**Please check Solutions of Ratio and Proportion Class 6 Worksheet at the end of the questions.**

**Download Ratio and Proportion Class 6 Worksheet**

**1. ****Convert the ratio 12 : 60 in its simplest form.
**a) 1 : 3

b) 3 : 10

c) 11 : 5

d) 1 : 5

**2. Find the ratio of 60 cm to 2.5 m?**

a) 7 : 26

b) 9 : 28

c) 5 : 22

d) 6 : 25

**3. Find the ratio of 50 g to 2 kg?**

a) 1 : 40

b) 4 : 43

c) 1 : 37

d) 2 : 41

**4. Find the ratio of 30 min to 3 hours?**

a) 2 : 7

b) 4 : 9

c) 1 : 6

d) 1 : 10

**5. Find the ratio of 75 paise to ₹ 1.5**

a) 2 : 3

b) 4 : 5

c) 1 : 4

d) 1 : 2

**6. Find the Equivalent ratio of 5 : 4**

a)

b)

c)

d)

**7. Two numbers are in the ratio 2 : 3 and their sum is 75. Find the numbers?**

a) 30 and 45

b) 34 and 41

c) 25 and 50

d) 33 and 42

**8. Divide ₹ 4500 among X and Y in the ratio 3 : 2**

a) X = 2450 , Y = 1950

b) X = 2500 , Y = 2000

c) X = 2700 , Y = 1800

d) X = 2600 , Y = 1900

**9. Divide ₹ 1800 among X , Y and Z in the ratio 3 : 4 : 1**

a) X = 675 , Y = 900 , Z = 225

b) X = 800 , Y = 675 , Z = 225

c) X = 775 , Y = 1000 , Z = 325

d) X = 675 , Y = 775 , Z = 225

**10. Compare the ratios ( 2 : 1 ) and ( 1 : 4 )**

a) ( 2 : 1 ) > ( 1 : 4 )

b) ( 2 : 1 ) = ( 1 : 4 )

c) ( 2 : 1 ) < ( 1 : 4 )

**11. Find the missing terms = **

a) 21

b) 19

c) 20

d) 22

**12. Find the missing terms:**

** = = **

a) 7, 26

b) 6, 27

c) 8, 27

d) 9, 25

**13. Are the ratios 90 cm : 180 cm and 180 m : 340 m in proportion?**

a) Yes

b) No

**14. Are 6 , 9 , 10 , 15 in proportion?**

a) Yes

b) No

**15. If 2 : 4 : : y : 6, find the value of y?**

a) 4

b) 3

c) 5

d) 6

**16. If 4 : y : : y : 16, find the value of y?**

a) 8

b) 9

c) 7

d) 10

**17. If 2, 12, y are in proportion, find the value of y?**

a) 71

b) 73

c) 72

d) 74

**18. There are 45 girls and 75 boys in class. Then find the ratio of number of boys to the number of girls?**

a) 3 : 2

b) 5 : 3

c) 2 : 4

d) 5 : 6

**19. 8 workers can reap a field in 12 days, in how many days can 4 workers reap the same field?**

a) 26 days

b) 25 days

c) 24 days

d) 23 days

**20. If 12 mangoes cost ₹ 36 , what is the cost of 15 mangoes**

a) ₹ 30

b) ₹ 45

c) ₹ 57

d) ₹ 46

**21. If a mechanic earns ₹ 2000 at 2 cars. How much he will earn in 1 day, if in a day he receive 12 cars?**

a) ₹ 12345

b) ₹ 12000

c) ₹ 12213

d) ₹ 11981

**22. If a student pays ₹ 15000 as annual fees to the school. Find his fee per month?**

a) ₹ 1250

b) ₹ 1387

c) ₹ 1393

d) ₹ 1225

**Ratio and Proportion Class 6 Worksheet Solutions**

**Ratio and Proportion Class 6 Worksheet – Solution 1**

HCF of 12 and 60 is 12

Since, 12 : 60

=

Dividing Both 12 and 60 by their HCF

=

=

= 1 : 5

Hence, the simplest form of 12 : 60 is 1 : 5

**Correct Answer – d) 1 : 5**

**Ratio and Proportion Class 6 Worksheet – Solution 2**

Taking both the quantities in same unit, we have

2.5 m = ( 2.5 x 100 ) = 250 cm

The equation now becomes, 60 cm : 250 cm

or

=

Dividing both the numbers by their HCF, i.e

=

= = 6 : 25

Hence, the required ratio is 6 : 25

**Correct Answer – d) 6 : 25**

**Ratio and Proportion Class 6 Worksheet – Solution 3**

Taking both the quantities in same unit, we have

2 kg = ( 2 x 1000 ) = 2000 g

The equation now becomes 50 g : 2000 g

or

=

Dividing both the numbers by their HCF, i.e 50

=

= = 1 : 40

Hence, the required ratio is 1 : 40

**Correct Answer – a) 1 : 40**

**Ratio and Proportion Class 6 Worksheet – Solution 4**

Taking both the quantities in same unit, we have

3 hours = ( 3 x 60 ) = 180 min

The equation now becomes 30 min : 180 min

or

=

Dividing both the numbers by their HCF, i.e 30

=

= = 1 : 6

Hence, the required ratio is 1 : 6

**Correct Answer – c) 1 : 6**

**Ratio and Proportion Class 6 Worksheet – Solution 5**

Taking both the quantities in same unit, we have

₹ 1.5 = ( 1.5 x 100 ) = 150 paise

The equation now becomes 75 paise : 150 paise

or

=

Dividing both the numbers by their HCF, i.e 75

=

= = 1 : 2

Hence, the required ratio is 1 : 2

**Correct Answer – d) 1 : 2**

**Ratio and Proportion Class 6 Worksheet – Solution 6**

On multiplying or dividing each term of a ratio by the same non zero number, we get a ratio equivalent to the given ratio

For,

Both numerator and denominator of given fraction is multiplied by same nonzero number i.e 4

=

is an equivalent ratio of

is not an equivalent ratio of As both 5 and 4 are not multiply by same non zero number

is not an equivalent ratio of As both 5 and 4 are not multiply by same non zero number

is not an equivalent ratio of As both 5 and 4 are not multiply by same non zero number

**Correct Answer – c) **

**Ratio and Proportion Class 6 Worksheet – Solution 7**

Let the required number be 2a and 3a

Since the sum of these two numbers is given, we can say that

2a + 3a = 75

5a = 75

a =

a = 15

So, the first number is 2a = 2 x 15

= 30

Second number is 3a = 3 x 15

= 45

Hence, two numbers are 30 and 45

**Correct Answer – a) 30 and 45**

**Ratio and Proportion Class 6 Worksheet – Solution 8**

Total money = ₹ 4500

Given ratio = 3 : 2

Sum of ratio terms = ( 3 + 2 )

= 5

Give: part of ₹ 4500 to X

Give: part of ₹ 4500 to Y

that is,

X ‘s share = ₹ ( 4500 x ) = ₹ 2700

Y ‘s share = ₹ ( 4500 x ) = ₹ 1800

**Correct Answer – c) X = 2700 , Y = 1800**

**Ratio and Proportion Class 6 Worksheet – Solution 9**

Total money = ₹ 1800

Given ratio = 3 : 4 : 1

Sum of ratio terms = ( 3 + 4 + 1 )

= 8

X share = ₹ ( 1800 x ) = ₹ 675

Y share = ₹ ( 1800 x ) = ₹ 900

Z share = ₹ ( 1800 x ) = ₹ 225

**Correct Answer – a) X = 675 , Y = 900 , Z = 225**

**Ratio and Proportion Class 6 Worksheet – Solution 10**

We can write

( 2 : 1 ) = and ( 1 : 4 ) =

Now, let us compare and

LCM of 1 and 4 is 4

Making the denominator of each fraction equal to 4

We have, = =

and = =

In case of Like fractions, the number whose numerator is greater is larger. Hence we can say >

That is >

Hence, ( 2 : 1 ) > ( 1 : 4 )

**Correct Answer – a) ( 2 : 1 ) > ( 1 : 4 )**

**Ratio and Proportion Class 6 Worksheet – Solution 11**

Let =

Then, 4 x 35 = 7y

7y = 4 x 35

y =

y = 20

Hence, =

**Correct Answer – c) 20**

**Ratio and Proportion Class 6 Worksheet – Solution 12**

Let =

Then, 56 x 13 = 104y

104y = 56 x 13

y =

y = 7

Since, =

Again, let =

Then, 7z = 14 x 13

z =

z =

z = 26

Since, =

Hence, = =

**Correct Answer – a) 7 , 26**

**Ratio and Proportion Class 6 Worksheet – Solution 13**

We have 90 cm : 180 cm

= 90 : 180

=

=(HCF of 90 and 180 is 90 )

=

180 m : 340 m

= 180 : 340

=

=( HCF of 180 and 340 is 20 )

=

Since, the ratios 90 cm : 180 cm and 180 m : 340 m are equal to and . So, they are not in proportion.

**Correct Answer – b) No**

**Ratio and Proportion Class 6 Worksheet – Solution 14**

We have, 6 : 9 = = =

and 10 : 15 = = =

Since, 6 : 9 = 10 : 15

Hence, 6 , 9 , 10 , 15 are in Proportion

Alternative method: Product of extremes = Product of means

Here, Means are 9 and 10

Extremes are 6 and 15

Product of extremes = 6 x 15 = 90

Product of means = 9 x 10 = 90

Since, Product of extremes = Product of means

Hence, 6 , 9 , 10 , 15 are in Proportion

**Correct Answer – a) Yes**

**Ratio and Proportion Class 6 Worksheet – Solution 15**

We know that, Product of means = Product of extremes

In the given numbers, we can say that 4 , y are means and 2 , 6 are extremes

4 x y = 2 x 6

y =

y = 3

Hence, y = 3

**Correct Answer – b) 3**

**Ratio and Proportion Class 6 Worksheet – Solution 16**

Clearly, Product of means = Product of extremes

y x y = 4 x 16

= 4 x 16

= 64

Hence, y = 8

**Correct Answer – a) 8**

**Ratio and Proportion Class 6 Worksheet – Solution 17**

2 , 12 , y are in proportion

Which means 2 , 12 , 12 , y are in proportion

i.e, 2 : 12 : : 12 : y

Product of means = Product of extremes

here,

means = 12 and 12

extremes = 2 and y

12 x 12 = 2 x y

144 = 2 x y

y =

Hence, y = 72

**Correct Answer – c) 72**

**Ratio and Proportion Class 6 Worksheet – Solution 18**

=

On simplifying,

= ( HCF of 75 and 45 is 15 )

= = 5 : 3

Hence,the ratio is 5 : 3

**Correct Answer – b) 5 : 3**

**Ratio and Proportion Class 6 Worksheet – Solution 19**

Clearly, less workers will take the more days.

And, more workers will take less days.

8 workers can reap a field in = 12 days

1 worker can reap a field in = ( 12 x 8 ) days

Hence, 4 workers can reap a field in = days = 24 days

Hence, 4 workers can reap a field in 24 days

**Correct Answer – c) 24 days**

**Ratio and Proportion Class 6 Worksheet – Solution 20**

Cost of 12 mangoes = ₹ 36

Cost of 1 mango = ₹

Cost of 15 mangoes = ₹

= ₹ 45

**Correct Answer – b) ₹ 45**

**Ratio and Proportion Class 6 Worksheet – Solution 21**

Earning on 2 cars = ₹ 2000

1 car = ₹ = ₹ 1000

Earning on 12 cars = ₹ ( 1000 x 12 )

= ₹ 12000

**Correct Answer – b) ₹ 12000**

**Ratio and Proportion Class 6 Worksheet – Solution 22**

Annually means 1 year = 12 months

Fees of 12 month = ₹ 15000

Fees of 1 month = ₹

= ₹ 1250

**Correct Answer – a) ₹ 1250**

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