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 : 4. If 18 is added to each number, the ratio becomes 13 : 25. Find the numbers.
(i)
8
:
32
(ii)
6
:
24
(iii)
7
:
28
(iv)
9
:
36
(v)
10
:
40
Question
2
2.
The ratio of two numbers is
3
:
2
and their LCM is 54. Find the numbers.
(i)
27
:
18
(ii)
21
:
14
(iii)
30
:
20
(iv)
33
:
22
(v)
24
:
16
Question
3
3.
Find the number which bears the same ratio
to
1
3
that
1
2
does to
5
6
(i)
1
5
(ii)
1
3
(iii)
1
7
(iv)
(
-1
5
)
(v)
3
5
Question
4
4.
The ages of A and B are in the ratio 9 : 7. 5 years hence, their ages will be in the ratio 5 : 4. Find their present ages.
(i)
63
:
49
(ii)
45
:
35
(iii)
27
:
21
(iv)
36
:
28
Question
5
5.
The ages of A and B are in the ratio 2 : 3. 5 years ago, their ages were in the ratio 5 : 8. Find their present ages.
(i)
28
:
42
(ii)
34
:
51
(iii)
30
:
45
(iv)
26
:
39
Question
6
6.
In a mixture of
480
litres,
the ratio of milk and water is
19 : 11
.
How much water must be added
to this mixture to make the ratio
76 : 59
?
(i)
58
(ii)
61
(iii)
60
(iv)
59
(v)
62
Question
7
7.
The ratio of males to females in a committee of 286 members is 9 : 17. How many more ladies should be added to the committee so that the ratio of males to females is 11 : 27?
(i)
54
(ii)
55
(iii)
59
(iv)
56
(v)
57
Question
8
8.
An employer reduces the number of
employees in the ratio of
8 : 7
and increases their wages
in the ratio
7 : 9
.
In what ratio, the wage bill is increased or decreased?
(i)
8
:
7
(ii)
7
:
9
(iii)
8
:
11
(iv)
8
:
9
Question
9
9.
The work done by (x + 1) men in (15x) days and work done by (9x + 1) men in (7x) days is in the ratio of 45 : 133 . Find the value of x
(i)
2
(ii)
(-1)
(iii)
4
(iv)
3
(v)
1
Question
10
10.
A man reduces his weight in the ratio 19 : 11. What is his weight now, if originally he was 72 kg ?
(i)
792
19
kg
(ii)
811
19
kg
(iii)
830
19
kg
(iv)
794
19
kg
(v)
793
19
kg
Question
11
11.
A certain amount has been divided into two parts in the ratio 8 : 4. If the first part is 160, find the total amount.
(i)
241
(ii)
238
(iii)
243
(iv)
239
(v)
240
Question
12
12.
Two numbers are in the ratio 5 : 4 and their difference is 24. Find the numbers.
(i)
120,98
(ii)
120,96
(iii)
121,96
(iv)
119,96
(v)
120,94
Question
13
13.
Divide
₹41600
into three parts
such that the first one is
3
4
of the second
and ratio between second and the third is
2 : 3
(i)
₹
9600.00
:
₹
19200.00
:
₹
12800.00
(ii)
₹
19200.00
:
₹
9600.00
:
₹
12800.00
(iii)
₹
12800.00
:
₹
19200.00
:
₹
9600.00
(iv)
₹
9600.00
:
₹
12800.00
:
₹
12800.00
(v)
₹
9600.00
:
₹
12800.00
:
₹
19200.00
Question
14
14.
Increase
1003
in the ratio
17 : 26
(i)
1533
(ii)
1534
(iii)
1535
(iv)
1531
(v)
1537
Question
15
15.
Divide
₹15000
among A,B,C so that
A shall receive
9
16
of what B and C together recieve
and B may receive
6
19
of what A and C receive
(i)
₹
3600.00
:
₹
6000.00
:
₹
5400.00
(ii)
₹
5400.00
:
₹
3600.00
:
₹
3600.00
(iii)
₹
5400.00
:
₹
3600.00
:
₹
6000.00
(iv)
₹
5400.00
:
₹
6000.00
:
₹
3600.00
(v)
₹
6000.00
:
₹
5400.00
:
₹
3600.00
Question
16
16.
A bag contains ₹1235 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 6 : 15 : 5. Find the number of coins of each type
(i)
115 , 290 , 90
(ii)
114 , 285 , 95
(iii)
113 , 285 , 100
(iv)
112 , 290 , 95
(v)
116 , 280 , 95
Question
17
17.
The sides of a triangle are in the ratio
1
6
:
1
7
:
1
8
and its perimeter is
1460 cm
.
Find the lengths of the sides of the triangle
(i)
555
cm
:
485
cm
:
420
cm
(ii)
565
cm
:
475
cm
:
420
cm
(iii)
555
cm
:
480
cm
:
425
cm
(iv)
560
cm
:
480
cm
:
420
cm
(v)
565
cm
:
480
cm
:
415
cm
Question
18
18.
In an examination, the ratio of passes to failures was 2 : 1.
Had 40 less appeared and 20 less passed, the ratio of passes to failures would have been 16 : 7.
How many students appeared for the examination?
(i)
275
(ii)
270
(iii)
280
(iv)
260
(v)
265
Question
19
19.
In a company, the number of engineers to managers is in the ratio 7 : 5 . After a year, when 15 engineers and 20 managers left, the ratio between engineers to managers is 81 : 56 . Find the number of engineers and managers at the beginning?
(i)
730
(ii)
740
(iii)
720
(iv)
700
(v)
710
Question
20
20.
What number must be added to each term of the ratio
72
:
234
to make it
17
:
26
?
(i)
237
(ii)
234
(iii)
233
(iv)
235
(v)
232
Question
21
21.
What quantity must be added
to each of the terms of the ratio
150
:
75
to make it
16
:
11
?
(i)
92
(ii)
91
(iii)
90
(iv)
87
(v)
89
Assignment Key
1) (i)
2) (i)
3) (i)
4) (ii)
5) (iii)
6) (iii)
7) (iv)
8) (iv)
9) (i)
10) (i)
11) (v)
12) (ii)
13) (v)
14) (ii)
15) (iii)
16) (ii)
17) (iv)
18) (ii)
19) (iii)
20) (ii)
21) (iii)
