EduSahara™ Assignment
Name : Ratios - Word Problems
Chapter : Ratio - Applications
Grade : SSC Grade VII
License : Non Commercial Use
Question
1
1.
An office contains 1300 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 6 : 4 : 7 : 3. The number of team leaders in the office =
(i)
260
(ii)
261
(iii)
259
(iv)
263
(v)
258
Question
2
2.
An office contains 507 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 7 : 3 : 1 : 2. The number of developers in the office =
(i)
40
(ii)
39
(iii)
37
(iv)
41
(v)
38
Question
3
3.
An office contains 228 managers, 266 team leaders, 38 developers and 190 testers. The ratio of all employees in the office =
(i)
5
:
7
:
1
:
5
(ii)
7
:
7
:
1
:
5
(iii)
6
:
5
:
1
:
5
(iv)
6
:
10
:
1
:
5
(v)
6
:
7
:
1
:
5
Question
4
4.
An office contains 100 managers, 125 team leaders, 75 developers and 100 testers. The ratio of managers and team leaders =
(i)
4
:
5
(ii)
3
:
5
(iii)
5
:
5
(iv)
4
:
3
(v)
4
:
8
Question
5
5.
An office contains 120 managers, 60 team leaders, 120 developers and 360 testers. The ratio of managers and developers =
(i)
2
:
1
(ii)
0
:
1
(iii)
1
:
-2
(iv)
1
:
1
(v)
1
:
4
Question
6
6.
An office contains 98 managers, 147 team leaders, 245 developers and 147 testers. The ratio of managers to the total employees =
(i)
2
:
11
(ii)
1
:
13
(iii)
2
:
15
(iv)
3
:
13
(v)
2
:
13
Question
7
7.
An office contains 378 managers, 315 team leaders, 189 developers and 441 testers. The ratio of developers to the total employees =
(i)
1
:
7
(ii)
0
:
7
(iii)
1
:
10
(iv)
1
:
4
(v)
2
:
7
Question
8
8.
An office contains 700 employees of 4 types. There are 150 managers and 200 team leaders. The developers and testers are in the ratio 1 : 6. The number of developers in the office =
(i)
50
(ii)
47
(iii)
52
(iv)
49
(v)
51
Question
9
9.
An office contains 196 employees of 4 types. There are 42 managers and 56 team leaders. The developers and testers are in the ratio 3 : 4. The number of testers in the office =
(i)
59
(ii)
53
(iii)
57
(iv)
55
(v)
56
Question
10
10.
An office contains 330 employees of 4 types. There are 22 managers, 132 team leaders and 154 developers. The number of testers in the office =
(i)
24
(ii)
22
(iii)
21
(iv)
23
(v)
20
Question
11
11.
A box contains 732 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 7 : 4 : 1. The number of mangoes in the box =
(i)
427
(ii)
426
(iii)
430
(iv)
428
(v)
425
Question
12
12.
A box contains 363 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 7 : 3 : 1. The number of apples in the box =
(i)
102
(ii)
100
(iii)
99
(iv)
96
(v)
98
Question
13
13.
A box contains 990 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 7 : 6 : 5. The number of oranges in the box =
(i)
278
(ii)
276
(iii)
272
(iv)
274
(v)
275
Question
14
14.
A box contains 175 mangoes, 140 apples and 105 oranges. The ratio of all fruits in the box =
(i)
5
:
1
:
3
(ii)
4
:
4
:
3
(iii)
6
:
4
:
3
(iv)
5
:
4
:
3
(v)
5
:
7
:
3
Question
15
15.
A box contains 45 mangoes, 90 apples and 225 oranges. The ratio of mangoes and apples =
(i)
1
:
2
(ii)
2
:
2
(iii)
1
:
-1
(iv)
1
:
4
(v)
0
:
2
Question
16
16.
A box contains 245 mangoes, 49 apples and 98 oranges. The ratio of mangoes to the total fruits =
(i)
5
:
10
(ii)
6
:
8
(iii)
4
:
8
(iv)
5
:
8
(v)
5
:
6
Question
17
17.
A box contains 56 mangoes, 196 apples and 140 oranges. The ratio of apples to the total fruits =
(i)
2
:
2
(ii)
1
:
5
(iii)
1
:
2
(iv)
0
:
2
(v)
1
:
0
Question
18
18.
A box contains 306 fruits of 3 types. There are 102 mangoes and 153 apples. The number of oranges in the box =
(i)
52
(ii)
50
(iii)
51
(iv)
54
(v)
49
Question
19
19.
A box contains 414 stationary items of 2 types. The pens and pencils are in the ratio 3 : 6. The number of pens in the box =
(i)
140
(ii)
135
(iii)
138
(iv)
139
(v)
137
Question
20
20.
A box contains 185 stationary items of 2 types. The pens and pencils are in the ratio 1 : 4. The number of pencils in the box =
(i)
147
(ii)
148
(iii)
146
(iv)
151
(v)
149
Question
21
21.
A box contains 280 pens and 140 pencils. The ratio of all stationary items in the box =
(i)
5
:
2
(ii)
4
:
4
(iii)
3
:
2
(iv)
4
:
2
(v)
4
:
-1
Question
22
22.
A box contains 240 pens and 120 pencils. The ratio of pens to the total stationary items =
(i)
1
:
3
(ii)
2
:
0
(iii)
2
:
3
(iv)
3
:
3
(v)
2
:
6
Question
23
23.
A box contains 413 pens and 295 pencils. The ratio of pencils to the total stationary items =
(i)
4
:
12
(ii)
5
:
15
(iii)
6
:
12
(iv)
5
:
9
(v)
5
:
12
Question
24
24.
Find the number which bears the same ratio
to
1
4
that
7
9
does to
7
12
(i)
1
3
(ii)
1
4
(iii)
1
2
(iv)
2
3
(v)
0
Question
25
25.
The ages of A and B are in the ratio 8 : 5. 7 years hence, their ages will be in the ratio 3 : 2. Find their present ages.
(i)
56
:
35
(ii)
48
:
30
(iii)
40
:
25
(iv)
72
:
45
Question
26
26.
The ages of A and B are in the ratio 5 : 8. 10 years ago, their ages were in the ratio 4 : 7. Find their present ages.
(i)
45
:
72
(ii)
60
:
96
(iii)
40
:
64
(iv)
50
:
80
Question
27
27.
A certain amount has been divided into two parts in the ratio 3 : 4. If the first part is 90, find the total amount.
(i)
211
(ii)
207
(iii)
210
(iv)
213
(v)
209
Question
28
28.
A bag contains ₹1926 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 13 : 15 : 12. Find the number of coins of each type
(i)
236 , 265 , 216
(ii)
233 , 270 , 221
(iii)
232 , 275 , 216
(iv)
235 , 275 , 211
(v)
234 , 270 , 216
Question
29
29.
The sides of a triangle are in the ratio
1
9
:
1
7
:
1
8
and its perimeter is
2292 cm
.
Find the lengths of the sides of the triangle
(i)
677
cm
:
859
cm
:
756
cm
(ii)
672
cm
:
864
cm
:
756
cm
(iii)
677
cm
:
864
cm
:
751
cm
(iv)
667
cm
:
869
cm
:
756
cm
(v)
667
cm
:
864
cm
:
761
cm
Assignment Key
1) (i)
2) (ii)
3) (v)
4) (i)
5) (iv)
6) (v)
7) (i)
8) (i)
9) (v)
10) (ii)
11) (i)
12) (iii)
13) (v)
14) (iv)
15) (i)
16) (iv)
17) (iii)
18) (iii)
19) (iii)
20) (ii)
21) (iv)
22) (iii)
23) (v)
24) (i)
25) (i)
26) (iv)
27) (iii)
28) (v)
29) (ii)
