EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Ratio
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
A bag contains ₹1664 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 20 : 7 : 14. Find the number of coins of each type
(i)
261 , 96 , 177
(ii)
259 , 91 , 187
(iii)
258 , 96 , 182
(iv)
260 , 91 , 182
(v)
262 , 86 , 182
Question
2
2.
Find the ratio between 3 months and 9 years
(i)
0
:
36
(ii)
1
:
36
(iii)
1
:
33
(iv)
1
:
39
Question
3
3.
If a : b =
3
:
15
and b : c =
17
:
19
,
then a : b : c =
(i)
50
:
255
:
285
(ii)
51
:
252
:
285
(iii)
51
:
255
:
285
(iv)
51
:
257
:
285
(v)
52
:
255
:
285
Question
4
4.
If a : b =
10
:
35
and b : c =
8
:
30
,
then a : b : c =
(i)
81
:
280
:
1050
(ii)
79
:
280
:
1050
(iii)
80
:
280
:
1050
(iv)
80
:
283
:
1050
(v)
80
:
277
:
1050
Question
5
5.
If
(
5
x
2
−
16
x
y
+
3
y
2
)
=
0
, find
x : y
(i)
1 : 5
or
2 : 1
(ii)
2 : 5
or
3 : 1
(iii)
0 : 5
or
3 : 1
(iv)
1 : 5
or
3 : 1
(v)
1 : 5
or
3 : 3
Question
6
6.
The ascending order of
8
:
9
,
1
:
2
,
2
:
3
,
1
:
4
is
(i)
2
:
3
,
1
:
4
,
8
:
9
,
1
:
2
(ii)
1
:
4
,
2
:
3
,
1
:
2
,
8
:
9
(iii)
1
:
4
,
8
:
9
,
2
:
3
,
1
:
2
(iv)
1
:
2
,
2
:
3
,
8
:
9
,
1
:
4
(v)
1
:
4
,
1
:
2
,
2
:
3
,
8
:
9
Question
7
7.
Two numbers are in the ratio 4 : 5. If 16 is added to each number, the ratio becomes 28 : 33. Find the numbers.
(i)
40
:
50
(ii)
48
:
60
(iii)
44
:
55
(iv)
36
:
45
(v)
32
:
40
Question
8
8.
Find the triplicate ratio of
t
:
c
(i)
t
3
:
c
3
(ii)
∛
t
:
∛
c
(iii)
t
2
:
c
2
(iv)
√
t
:
√
c
Question
9
9.
The ratio equivalent of the fraction
7
3
=
(i)
6
:
3
(ii)
3
:
7
(iii)
7
:
6
(iv)
7
:
3
(v)
7
:
1
Question
10
10.
Find the number which bears the same ratio
to
1
2
that
2
7
does to
9
49
(i)
7
8
(ii)
8
9
(iii)
7
10
(iv)
2
3
(v)
7
9
Question
11
11.
Find the third proportional of
128
and
16
(i)
16
(ii)
2
(iii)
128
(iv)
256
(v)
0
Question
12
12.
Find the compounded ratio of the
duplicate ratio of
11 : 13
,
the reciprocal ratio of
7 : 15
and the sub-duplicate ratio of
16 : 169
(i)
7259
:
15379
(ii)
7260
:
15379
(iii)
7260
:
15376
(iv)
7260
:
15382
(v)
7261
:
15379
Question
13
13.
Find the product of extremes of
8
:
11
and
13
:
14
(i)
143
(ii)
114
(iii)
112
(iv)
109
(v)
111
Question
14
14.
If
36
:
(
4
x
+
24
)
is the duplicate ratio of
3
:
7
,
find the value of x
(i)
43
(ii)
42
(iii)
40
(iv)
44
(v)
46
Question
15
15.
An employer reduces the number of
employees in the ratio of
20 : 11
and increases their wages
in the ratio
6 : 20
.
In what ratio, the wage bill is increased or decreased?
(i)
6
:
14
(ii)
6
:
8
(iii)
6
:
11
(iv)
5
:
11
Question
16
16.
If
(
3
x
2
−
11
x
y
+
10
y
2
)
=
0
, find x : y
(i)
4 : 3
or
2 : 1
(ii)
5 : 3
or
2 : 1
(iii)
5 : 3
or
2 : 3
(iv)
5 : 3
or
1 : 1
(v)
6 : 3
or
2 : 1
Question
17
17.
Divide 17710 in the ratio
3
7
:
6
7
:
4
3
(i)
2898 , 5796 , 9016
(ii)
2897 , 5796 , 9016
(iii)
2898 , 5798 , 9016
(iv)
2899 , 5796 , 9016
(v)
2898 , 5794 , 9016
Question
18
18.
The fraction equivalent of the ratio
8
:
6
=
(i)
2
(ii)
6
8
(iii)
5
3
(iv)
1
(v)
8
6
Question
19
19.
The fraction equivalent of the ratio
60
:
84
=
(i)
30
41
(ii)
60
84
(iii)
31
42
(iv)
84
60
(v)
29
42
Question
20
20.
Find the duplicate of the given ratio
1
:
14
=
(i)
0
:
196
(ii)
2
:
196
(iii)
1
:
198
(iv)
1
:
196
(v)
1
:
193
Question
21
21.
The consequent in the ratio
13
12
:
19
4
=
(i)
19
4
(ii)
19
2
(iii)
11
12
(iv)
21
4
(v)
13
12
Question
22
22.
What quantity must be added
to each of the terms of the ratio
80
:
56
to make it
5
:
4
?
(i)
43
(ii)
40
(iii)
41
(iv)
39
(v)
37
Question
23
23.
If a : b =
3
:
6
, b : c =
6
:
9
and c : d =
7
:
8
,
then a : b : c : d =
(i)
7
:
16
:
21
:
24
(ii)
6
:
14
:
21
:
24
(iii)
7
:
12
:
21
:
24
(iv)
7
:
14
:
21
:
24
(v)
8
:
14
:
21
:
24
Question
24
24.
Divide 777 in the ratio 10 : 6 : 5
(i)
371 , 222 , 185
(ii)
369 , 222 , 185
(iii)
370 , 220 , 185
(iv)
370 , 225 , 185
(v)
370 , 222 , 185
Question
25
25.
What number must be added to each term of the ratio
24
:
168
to make it
5
:
8
?
(i)
218
(ii)
217
(iii)
215
(iv)
216
(v)
213
Assignment Key
1) (iv)
2) (ii)
3) (iii)
4) (iii)
5) (iv)
6) (v)
7) (i)
8) (i)
9) (iv)
10) (v)
11) (ii)
12) (ii)
13) (iii)
14) (i)
15) (iii)
16) (ii)
17) (i)
18) (v)
19) (ii)
20) (iv)
21) (i)
22) (ii)
23) (iv)
24) (v)
25) (iv)
