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 : 11. If 14 is added to each number, the ratio becomes 5 : 12. Find the numbers.
(i)
48
:
132
(ii)
64
:
176
(iii)
60
:
165
(iv)
52
:
143
(v)
56
:
154
Question
2
2.
The ratio of two numbers is
4
:
1
and their LCM is 28. Find the numbers.
(i)
36
:
9
(ii)
20
:
5
(iii)
28
:
7
(iv)
24
:
6
(v)
32
:
8
Question
3
3.
Find the number which bears the same ratio
to
5
6
that
2
3
does to
10
9
(i)
1
4
(ii)
3
2
(iii)
1
(iv)
1
2
(v)
(
-1
2
)
Question
4
4.
The ages of A and B are in the ratio 10 : 9. 5 years hence, their ages will be in the ratio 11 : 10. Find their present ages.
(i)
40
:
36
(ii)
50
:
45
(iii)
70
:
63
(iv)
30
:
27
Question
5
5.
The ages of A and B are in the ratio 7 : 10. 9 years ago, their ages were in the ratio 2 : 3. Find their present ages.
(i)
77
:
110
(ii)
56
:
80
(iii)
63
:
90
(iv)
49
:
70
Question
6
6.
In a mixture of
168
litres,
the ratio of milk and water is
9 : 5
.
How much water must be added
to this mixture to make the ratio
0 : 756
?
(i)
45
(ii)
48
(iii)
50
(iv)
49
(v)
47
Question
7
7.
The ratio of males to females in a committee of 323 members is 9 : 8. How many more ladies should be added to the committee so that the ratio of males to females is 171 : 202?
(i)
49
(ii)
47
(iii)
51
(iv)
50
(v)
52
Question
8
8.
An employer reduces the number of
employees in the ratio of
9 : 2
and increases their wages
in the ratio
1 : 2
.
In what ratio, the wage bill is increased or decreased?
(i)
9
:
7
(ii)
9
:
2
(iii)
9
:
4
(iv)
8
:
4
Question
9
9.
The work done by (6x + 1) men in (x + 1) days and work done by (3x + 2) men in (3x + 2) days is in the ratio of 125 : 196 . Find the value of x
(i)
6
(ii)
5
(iii)
1
(iv)
3
(v)
4
Question
10
10.
A man reduces his weight in the ratio 19 : 13. What is his weight now, if originally he was 71 kg ?
(i)
942
19
kg
(ii)
925
19
kg
(iii)
924
19
kg
(iv)
961
19
kg
(v)
923
19
kg
Question
11
11.
A certain amount has been divided into two parts in the ratio 9 : 2. If the first part is 288, find the total amount.
(i)
351
(ii)
349
(iii)
354
(iv)
352
(v)
353
Question
12
12.
Two numbers are in the ratio 7 : 2 and their difference is 150. Find the numbers.
(i)
211,60
(ii)
209,60
(iii)
210,62
(iv)
210,60
(v)
210,57
Question
13
13.
Divide
₹56700
into three parts
such that the first one is
5
8
of the second
and ratio between second and the third is
5 : 2
(i)
₹
17500.00
:
₹
28000.00
:
₹
28000.00
(ii)
₹
28000.00
:
₹
11200.00
:
₹
17500.00
(iii)
₹
17500.00
:
₹
11200.00
:
₹
28000.00
(iv)
₹
17500.00
:
₹
28000.00
:
₹
11200.00
(v)
₹
11200.00
:
₹
17500.00
:
₹
28000.00
Question
14
14.
Increase
80
in the ratio
2 : 11
(i)
439
(ii)
440
(iii)
442
(iv)
437
(v)
441
Question
15
15.
Divide
₹45500
among A,B,C so that
A shall receive
7
6
of what B and C together recieve
and B may receive
21
44
of what A and C receive
(i)
₹
14700.00
:
₹
6300.00
:
₹
24500.00
(ii)
₹
24500.00
:
₹
6300.00
:
₹
14700.00
(iii)
₹
24500.00
:
₹
14700.00
:
₹
14700.00
(iv)
₹
24500.00
:
₹
14700.00
:
₹
6300.00
(v)
₹
6300.00
:
₹
24500.00
:
₹
14700.00
Question
16
16.
A bag contains ₹2286 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 18 : 13 : 11. Find the number of coins of each type
(i)
325 , 239 , 193
(ii)
326 , 229 , 198
(iii)
323 , 234 , 203
(iv)
322 , 239 , 198
(v)
324 , 234 , 198
Question
17
17.
The sides of a triangle are in the ratio
1
5
:
1
4
:
1
8
and its perimeter is
437 cm
.
Find the lengths of the sides of the triangle
(i)
157
cm
:
185
cm
:
95
cm
(ii)
147
cm
:
190
cm
:
100
cm
(iii)
152
cm
:
190
cm
:
95
cm
(iv)
147
cm
:
195
cm
:
95
cm
(v)
157
cm
:
190
cm
:
90
cm
Question
18
18.
In an examination, the ratio of passes to failures was 3 : 1.
Had 20 less appeared and 15 less passed, the ratio of passes to failures would have been 3 : 1.
How many students appeared for the examination?
(i)
235
(ii)
230
(iii)
245
(iv)
240
(v)
250
Question
19
19.
In a company, the number of engineers to managers is in the ratio 6 : 1 . After a year, when 10 engineers and 20 managers left, the ratio between engineers to managers is 35 : 4 . Find the number of engineers and managers at the beginning?
(i)
440
(ii)
430
(iii)
400
(iv)
420
(v)
410
Question
20
20.
What number must be added to each term of the ratio
168
:
196
to make it
29
:
31
?
(i)
237
(ii)
239
(iii)
236
(iv)
241
(v)
238
Question
21
21.
What quantity must be added
to each of the terms of the ratio
30
:
60
to make it
2
:
3
?
(i)
32
(ii)
28
(iii)
31
(iv)
30
(v)
29
Assignment Key
1) (v)
2) (iii)
3) (iv)
4) (ii)
5) (iii)
6) (ii)
7) (iv)
8) (iii)
9) (v)
10) (v)
11) (iv)
12) (iv)
13) (iv)
14) (ii)
15) (iv)
16) (v)
17) (iii)
18) (iv)
19) (iv)
20) (v)
21) (iv)
