EduSahara™ Worksheet

Question 1

1.

The ratio 5 : 4 is proportional to which of the following ratios?

(i)

10

:

16
(ii)

20

:

8
(iii)

15

:

12
(iv)

25

:

24
(v)

30

:

20

Question 2

2.

Find the ratio between 4 months and 7 years

(i)

1

:

23
(ii)

0

:

21
(iii)

1

:

21
(iv)

1

:

19

Question 3

3.

A certain amount has been divided into two parts in the ratio 4 : 5. If the first part is 96, find the total amount.

(i)

215
(ii)

216
(iii)

217
(iv)

219
(v)

213

Question 4

4.

In an examination, the ratio of passes to failures was 8 : 1.
Had 70 less appeared and 10 less passed, the ratio of passes to failures would have been 71 : 3.
How many students appeared for the examination?

(i)

820
(ii)

805
(iii)

815
(iv)

810
(v)

800

Question 5

5.

Divide 1288 in the ratio 4 : 3

(i)

737 , 552
(ii)

735 , 552
(iii)

736 , 549
(iv)

736 , 555
(v)

736 , 552

Question 6

6.

Increase
624
in the ratio
16 : 20

(i)

783
(ii)

779
(iii)

781
(iv)

780
(v)

778

Question 7

7.

Find the number which bears the same ratio
to
6
9
that
4
8
does to
5
3

(i)

3
5
(ii)

(
-1
5
)
(iii)

1
3
(iv)

1
7
(v)

1
5

Question 8

8.

The antecendent in the ratio
2
5

:

2
7
=

(i)

0
(ii)

2
3
(iii)

4
5
(iv)

2
5
(v)

2
7

Question 9

9.

(i)

₹

6000.00

:

₹

2000.00

:

₹

3000.00
(ii)

₹

3000.00

:

₹

6000.00

:

₹

2000.00
(iii)

₹

2000.00

:

₹

6000.00

:

₹

3000.00
(iv)

₹

2000.00

:

₹

3000.00

:

₹

3000.00
(v)

₹

2000.00

:

₹

3000.00

:

₹

6000.00

Question 10

10.

The work done by (13x + 3) men in (2) days and work done by (x + 1) men in (5x + 1) days is in the ratio of 22 : 21 . Find the value of x

(i)

7
(ii)

2
(iii)

3
(iv)

4
(v)

5

Question 11

11.

Divide 4884 in the ratio 13 : 19 : 12

(i)

1443 , 2111 , 1332
(ii)

1443 , 2107 , 1332
(iii)

1444 , 2109 , 1332
(iv)

1443 , 2109 , 1332
(v)

1442 , 2109 , 1332

Question 12

12.

The ages of A and B are in the ratio 9 : 10. 8 years ago, their ages were in the ratio 8 : 9. Find their present ages.

(i)

90

:

100
(ii)

72

:

80
(iii)

63

:

70
(iv)

54

:

60

Question 13

13.

The fraction equivalent of the ratio
88

:

28
=

(i)

88
28
(ii)

43
14
(iii)

44
13
(iv)

45
14
(v)

28
88

Question 14

14.

Find the sub-triplicate ratio of
r
:
a

(i)

r

2

:

a

2
(ii)

∛

r

:

∛

a
(iii)

√

r

:

√

a
(iv)

r

3

:

a

3

Question 15

15.

Find the triplicate ratio of
i
:
v

(i)

i

3

:

v

3
(ii)

∛

i

:

∛

v
(iii)

i

2

:

v

2
(iv)

√

i

:

√

v

Question 16

16.

The ages of A and B are in the ratio 7 : 9. 10 years hence, their ages will be in the ratio 4 : 5. Find their present ages.

(i)

63

:

81
(ii)

70

:

90
(iii)

56

:

72
(iv)

84

:

108

Question 17

17.

If
(

6

x

2

−

11

x

y

+

4

y

2

)

=

0
, find
x : y

(i)
4 : 3

or

0 : 2
(ii)
4 : 3

or

1 : 5
(iii)
4 : 3

or

1 : 2
(iv)
5 : 3

or

1 : 2
(v)
3 : 3

or

1 : 2

Question 18

18.

Find the sub-duplicate of the given ratio
4

:

256
=

(i)

2

:

16
(ii)

2

:

18
(iii)

3

:

16
(iv)

1

:

16
(v)

2

:

13

Question 19

19.

In a company, the number of engineers to managers is in the ratio 2 : 1 . After a year, when 10 engineers and 10 managers left, the ratio between engineers to managers is 5 : 2 . Find the number of engineers and managers at the beginning?

(i)

90
(ii)

110
(iii)

100
(iv)

70
(v)

80

Question 20

20.

(i)

m : qi
(ii)

qi : mf
(iii)

q

m

:

i

f
(iv)

fm : qi
(v)

i : mf

Question 21

21.

Divide 10707 in the ratio 30 : 13

(i)

7470 , 3239
(ii)

7470 , 3237
(iii)

7471 , 3237
(iv)

7470 , 3234
(v)

7469 , 3237

Question 22

22.

If
(

3

x

+

5

y

)

=

(

−

2

x

−

5

y

)
, find the value of
(

3

x

2

−

2

y

2

)

(

3

x

2

+

2

y

2

)

(i)

5
9
(ii)

1
(iii)

3
7
(iv)

5
7

Question 23

23.

Find the ratio between 5 months and 5 years 6 months

(i)

5

:

66
(ii)

5

:

64
(iii)

5

:

68
(iv)

4

:

66

Question 24

24.

(i)

20
(ii)

22
(iii)

21
(iv)

23
(v)

25

Question 25

25.

Find the ratio between 3 gm and 4 kg

(i)

2

:

4000
(ii)

3

:

3998
(iii)

3

:

4002
(iv)

3

:

4000

Assignment Key