EduSahara™ Assignment
Name : Word Problems on Ratios
Chapter : Ratio and Proportion
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
In a mixture of
504
litres,
the ratio of milk and water is
13 : 15
.
How much water must be added
to this mixture to make the ratio
13 : 17
?
(i)
39
(ii)
36
(iii)
37
(iv)
34
(v)
35
Question
2
2.
The ratio of males to females in a committee of 525 members is 17 : 18. How many more ladies should be added to the committee so that the ratio of males to females is 17 : 20?
(i)
29
(ii)
31
(iii)
28
(iv)
30
(v)
32
Question
3
3.
An employer reduces the number of
employees in the ratio of
11 : 10
and increases their wages
in the ratio
4 : 18
.
In what ratio, the wage bill is increased or decreased?
(i)
10
:
45
(ii)
11
:
42
(iii)
11
:
48
(iv)
11
:
45
Question
4
4.
The work done by (2x + 1) men in (12x + 1) days and work done by (17x + 1) men in (3x + 1) days is in the ratio of 25 : 49 . Find the value of x
(i)
5
(ii)
0
(iii)
1
(iv)
3
(v)
2
Question
5
5.
A man reduces his weight in the ratio 15 : 10. What is his weight now, if originally he was 66 kg ?
(i)
45
kg
(ii)
46
kg
(iii)
42
kg
(iv)
44
kg
(v)
43
kg
Question
6
6.
A certain amount has been divided into two parts in the ratio 6 : 2. If the first part is 126, find the total amount.
(i)
165
(ii)
171
(iii)
167
(iv)
169
(v)
168
Question
7
7.
Divide
₹76000
into three parts
such that the first one is
6
7
of the second
and ratio between second and the third is
3 : 8
(i)
₹
44800.00
:
₹
14400.00
:
₹
16800.00
(ii)
₹
14400.00
:
₹
16800.00
:
₹
16800.00
(iii)
₹
16800.00
:
₹
44800.00
:
₹
14400.00
(iv)
₹
14400.00
:
₹
44800.00
:
₹
16800.00
(v)
₹
14400.00
:
₹
16800.00
:
₹
44800.00
Question
8
8.
Increase
264
in the ratio
6 : 15
(i)
661
(ii)
657
(iii)
659
(iv)
662
(v)
660
Question
9
9.
Divide
₹22800
among A,B,C so that
A shall receive
12
7
of what B and C together recieve
and B may receive
3
16
of what A and C receive
(i)
₹
3600.00
:
₹
4800.00
:
₹
14400.00
(ii)
₹
14400.00
:
₹
4800.00
:
₹
3600.00
(iii)
₹
4800.00
:
₹
14400.00
:
₹
3600.00
(iv)
₹
14400.00
:
₹
3600.00
:
₹
3600.00
(v)
₹
14400.00
:
₹
3600.00
:
₹
4800.00
Question
10
10.
A bag contains ₹1904 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 13 : 19 : 9. Find the number of coins of each type
(i)
220 , 323 , 158
(ii)
219 , 328 , 153
(iii)
221 , 323 , 153
(iv)
222 , 328 , 148
(v)
223 , 318 , 153
Question
11
11.
In an examination, the ratio of passes to failures was 5 : 2.
Had 25 less appeared and 15 less passed, the ratio of passes to failures would have been 17 : 6.
How many students appeared for the examination?
(i)
130
(ii)
145
(iii)
135
(iv)
150
(v)
140
Question
12
12.
What number must be added to each term of the ratio
210
:
238
to make it
27
:
29
?
(i)
170
(ii)
167
(iii)
169
(iv)
168
(v)
166
Question
13
13.
A ratio is equal to 28 : 5. If its antecendent is 8736, what is its consequent?
(i)
1562
(ii)
1559
(iii)
1560
(iv)
1561
(v)
1558
Question
14
14.
A ratio is equal to 42 : 5. If its consequent is 375, what is its antecendent?
(i)
3149
(ii)
3151
(iii)
3152
(iv)
3150
(v)
3147
Question
15
15.
Two numbers are in the ratio 4 : 15. If 10 is added to each number, the ratio becomes 3 : 10. Find the numbers.
(i)
48
:
180
(ii)
56
:
210
(iii)
52
:
195
(iv)
64
:
240
(v)
60
:
225
Question
16
16.
The ratio of two numbers is
4
:
2
and their LCM is 48. Find the numbers.
(i)
44
:
22
(ii)
48
:
24
(iii)
56
:
28
(iv)
40
:
20
(v)
52
:
26
Question
17
17.
If
5
A =
3
B =
9
C,
find A : B : C
(i)
9
:
15
:
5
(ii)
9
:
12
:
5
(iii)
9
:
18
:
5
(iv)
8
:
15
:
5
(v)
10
:
15
:
5
Question
18
18.
If
A
4
=
B
3
=
C
9
,
find A : B : C
(i)
4
:
0
:
9
(ii)
5
:
3
:
9
(iii)
4
:
5
:
9
(iv)
4
:
3
:
9
(v)
3
:
3
:
9
Question
19
19.
If
6
A =
7
B and
5
B =
2
C,
find A : C
(i)
8
:
15
(ii)
7
:
15
(iii)
6
:
15
(iv)
7
:
17
(v)
7
:
13
Question
20
20.
Divide 424 in the ratio
5
6
:
1
2
(i)
265 , 156
(ii)
266 , 159
(iii)
264 , 159
(iv)
265 , 162
(v)
265 , 159
Question
21
21.
Divide 2490 in the ratio
1
2
:
5
4
:
5
9
(i)
540 , 1350 , 600
(ii)
540 , 1348 , 600
(iii)
541 , 1350 , 600
(iv)
540 , 1352 , 600
(v)
539 , 1350 , 600
Question
22
22.
Two numbers are in the ratio 5 : 4 and their difference is 21. Find the numbers.
(i)
105,87
(ii)
104,84
(iii)
105,82
(iv)
105,84
(v)
106,84
Question
23
23.
An office contains 885 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 1 : 2 : 7 : 5. The number of managers in the office =
(i)
59
(ii)
61
(iii)
60
(iv)
58
(v)
56
Question
24
24.
An office contains 198 managers, 132 team leaders, 66 developers and 330 testers. The ratio of all employees in the office =
(i)
3
:
-1
:
1
:
5
(ii)
4
:
2
:
1
:
5
(iii)
3
:
5
:
1
:
5
(iv)
2
:
2
:
1
:
5
(v)
3
:
2
:
1
:
5
Question
25
25.
An office contains 52 managers, 39 team leaders, 91 developers and 52 testers. The ratio of managers and team leaders =
(i)
4
:
0
(ii)
3
:
3
(iii)
5
:
3
(iv)
4
:
3
(v)
4
:
5
Question
26
26.
An office contains 116 managers, 203 team leaders, 145 developers and 116 testers. The ratio of managers to the total employees =
(i)
1
:
2
(ii)
2
:
5
(iii)
1
:
5
(iv)
1
:
8
(v)
0
:
5
Question
27
27.
A box contains 377 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 4 : 7 : 2. The number of mangoes in the box =
(i)
115
(ii)
114
(iii)
116
(iv)
117
(v)
119
Question
28
28.
A box contains 161 mangoes, 92 apples and 69 oranges. The ratio of all fruits in the box =
(i)
8
:
4
:
3
(ii)
6
:
4
:
3
(iii)
7
:
6
:
3
(iv)
7
:
4
:
3
(v)
7
:
1
:
3
Question
29
29.
A box contains 188 mangoes, 235 apples and 141 oranges. The ratio of mangoes and apples =
(i)
3
:
5
(ii)
4
:
5
(iii)
4
:
8
(iv)
4
:
2
(v)
5
:
5
Question
30
30.
A box contains 200 mangoes, 280 apples and 240 oranges. The ratio of mangoes to the total fruits =
(i)
5
:
18
(ii)
4
:
18
(iii)
5
:
15
(iv)
6
:
18
(v)
5
:
20
Question
31
31.
A box contains 49 pens and 98 pencils. The ratio of all stationary items in the box =
(i)
1
:
-1
(ii)
1
:
2
(iii)
0
:
2
(iv)
1
:
5
(v)
2
:
2
Question
32
32.
A box contains 70 pens and 175 pencils. The ratio of pens to the total stationary items =
(i)
2
:
7
(ii)
1
:
7
(iii)
3
:
7
(iv)
2
:
4
(v)
2
:
9
Question
33
33.
A box contains 222 pens and 148 pencils. The ratio of pencils to the total stationary items =
(i)
1
:
5
(ii)
3
:
5
(iii)
2
:
2
(iv)
2
:
7
(v)
2
:
5
Assignment Key
1) (ii)
2) (iv)
3) (iv)
4) (v)
5) (iv)
6) (v)
7) (v)
8) (v)
9) (v)
10) (iii)
11) (v)
12) (iv)
13) (iii)
14) (iv)
15) (ii)
16) (ii)
17) (i)
18) (iv)
19) (ii)
20) (v)
21) (i)
22) (iv)
23) (i)
24) (v)
25) (iv)
26) (iii)
27) (iii)
28) (iv)
29) (ii)
30) (i)
31) (ii)
32) (i)
33) (v)