EduSahara™ Assignment
Name : Ratio word problems
Chapter : Ratio
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Two numbers are in the ratio 12 : 16. If 12 is added to each number, the ratio becomes 27 : 35. Find the numbers.
(i)
96
:
128
(ii)
84
:
112
(iii)
108
:
144
(iv)
120
:
160
(v)
72
:
96
Question
2
2.
The ratio of two numbers is
4
:
1
and their LCM is 48. Find the numbers.
(i)
44
:
11
(ii)
56
:
14
(iii)
52
:
13
(iv)
40
:
10
(v)
48
:
12
Question
3
3.
Find the number which bears the same ratio
to
5
8
that
4
9
does to
5
14
(i)
5
9
(ii)
1
(iii)
7
11
(iv)
7
9
Question
4
4.
The ages of A and B are in the ratio 7 : 8. 6 years hence, their ages will be in the ratio 8 : 9. Find their present ages.
(i)
42
:
48
(ii)
56
:
64
(iii)
35
:
40
(iv)
28
:
32
Question
5
5.
The ages of A and B are in the ratio 6 : 7. 5 years ago, their ages were in the ratio 5 : 6. Find their present ages.
(i)
24
:
28
(ii)
42
:
49
(iii)
30
:
35
(iv)
18
:
21
Question
6
6.
In a mixture of
240
litres,
the ratio of milk and water is
5 : 7
.
How much water must be added
to this mixture to make the ratio
5 : 12
?
(i)
99
(ii)
103
(iii)
98
(iv)
101
(v)
100
Question
7
7.
The ratio of males to females in a committee of 50 members is 4 : 1. How many more ladies should be added to the committee so that the ratio of males to females is 10 : 13?
(i)
43
(ii)
39
(iii)
41
(iv)
42
(v)
45
Question
8
8.
An employer reduces the number of
employees in the ratio of
16 : 5
and increases their wages
in the ratio
14 : 20
.
In what ratio, the wage bill is increased or decreased?
(i)
56
:
27
(ii)
56
:
25
(iii)
55
:
25
(iv)
56
:
23
Question
9
9.
The work done by (2x + 3) men in (2x + 2) days and work done by (x + 3) men in (6x + 3) days is in the ratio of 110 : 189 . Find the value of x
(i)
1
(ii)
4
(iii)
3
(iv)
5
(v)
7
Question
10
10.
A man reduces his weight in the ratio 18 : 11. What is his weight now, if originally he was 98 kg ?
(i)
548
9
kg
(ii)
60
kg
(iii)
541
9
kg
(iv)
557
9
kg
(v)
539
9
kg
Question
11
11.
A certain amount has been divided into two parts in the ratio 6 : 8. If the first part is 228, find the total amount.
(i)
533
(ii)
534
(iii)
529
(iv)
532
(v)
531
Question
12
12.
Two numbers are in the ratio 5 : 2 and their difference is 90. Find the numbers.
(i)
150,57
(ii)
149,60
(iii)
150,60
(iv)
151,60
(v)
150,62
Question
13
13.
Divide
₹9000
into three parts
such that the first one is
5
3
of the second
and ratio between second and the third is
3 : 2
(i)
₹
4500.00
:
₹
2700.00
:
₹
1800.00
(ii)
₹
4500.00
:
₹
2700.00
:
₹
2700.00
(iii)
₹
2700.00
:
₹
1800.00
:
₹
4500.00
(iv)
₹
4500.00
:
₹
1800.00
:
₹
2700.00
(v)
₹
1800.00
:
₹
4500.00
:
₹
2700.00
Question
14
14.
Increase
1045
in the ratio
19 : 25
(i)
1372
(ii)
1376
(iii)
1375
(iv)
1377
(v)
1374
Question
15
15.
Divide
₹128700
among A,B,C so that
A shall receive
45
98
of what B and C together recieve
and B may receive
63
80
of what A and C receive
(i)
₹
40500.00
:
₹
31500.00
:
₹
56700.00
(ii)
₹
40500.00
:
₹
56700.00
:
₹
31500.00
(iii)
₹
31500.00
:
₹
40500.00
:
₹
56700.00
(iv)
₹
40500.00
:
₹
56700.00
:
₹
56700.00
(v)
₹
56700.00
:
₹
31500.00
:
₹
40500.00
Question
16
16.
A bag contains ₹999 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 12 : 16 : 19. Find the number of coins of each type
(i)
106 , 149 , 171
(ii)
108 , 144 , 171
(iii)
109 , 149 , 166
(iv)
110 , 139 , 171
(v)
107 , 144 , 176
Question
17
17.
The sides of a triangle are in the ratio
1
4
:
1
2
:
1
6
and its perimeter is
132 cm
.
Find the lengths of the sides of the triangle
(i)
31
cm
:
72
cm
:
29
cm
(ii)
31
cm
:
77
cm
:
24
cm
(iii)
41
cm
:
67
cm
:
24
cm
(iv)
36
cm
:
72
cm
:
24
cm
(v)
41
cm
:
72
cm
:
19
cm
Question
18
18.
In an examination, the ratio of passes to failures was 8 : 7.
Had 250 less appeared and 10 less passed, the ratio of passes to failures would have been 31 : 4.
How many students appeared for the examination?
(i)
595
(ii)
610
(iii)
605
(iv)
600
(v)
590
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)
80
(ii)
90
(iii)
70
(iv)
110
(v)
100
Question
20
20.
What number must be added to each term of the ratio
120
:
190
to make it
25
:
32
?
(i)
129
(ii)
133
(iii)
127
(iv)
130
(v)
131
Question
21
21.
What quantity must be added
to each of the terms of the ratio
130
:
104
to make it
17
:
15
?
(i)
89
(ii)
90
(iii)
91
(iv)
92
(v)
93
Assignment Key
1) (i)
2) (v)
3) (iv)
4) (i)
5) (iii)
6) (v)
7) (iv)
8) (ii)
9) (ii)
10) (v)
11) (iv)
12) (iii)
13) (i)
14) (iii)
15) (ii)
16) (ii)
17) (iv)
18) (iv)
19) (ii)
20) (iv)
21) (iii)
