question no – (2)**

**Solution : **

**(a)** 3/4, 12/8

= 3/4 < 3/2

**(b)** 7/9, 2/11

= 7/9 > 2/11

**(c)** 5/12, 9/16

= 5/12 < 9/16

**(d)** 3/15, 7/12

= 3/15 < 7/12

**(e)** 4/5, 7/9

= 4/5 > 7/9

**(f)** 7/10, 3/5

= 7/10 > 3/5

**Question no – (3)**

**Solution :**

9/6 = 15/30 = 27/18 = 28 = 54/36

**Question no – (4)**

**Solution :**

Required ratio,

= 15 / 750

= 1/50

**Question no – (5)**

**Solution :**

Short length,

= 30 × 2/5

= 12 cm.

Long length,

= 30 × 3/5

= 18 cm.

**Question no – (6)**

**Solution :**

Vascis money

= 480 × 3/10

= 144 Rs

Shobhit’s money

= 480 × 7/10

= 336 Rs

**Question no – (7)**

**Solution :**

Ratio male and female,

= 480 : 720

= 4 : 6

= 2 : 3

**Question no – (8)**

**Solution :**

**(a)** 3 : 14, 6 : 13, 5 : 7

**(b)** 7 : 18, 5 : 24, 3 : 8

**Question no – (9)**

**Solution :**

One number = 60 × 8/15 = 32

Another number = 60 × 7/15 = 28

**Commercial Mathematics Exercise 10.2 Solution : **

**Question no – (1)**

**Solution :**

**(a)** 5/25 = 1/5

6/30 = 1/5

**(b)** 15/40 = 3/8

= 3/8 = 3/8

**(c)** [Not proportion]

**(d)** [Not proportion]

**Question no – (2)**

**Solution :**

**(a)** x = (18)^{2}/6

Or, x = 18 × 18/6

Or, x = 54

**(b)** x^{2} = 36 × 49

Or, x^{2} = 1764

Or, x = √1764

Or, x = 42

**(c)** x^{2} = 25 × 4

Or, x^{2} = 100

Or, x = √100

Or, x = 10

**(d)** x = 8^{2}/64

Or, x = 84/64

Or, x = 1

**(e)** x^{2} = 36 × 16

Or, x^{2} = √6 × 6 × 4 × 4

Or, x = 6 × 4 = 24

**(f)** x^{2} = 100 × 256

Or, x = √10 × 10 × 16 × 16

Or, x = 10 × 16 = 160

**(g)** x^{2} = 49 × 9

Or, x = √7 × 7 × 3 × 3

Or, x = 7 × 3 = 21

**Question no – (3)**

**Solution :**

**(a)** b^{2} = 15 × 68

Or, b = √1156

Or, b = √17 × 17 × 4

Or, b = 17 × 2

Or, b = 34

**(b)** b^{2} = 14 × 56

Or, b = √7 × 2 × 7 × 8

Or, b = √7 × 7 × 16

Or, b = 7 × 4

Or, b = 28

**(c)** b^{2} = 18 × 72

Or, b = √9 × 2 × 8 × 9

Or, b = √9 × 9 × 16

Or, b = 9 × 4

Or, b = 36

**(d)** b^{2} = 2 × 108

Or, b = √12 × 12 × 9

Or, b = 12 × 3

Or, b = 36

**(e)** b^{2} = 5 × 45

Or, b = √5 × 5 × 9

Or, 5 × 3

Or, b = 13

**(f)** b^{2} = 12 × 48

Or, b = √12 × 12 × 4

Or, b = 12 × 2

Or, b = 24

**(h)** b^{2} = 4 × 100

Or, b = √4 × 10 × 10

Or, b = 2 × 10

Or, b = 20

**Question no – (4)**

**Solution :**

**(a)** 35/175 = 35/175 = 1/5

20/1 = 20 cm/100 cm

= 1/5

**(b)** 250/100 = 5/2

= 75/30 = 5/2

**(c)** 4/160 = 1/40

= 50/1250 = 50 × 1000/1250 g

= 40 g [Not proportion]

**(d)** 15/40 = 5/8

6/16 = 3/8 [Not proportion]

**Question no – (5)**

**Solution : **

Let, total capital = x

Salis capital = x × 7/(7+6) = x × 7/13

According to question,

7x/13 = 14000

Or, x = 14000 × 13/7

= 26000 Rs

∴ Expenditure,

= 26000 × 6/13

= 12000 Rs

**Question no – (6)**

**Solution :**

Sara covered distance 7 hr

= 7 × 250/5

= 350 km.

**Question no – (7)**

**Solution :**

Let, total sheet = x

∴ Breadth = x × 5/14

According to question,

5/14 × x = 15

Or, x = 15 × 14/5 = 42

∴ length will be,

= 42 × 9/14

= 27 cm

**Question no – (8)**

**Solution :**

Apple can purchased,

= 35 × 5/195

= 9 kg.

**Question no – (9)**

**Solution :**

Let, sum = x

According to question

x/945 = 9500/665

or, x = 9500 × 945/665

x = 13500 Rs

**Question no – (10)**

**Solution :**

Actual distance of A to B = 300 m

Map distance of A to B = 4 cm

= 4/100

= 0.04

Map distance of A to B = 7 cm

= 7/100

= 0.07 m

∴ Actual distance of A to B

= 300 × 0.07/0.04

= 525 m

**Commercial Mathematics Exercise 10.3 Solution : **

**Question no – (1)**

**Solution :**

C.P. of 28 pen,

= 28 × 192/16

= 336 Rs

**Question no – (2)**

**Solution :**

Cp of 7.5 m pipe

= 185 × 7.5/5

= 277.5 Rs

**Question no – (3)**

**Solution :**

1 week = 7 days

∴ he will paid,

= 24 × 3500/7

= 12000 Rs

**Question no – (4)**

**Solution :**

Number of erasers,

= 12 × 140/35

= 48

Hence, 48 eraser can be bought with Rs 12

**Question no – (5)**

**Solution :**

**(a)** He earn in 9 month,

= 41720 × 9/4

= 93870 Rs

**(b)** Number of month,

= 4 × 104300/41720

= 10 month

**Question no – (6)**

**Solution :**

Ribbon weighs,

= 168 × 25/42

= 100 gm

Thus, the weight of the ribbon will be 100 gm.

**Question no – (7)**

**Solution :**

Raina = 78/6 = 13

Kanan = 63/7 = 9

∴ Raina made 13 ball in 1 min .

**Question no – (8)**

**Solution :**

Aeroplan travel,

= 7 × 4000/5

= 5600 km.

So, the plane will travel 5600 km in 7 hours.

**Question no – (9)**

**Solution :**

1 dozen orange = 12 orange .

Cost of 14 orange,

= 14 × 30/12

= 35 Rs

Therefore, 14 orange will cost Rs 35.

**Commercial Mathematics Exercise 10.4 Solution : **

**Question no – (1)**

**Solution :**

**(a)** 43 %

= 43/100

**(b)** 105 %

= 105/100

= 21/20

**(c)** 230 %

= 230/100

= 23/10

**Question no – (2)**

**Solution :**

**(a)** 105/100

= 105 %

**(b)** 1/20

= 5/100

= 5 %

**(c)** 48/800

= 6/100

= 6 %

**Question no – (3)**

**Solution :**

**(a)** 5 %

= 5/100

= 0.05

**(b)** 31 %

= 31/100

= 0.31

**(c)** 324 %

= 324/100

= 3.24

**Question no – (4)**

**Solution :**

**(a)** 1.09

= 9/100

= 9%

**(b)** 0.45

= 45/100

= 45 %

**(c)** 2.07

= 207/100

= 207%

**Question no – (5)**

**Solution :**

Percentage of the student is sports activity,

= 2600/1500 × 100

= 40%

**Question no – (6)**

**Solution :**

Raiden save,

= 90000 – 40000

= 50000 Rs

Now the saving %,

= 50000/90000 × 100

= 55.55 %

**Question no – (7)**

**Solution :**

New price of story book,

= 110 × 250/100

= 275 Rs

Therefore, the new price of the story book will be Rs 275.

**Previous Chapter Solution : **