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 5 : 15. If 14 is added to each number, the ratio becomes 69 : 179. Find the numbers.
(i)
65
:
195
(ii)
45
:
135
(iii)
50
:
150
(iv)
55
:
165
(v)
60
:
180
Question
2
2.
The ratio of two numbers is
1
:
2
and their LCM is 24. Find the numbers.
(i)
13
:
26
(ii)
10
:
20
(iii)
11
:
22
(iv)
14
:
28
(v)
12
:
24
Question
3
3.
Find the number which bears the same ratio
to
1
5
that
1
2
does to
9
70
(i)
1
(ii)
7
11
(iii)
7
9
(iv)
5
9
Question
4
4.
The ages of A and B are in the ratio 9 : 5. 10 years hence, their ages will be in the ratio 5 : 3. Find their present ages.
(i)
90
:
50
(ii)
72
:
40
(iii)
81
:
45
(iv)
108
:
60
Question
5
5.
The ages of A and B are in the ratio 4 : 5. 6 years ago, their ages were in the ratio 7 : 9. Find their present ages.
(i)
48
:
60
(ii)
44
:
55
(iii)
40
:
50
(iv)
56
:
70
Question
6
6.
In a mixture of
144
litres,
the ratio of milk and water is
5 : 4
.
How much water must be added
to this mixture to make the ratio
20 : 31
?
(i)
58
(ii)
59
(iii)
61
(iv)
60
(v)
62
Question
7
7.
The ratio of males to females in a committee of 528 members is 19 : 14. How many more ladies should be added to the committee so that the ratio of males to females is 76 : 65?
(i)
39
(ii)
36
(iii)
37
(iv)
35
(v)
34
Question
8
8.
An employer reduces the number of
employees in the ratio of
18 : 17
and increases their wages
in the ratio
5 : 15
.
In what ratio, the wage bill is increased or decreased?
(i)
5
:
17
(ii)
6
:
17
(iii)
6
:
15
(iv)
6
:
19
Question
9
9.
The work done by (7x) men in (5x) days and work done by (45x + 1) men in (x + 1) days is in the ratio of 20 : 39 . Find the value of x
(i)
5
(ii)
1
(iii)
2
(iv)
0
(v)
3
Question
10
10.
A man reduces his weight in the ratio 17 : 11. What is his weight now, if originally he was 94 kg ?
(i)
1036
17
kg
(ii)
1051
17
kg
(iii)
1034
17
kg
(iv)
1068
17
kg
(v)
1035
17
kg
Question
11
11.
A certain amount has been divided into two parts in the ratio 2 : 7. If the first part is 56, find the total amount.
(i)
251
(ii)
250
(iii)
253
(iv)
252
(v)
255
Question
12
12.
Two numbers are in the ratio 3 : 1 and their difference is 60. Find the numbers.
(i)
91,30
(ii)
90,27
(iii)
89,30
(iv)
90,30
(v)
90,32
Question
13
13.
Divide
₹54000
into three parts
such that the first one is
5
6
of the second
and ratio between second and the third is
6 : 7
(i)
₹
15000.00
:
₹
18000.00
:
₹
18000.00
(ii)
₹
15000.00
:
₹
18000.00
:
₹
21000.00
(iii)
₹
21000.00
:
₹
15000.00
:
₹
18000.00
(iv)
₹
18000.00
:
₹
21000.00
:
₹
15000.00
(v)
₹
15000.00
:
₹
21000.00
:
₹
18000.00
Question
14
14.
Increase
441
in the ratio
7 : 15
(i)
945
(ii)
943
(iii)
947
(iv)
944
(v)
946
Question
15
15.
Divide
₹105300
among A,B,C so that
A shall receive
7
32
of what B and C together recieve
and B may receive
56
61
of what A and C receive
(i)
₹
18900.00
:
₹
50400.00
:
₹
36000.00
(ii)
₹
18900.00
:
₹
50400.00
:
₹
50400.00
(iii)
₹
36000.00
:
₹
18900.00
:
₹
50400.00
(iv)
₹
50400.00
:
₹
36000.00
:
₹
18900.00
(v)
₹
18900.00
:
₹
36000.00
:
₹
50400.00
Question
16
16.
A bag contains ₹455 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 11 : 8 : 20. Find the number of coins of each type
(i)
57 , 35 , 100
(ii)
53 , 45 , 100
(iii)
55 , 40 , 100
(iv)
56 , 45 , 95
(v)
54 , 40 , 105
Question
17
17.
The sides of a triangle are in the ratio
1
8
:
1
2
:
1
3
and its perimeter is
322 cm
.
Find the lengths of the sides of the triangle
(i)
47
cm
:
168
cm
:
107
cm
(ii)
37
cm
:
168
cm
:
117
cm
(iii)
37
cm
:
173
cm
:
112
cm
(iv)
47
cm
:
163
cm
:
112
cm
(v)
42
cm
:
168
cm
:
112
cm
Question
18
18.
In an examination, the ratio of passes to failures was 3 : 2.
Had 60 less appeared and 20 less passed, the ratio of passes to failures would have been 2 : 1.
How many students appeared for the examination?
(i)
310
(ii)
305
(iii)
290
(iv)
300
(v)
295
Question
19
19.
In a company, the number of engineers to managers is in the ratio 7 : 4 . After a year, when 20 engineers and 10 managers left, the ratio between engineers to managers is 54 : 31 . Find the number of engineers and managers at the beginning?
(i)
900
(ii)
880
(iii)
870
(iv)
860
(v)
890
Question
20
20.
What number must be added to each term of the ratio
12
:
24
to make it
15
:
16
?
(i)
167
(ii)
169
(iii)
168
(iv)
170
(v)
165
Question
21
21.
What quantity must be added
to each of the terms of the ratio
120
:
75
to make it
20
:
17
?
(i)
178
(ii)
181
(iii)
180
(iv)
182
(v)
179
Assignment Key
1) (iv)
2) (v)
3) (iii)
4) (i)
5) (i)
6) (iv)
7) (ii)
8) (ii)
9) (iii)
10) (iii)
11) (iv)
12) (iv)
13) (ii)
14) (i)
15) (i)
16) (iii)
17) (v)
18) (iv)
19) (ii)
20) (iii)
21) (iii)
