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 6 : 9. If 14 is added to each number, the ratio becomes 68 : 95. Find the numbers.
(i)
54
:
81
(ii)
42
:
63
(iii)
48
:
72
(iv)
60
:
90
(v)
66
:
99
Question
2
2.
The ratio of two numbers is
4
:
5
and their LCM is 220. Find the numbers.
(i)
36
:
45
(ii)
44
:
55
(iii)
48
:
60
(iv)
40
:
50
(v)
52
:
65
Question
3
3.
Find the number which bears the same ratio
to
1
3
that
4
8
does to
5
2
(i)
(
-1
15
)
(ii)
1
15
(iii)
1
13
(iv)
1
17
(v)
1
5
Question
4
4.
The ages of A and B are in the ratio 5 : 3. 5 years hence, their ages will be in the ratio 11 : 7. Find their present ages.
(i)
60
:
36
(ii)
45
:
27
(iii)
50
:
30
(iv)
40
:
24
Question
5
5.
The ages of A and B are in the ratio 9 : 7. 8 years ago, their ages were in the ratio 4 : 3. Find their present ages.
(i)
54
:
42
(ii)
72
:
56
(iii)
90
:
70
(iv)
63
:
49
Question
6
6.
In a mixture of
589
litres,
the ratio of milk and water is
12 : 19
.
How much water must be added
to this mixture to make the ratio
76 : 147
?
(i)
81
(ii)
80
(iii)
79
(iv)
82
(v)
77
Question
7
7.
The ratio of males to females in a committee of 66 members is 5 : 1. How many more ladies should be added to the committee so that the ratio of males to females is 55 : 81?
(i)
73
(ii)
68
(iii)
71
(iv)
70
(v)
69
Question
8
8.
An employer reduces the number of
employees in the ratio of
13 : 8
and increases their wages
in the ratio
15 : 20
.
In what ratio, the wage bill is increased or decreased?
(i)
39
:
32
(ii)
39
:
29
(iii)
38
:
32
(iv)
39
:
35
Question
9
9.
The work done by (5x + 2) men in (x + 1) days and work done by (x + 3) men in (4x + 2) days is in the ratio of 55 : 63 . Find the value of x
(i)
4
(ii)
1
(iii)
6
(iv)
3
(v)
5
Question
10
10.
A man reduces his weight in the ratio 18 : 13. What is his weight now, if originally he was 73 kg ?
(i)
985
18
kg
(ii)
317
6
kg
(iii)
967
18
kg
(iv)
949
18
kg
(v)
475
9
kg
Question
11
11.
A certain amount has been divided into two parts in the ratio 8 : 4. If the first part is 248, find the total amount.
(i)
369
(ii)
371
(iii)
372
(iv)
373
(v)
374
Question
12
12.
Two numbers are in the ratio 3 : 1 and their difference is 46. Find the numbers.
(i)
69,26
(ii)
68,23
(iii)
69,21
(iv)
69,23
(v)
70,23
Question
13
13.
Divide
₹57600
into three parts
such that the first one is
5
3
of the second
and ratio between second and the third is
3 : 4
(i)
₹
14400.00
:
₹
19200.00
:
₹
24000.00
(ii)
₹
24000.00
:
₹
19200.00
:
₹
14400.00
(iii)
₹
19200.00
:
₹
24000.00
:
₹
14400.00
(iv)
₹
24000.00
:
₹
14400.00
:
₹
14400.00
(v)
₹
24000.00
:
₹
14400.00
:
₹
19200.00
Question
14
14.
Increase
855
in the ratio
19 : 26
(i)
1168
(ii)
1169
(iii)
1172
(iv)
1170
(v)
1171
Question
15
15.
Divide
₹40800
among A,B,C so that
A shall receive
10
7
of what B and C together recieve
and B may receive
5
29
of what A and C receive
(i)
₹
10800.00
:
₹
24000.00
:
₹
6000.00
(ii)
₹
24000.00
:
₹
6000.00
:
₹
6000.00
(iii)
₹
6000.00
:
₹
10800.00
:
₹
24000.00
(iv)
₹
24000.00
:
₹
6000.00
:
₹
10800.00
(v)
₹
24000.00
:
₹
10800.00
:
₹
6000.00
Question
16
16.
A bag contains ₹896 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 9 : 5 : 9. Find the number of coins of each type
(i)
125 , 70 , 131
(ii)
126 , 70 , 126
(iii)
128 , 65 , 126
(iv)
127 , 75 , 121
(v)
124 , 75 , 126
Question
17
17.
The sides of a triangle are in the ratio
1
6
:
1
7
:
1
5
and its perimeter is
1819 cm
.
Find the lengths of the sides of the triangle
(i)
595
cm
:
510
cm
:
714
cm
(ii)
590
cm
:
515
cm
:
714
cm
(iii)
590
cm
:
510
cm
:
719
cm
(iv)
600
cm
:
510
cm
:
709
cm
(v)
600
cm
:
505
cm
:
714
cm
Question
18
18.
In an examination, the ratio of passes to failures was 6 : 5.
Had 135 less appeared and 15 less passed, the ratio of passes to failures would have been 81 : 46.
How many students appeared for the examination?
(i)
770
(ii)
765
(iii)
780
(iv)
760
(v)
775
Question
19
19.
In a company, the number of engineers to managers is in the ratio 4 : 1 . After a year, when 10 engineers and 20 managers left, the ratio between engineers to managers is 15 : 2 . Find the number of engineers and managers at the beginning?
(i)
180
(ii)
210
(iii)
190
(iv)
220
(v)
200
Question
20
20.
What number must be added to each term of the ratio
18
:
360
to make it
11
:
30
?
(i)
180
(ii)
179
(iii)
181
(iv)
183
(v)
177
Question
21
21.
What quantity must be added
to each of the terms of the ratio
80
:
90
to make it
13
:
14
?
(i)
50
(ii)
47
(iii)
49
(iv)
53
(v)
51
Assignment Key
1) (i)
2) (ii)
3) (ii)
4) (iii)
5) (ii)
6) (ii)
7) (iv)
8) (i)
9) (i)
10) (iv)
11) (iii)
12) (iv)
13) (v)
14) (iv)
15) (iv)
16) (ii)
17) (i)
18) (i)
19) (v)
20) (i)
21) (i)
