EduSahara™ Assignment
Name : Ratios - Word Problems
Chapter : Ratio - Applications
Grade : SSC Grade VII
License : Non Commercial Use
Question
1
1.
An office contains 1020 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 7 : 2 : 4 : 2. The number of team leaders in the office =
(i)
137
(ii)
133
(iii)
139
(iv)
135
(v)
136
Question
2
2.
An office contains 378 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 1 : 3 : 1 : 2. The number of developers in the office =
(i)
54
(ii)
53
(iii)
57
(iv)
52
(v)
55
Question
3
3.
An office contains 212 managers, 53 team leaders, 106 developers and 318 testers. The ratio of all employees in the office =
(i)
4
:
4
:
2
:
6
(ii)
5
:
1
:
2
:
6
(iii)
4
:
-2
:
2
:
6
(iv)
3
:
1
:
2
:
6
(v)
4
:
1
:
2
:
6
Question
4
4.
An office contains 232 managers, 348 team leaders, 174 developers and 58 testers. The ratio of managers and team leaders =
(i)
2
:
6
(ii)
2
:
3
(iii)
1
:
3
(iv)
3
:
3
(v)
2
:
0
Question
5
5.
An office contains 123 managers, 246 team leaders, 41 developers and 287 testers. The ratio of managers and developers =
(i)
2
:
1
(ii)
3
:
1
(iii)
3
:
4
(iv)
4
:
1
(v)
3
:
-2
Question
6
6.
An office contains 162 managers, 189 team leaders, 135 developers and 189 testers. The ratio of managers to the total employees =
(i)
6
:
23
(ii)
6
:
27
(iii)
6
:
25
(iv)
7
:
25
(v)
5
:
25
Question
7
7.
An office contains 54 managers, 378 team leaders, 324 developers and 162 testers. The ratio of developers to the total employees =
(i)
5
:
17
(ii)
6
:
19
(iii)
7
:
17
(iv)
6
:
17
(v)
6
:
14
Question
8
8.
An office contains 200 employees of 4 types. There are 50 managers and 70 team leaders. The developers and testers are in the ratio 1 : 3. The number of developers in the office =
(i)
20
(ii)
19
(iii)
17
(iv)
21
(v)
23
Question
9
9.
An office contains 1054 employees of 4 types. There are 248 managers and 372 team leaders. The developers and testers are in the ratio 5 : 2. The number of testers in the office =
(i)
123
(ii)
126
(iii)
124
(iv)
125
(v)
122
Question
10
10.
An office contains 480 employees of 4 types. There are 40 managers, 240 team leaders and 120 developers. The number of testers in the office =
(i)
80
(ii)
81
(iii)
77
(iv)
82
(v)
79
Question
11
11.
A box contains 434 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 1 : 7 : 6. The number of mangoes in the box =
(i)
30
(ii)
32
(iii)
29
(iv)
31
(v)
34
Question
12
12.
A box contains 252 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 3 : 4 : 2. The number of apples in the box =
(i)
111
(ii)
113
(iii)
109
(iv)
112
(v)
115
Question
13
13.
A box contains 812 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 6 : 3 : 5. The number of oranges in the box =
(i)
292
(ii)
290
(iii)
289
(iv)
291
(v)
287
Question
14
14.
A box contains 124 mangoes, 217 apples and 93 oranges. The ratio of all fruits in the box =
(i)
4
:
5
:
3
(ii)
5
:
7
:
3
(iii)
4
:
10
:
3
(iv)
3
:
7
:
3
(v)
4
:
7
:
3
Question
15
15.
A box contains 72 mangoes, 144 apples and 108 oranges. The ratio of mangoes and apples =
(i)
0
:
2
(ii)
1
:
2
(iii)
1
:
-1
(iv)
2
:
2
(v)
1
:
5
Question
16
16.
A box contains 174 mangoes, 203 apples and 87 oranges. The ratio of mangoes to the total fruits =
(i)
3
:
10
(ii)
4
:
8
(iii)
2
:
8
(iv)
3
:
5
(v)
3
:
8
Question
17
17.
A box contains 150 mangoes, 175 apples and 100 oranges. The ratio of apples to the total fruits =
(i)
7
:
17
(ii)
6
:
17
(iii)
7
:
19
(iv)
8
:
17
(v)
7
:
14
Question
18
18.
A box contains 860 fruits of 3 types. There are 301 mangoes and 258 apples. The number of oranges in the box =
(i)
299
(ii)
301
(iii)
300
(iv)
303
(v)
302
Question
19
19.
A box contains 392 stationary items of 2 types. The pens and pencils are in the ratio 1 : 7. The number of pens in the box =
(i)
50
(ii)
51
(iii)
49
(iv)
46
(v)
48
Question
20
20.
A box contains 448 stationary items of 2 types. The pens and pencils are in the ratio 7 : 1. The number of pencils in the box =
(i)
57
(ii)
55
(iii)
58
(iv)
56
(v)
54
Question
21
21.
A box contains 340 pens and 476 pencils. The ratio of all stationary items in the box =
(i)
5
:
7
(ii)
6
:
7
(iii)
5
:
10
(iv)
5
:
4
(v)
4
:
7
Question
22
22.
A box contains 192 pens and 96 pencils. The ratio of pens to the total stationary items =
(i)
2
:
5
(ii)
3
:
3
(iii)
2
:
0
(iv)
1
:
3
(v)
2
:
3
Question
23
23.
A box contains 140 pens and 168 pencils. The ratio of pencils to the total stationary items =
(i)
7
:
11
(ii)
6
:
11
(iii)
6
:
13
(iv)
5
:
11
(v)
6
:
8
Question
24
24.
Find the number which bears the same ratio
to
3
4
that
1
4
does to
5
16
(i)
3
7
(ii)
3
5
(iii)
1
(iv)
1
5
Question
25
25.
The ages of A and B are in the ratio 4 : 5. 6 years hence, their ages will be in the ratio 9 : 11. Find their present ages.
(i)
48
:
60
(ii)
56
:
70
(iii)
40
:
50
(iv)
44
:
55
Question
26
26.
The ages of A and B are in the ratio 5 : 3. 7 years ago, their ages were in the ratio 9 : 5. Find their present ages.
(i)
80
:
48
(ii)
70
:
42
(iii)
65
:
39
(iv)
60
:
36
Question
27
27.
A certain amount has been divided into two parts in the ratio 8 : 9. If the first part is 312, find the total amount.
(i)
664
(ii)
661
(iii)
663
(iv)
662
(v)
665
Question
28
28.
A bag contains ₹1406 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 9 : 7 : 15. Find the number of coins of each type
(i)
172 , 138 , 280
(ii)
169 , 138 , 285
(iii)
173 , 128 , 285
(iv)
170 , 133 , 290
(v)
171 , 133 , 285
Question
29
29.
The sides of a triangle are in the ratio
1
3
:
1
9
:
1
7
and its perimeter is
703 cm
.
Find the lengths of the sides of the triangle
(i)
404
cm
:
128
cm
:
171
cm
(ii)
394
cm
:
133
cm
:
176
cm
(iii)
404
cm
:
133
cm
:
166
cm
(iv)
399
cm
:
133
cm
:
171
cm
(v)
394
cm
:
138
cm
:
171
cm
Assignment Key
1) (v)
2) (i)
3) (v)
4) (ii)
5) (ii)
6) (iii)
7) (iv)
8) (i)
9) (iii)
10) (i)
11) (iv)
12) (iv)
13) (ii)
14) (v)
15) (ii)
16) (v)
17) (i)
18) (ii)
19) (iii)
20) (iv)
21) (i)
22) (v)
23) (ii)
24) (ii)
25) (i)
26) (ii)
27) (iii)
28) (v)
29) (iv)
