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 1 : 9. If 16 is added to each number, the ratio becomes 29 : 133. Find the numbers.
(i)
12
:
108
(ii)
13
:
117
(iii)
14
:
126
(iv)
15
:
135
(v)
11
:
99
Question
2
2.
The ratio of two numbers is
2
:
4
and their LCM is 48. Find the numbers.
(i)
26
:
52
(ii)
20
:
40
(iii)
22
:
44
(iv)
24
:
48
(v)
28
:
56
Question
3
3.
Find the number which bears the same ratio
to
1
2
that
2
3
does to
1
2
(i)
0
(ii)
2
3
(iii)
2
5
(iv)
2
(v)
4
3
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)
28
:
32
(ii)
35
:
40
(iii)
56
:
64
(iv)
42
:
48
Question
5
5.
The ages of A and B are in the ratio 8 : 7. 6 years ago, their ages were in the ratio 7 : 6. Find their present ages.
(i)
40
:
35
(ii)
48
:
42
(iii)
64
:
56
(iv)
32
:
28
Question
6
6.
In a mixture of
133
litres,
the ratio of milk and water is
4 : 3
.
How much water must be added
to this mixture to make the ratio
76 : 157
?
(i)
100
(ii)
103
(iii)
99
(iv)
101
(v)
98
Question
7
7.
The ratio of males to females in a committee of 126 members is 2 : 5. How many more ladies should be added to the committee so that the ratio of males to females is 18 : 65?
(i)
43
(ii)
38
(iii)
40
(iv)
39
(v)
41
Question
8
8.
An employer reduces the number of
employees in the ratio of
20 : 9
and increases their wages
in the ratio
16 : 20
.
In what ratio, the wage bill is increased or decreased?
(i)
16
:
9
(ii)
16
:
12
(iii)
16
:
7
(iv)
15
:
9
Question
9
9.
The work done by (17x + 1) men in (x) days and work done by (x + 1) men in (45x + 1) days is in the ratio of 10 : 39 . Find the value of x
(i)
2
(ii)
3
(iii)
4
(iv)
1
(v)
0
Question
10
10.
A man reduces his weight in the ratio 18 : 13. What is his weight now, if originally he was 77 kg ?
(i)
1003
18
kg
(ii)
1019
18
kg
(iii)
167
3
kg
(iv)
1037
18
kg
(v)
1001
18
kg
Question
11
11.
A certain amount has been divided into two parts in the ratio 7 : 9. If the first part is 154, find the total amount.
(i)
349
(ii)
351
(iii)
355
(iv)
352
(v)
353
Question
12
12.
Two numbers are in the ratio 9 : 4 and their difference is 125. Find the numbers.
(i)
226,100
(ii)
225,97
(iii)
225,103
(iv)
224,100
(v)
225,100
Question
13
13.
Divide
₹90900
into three parts
such that the first one is
9
4
of the second
and ratio between second and the third is
5 : 9
(i)
₹
40500.00
:
₹
18000.00
:
₹
18000.00
(ii)
₹
40500.00
:
₹
18000.00
:
₹
32400.00
(iii)
₹
32400.00
:
₹
40500.00
:
₹
18000.00
(iv)
₹
18000.00
:
₹
32400.00
:
₹
40500.00
(v)
₹
40500.00
:
₹
32400.00
:
₹
18000.00
Question
14
14.
Increase
224
in the ratio
4 : 10
(i)
562
(ii)
557
(iii)
560
(iv)
561
(v)
559
Question
15
15.
Divide
₹30400
among A,B,C so that
A shall receive
27
11
of what B and C together recieve
and B may receive
9
29
of what A and C receive
(i)
₹
21600.00
:
₹
7200.00
:
₹
7200.00
(ii)
₹
21600.00
:
₹
1600.00
:
₹
7200.00
(iii)
₹
7200.00
:
₹
1600.00
:
₹
21600.00
(iv)
₹
21600.00
:
₹
7200.00
:
₹
1600.00
(v)
₹
1600.00
:
₹
21600.00
:
₹
7200.00
Question
16
16.
A bag contains ₹889 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 17 : 11 : 20. Find the number of coins of each type
(i)
118 , 77 , 145
(ii)
117 , 82 , 140
(iii)
119 , 77 , 140
(iv)
121 , 72 , 140
(v)
120 , 82 , 135
Question
17
17.
The sides of a triangle are in the ratio
1
6
:
1
9
:
1
3
and its perimeter is
187 cm
.
Find the lengths of the sides of the triangle
(i)
46
cm
:
39
cm
:
102
cm
(ii)
51
cm
:
34
cm
:
102
cm
(iii)
56
cm
:
34
cm
:
97
cm
(iv)
56
cm
:
29
cm
:
102
cm
(v)
46
cm
:
34
cm
:
107
cm
Question
18
18.
In an examination, the ratio of passes to failures was 5 : 3.
Had 70 less appeared and 15 less passed, the ratio of passes to failures would have been 87 : 43.
How many students appeared for the examination?
(i)
710
(ii)
720
(iii)
730
(iv)
715
(v)
725
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 10 managers left, the ratio between engineers to managers is 5 : 1 . Find the number of engineers and managers at the beginning?
(i)
210
(ii)
220
(iii)
190
(iv)
200
(v)
180
Question
20
20.
What number must be added to each term of the ratio
48
:
64
to make it
18
:
19
?
(i)
241
(ii)
238
(iii)
240
(iv)
239
(v)
243
Question
21
21.
What quantity must be added
to each of the terms of the ratio
90
:
120
to make it
9
:
10
?
(i)
180
(ii)
183
(iii)
179
(iv)
178
(v)
181
Assignment Key
1) (ii)
2) (iv)
3) (ii)
4) (iv)
5) (ii)
6) (i)
7) (iii)
8) (i)
9) (i)
10) (v)
11) (iv)
12) (v)
13) (ii)
14) (iii)
15) (iv)
16) (iii)
17) (ii)
18) (ii)
19) (iv)
20) (iii)
21) (i)
