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 4 : 20. If 12 is added to each number, the ratio becomes 7 : 29. Find the numbers.
(i)
48
:
240
(ii)
40
:
200
(iii)
44
:
220
(iv)
52
:
260
(v)
36
:
180
Question
2
2.
The ratio of two numbers is
5
:
4
and their LCM is 180. Find the numbers.
(i)
40
:
32
(ii)
45
:
36
(iii)
50
:
40
(iv)
55
:
44
(v)
35
:
28
Question
3
3.
Find the number which bears the same ratio
to
5
7
that
1
7
does to
2
7
(i)
5
12
(ii)
3
14
(iii)
5
16
(iv)
1
2
(v)
5
14
Question
4
4.
The ages of A and B are in the ratio 8 : 5. 10 years hence, their ages will be in the ratio 3 : 2. Find their present ages.
(i)
64
:
40
(ii)
96
:
60
(iii)
72
:
45
(iv)
80
:
50
Question
5
5.
The ages of A and B are in the ratio 8 : 5. 6 years ago, their ages were in the ratio 7 : 4. Find their present ages.
(i)
48
:
30
(ii)
40
:
25
(iii)
64
:
40
(iv)
32
:
20
Question
6
6.
In a mixture of
364
litres,
the ratio of milk and water is
15 : 13
.
How much water must be added
to this mixture to make the ratio
65 : 73
?
(i)
51
(ii)
50
(iii)
53
(iv)
48
(v)
49
Question
7
7.
The ratio of males to females in a committee of 112 members is 5 : 2. How many more ladies should be added to the committee so that the ratio of males to females is 10 : 11?
(i)
56
(ii)
57
(iii)
55
(iv)
53
(v)
59
Question
8
8.
An employer reduces the number of
employees in the ratio of
13 : 3
and increases their wages
in the ratio
11 : 20
.
In what ratio, the wage bill is increased or decreased?
(i)
143
:
62
(ii)
143
:
60
(iii)
142
:
60
(iv)
143
:
57
Question
9
9.
The work done by (13x + 3) men in (2) days and work done by (4x + 3) men in (3x + 2) days is in the ratio of 55 : 133 . Find the value of x
(i)
7
(ii)
2
(iii)
5
(iv)
3
(v)
4
Question
10
10.
A man reduces his weight in the ratio 20 : 11. What is his weight now, if originally he was 62 kg ?
(i)
171
5
kg
(ii)
343
10
kg
(iii)
341
10
kg
(iv)
361
10
kg
(v)
351
10
kg
Question
11
11.
A certain amount has been divided into two parts in the ratio 8 : 6. If the first part is 168, find the total amount.
(i)
294
(ii)
293
(iii)
292
(iv)
295
(v)
297
Question
12
12.
Two numbers are in the ratio 9 : 4 and their difference is 145. Find the numbers.
(i)
261,114
(ii)
261,116
(iii)
261,118
(iv)
262,116
(v)
260,116
Question
13
13.
Divide
₹25500
into three parts
such that the first one is
4
5
of the second
and ratio between second and the third is
4 : 3
(i)
₹
8000.00
:
₹
10000.00
:
₹
7500.00
(ii)
₹
8000.00
:
₹
7500.00
:
₹
10000.00
(iii)
₹
7500.00
:
₹
8000.00
:
₹
10000.00
(iv)
₹
8000.00
:
₹
10000.00
:
₹
10000.00
(v)
₹
10000.00
:
₹
7500.00
:
₹
8000.00
Question
14
14.
Increase
220
in the ratio
5 : 8
(i)
353
(ii)
349
(iii)
355
(iv)
351
(v)
352
Question
15
15.
Divide
₹80100
among A,B,C so that
A shall receive
35
54
of what B and C together recieve
and B may receive
30
59
of what A and C receive
(i)
₹
31500.00
:
₹
21600.00
:
₹
27000.00
(ii)
₹
31500.00
:
₹
27000.00
:
₹
27000.00
(iii)
₹
27000.00
:
₹
21600.00
:
₹
31500.00
(iv)
₹
31500.00
:
₹
27000.00
:
₹
21600.00
(v)
₹
21600.00
:
₹
31500.00
:
₹
27000.00
Question
16
16.
A bag contains ₹900 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 4 : 8 : 9. Find the number of coins of each type
(i)
78 , 165 , 180
(ii)
81 , 165 , 175
(iii)
80 , 160 , 180
(iv)
79 , 160 , 185
(v)
82 , 155 , 180
Question
17
17.
The sides of a triangle are in the ratio
1
3
:
1
7
:
1
5
and its perimeter is
781 cm
.
Find the lengths of the sides of the triangle
(i)
390
cm
:
165
cm
:
226
cm
(ii)
390
cm
:
160
cm
:
231
cm
(iii)
380
cm
:
170
cm
:
231
cm
(iv)
385
cm
:
165
cm
:
231
cm
(v)
380
cm
:
165
cm
:
236
cm
Question
18
18.
In an examination, the ratio of passes to failures was 3 : 2.
Had 10 less appeared and 10 less passed, the ratio of passes to failures would have been 17 : 12.
How many students appeared for the examination?
(i)
290
(ii)
295
(iii)
310
(iv)
300
(v)
305
Question
19
19.
In a company, the number of engineers to managers is in the ratio 2 : 1 . After a year, when 20 engineers and 15 managers left, the ratio between engineers to managers is 32 : 15 . Find the number of engineers and managers at the beginning?
(i)
290
(ii)
270
(iii)
280
(iv)
250
(v)
260
Question
20
20.
What number must be added to each term of the ratio
20
:
60
to make it
11
:
13
?
(i)
202
(ii)
197
(iii)
200
(iv)
199
(v)
201
Question
21
21.
What quantity must be added
to each of the terms of the ratio
99
:
45
to make it
10
:
7
?
(i)
79
(ii)
80
(iii)
81
(iv)
83
(v)
82
Assignment Key
1) (iii)
2) (ii)
3) (v)
4) (iv)
5) (i)
6) (ii)
7) (i)
8) (ii)
9) (v)
10) (iii)
11) (i)
12) (ii)
13) (i)
14) (v)
15) (iv)
16) (iii)
17) (iv)
18) (iv)
19) (ii)
20) (iii)
21) (iii)
