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
209
litres,
the ratio of milk and water is
5 : 6
.
How much water must be added
to this mixture to make the ratio
95 : 194
?
(i)
80
(ii)
79
(iii)
81
(iv)
77
(v)
83
Question
2
2.
The ratio of males to females in a committee of 272 members is 11 : 5. How many more ladies should be added to the committee so that the ratio of males to females is 187 : 133?
(i)
48
(ii)
50
(iii)
49
(iv)
46
(v)
47
Question
3
3.
An employer reduces the number of
employees in the ratio of
11 : 7
and increases their wages
in the ratio
10 : 17
.
In what ratio, the wage bill is increased or decreased?
(i)
110
:
117
(ii)
110
:
119
(iii)
110
:
122
(iv)
109
:
119
Question
4
4.
The work done by (3x + 1) men in (7x + 1) days and work done by (17x + 1) men in (x + 1) days is in the ratio of 1 : 1 . Find the value of x
(i)
2
(ii)
3
(iii)
1
(iv)
5
(v)
(-1)
Question
5
5.
A man reduces his weight in the ratio 17 : 13. What is his weight now, if originally he was 52 kg ?
(i)
677
17
kg
(ii)
678
17
kg
(iii)
710
17
kg
(iv)
693
17
kg
(v)
676
17
kg
Question
6
6.
A certain amount has been divided into two parts in the ratio 3 : 7. If the first part is 108, find the total amount.
(i)
360
(ii)
358
(iii)
359
(iv)
363
(v)
361
Question
7
7.
Divide
₹61200
into three parts
such that the first one is
4
9
of the second
and ratio between second and the third is
9 : 4
(i)
₹
14400.00
:
₹
14400.00
:
₹
32400.00
(ii)
₹
14400.00
:
₹
32400.00
:
₹
32400.00
(iii)
₹
14400.00
:
₹
32400.00
:
₹
14400.00
(iv)
₹
32400.00
:
₹
14400.00
:
₹
14400.00
Question
8
8.
Increase
558
in the ratio
18 : 21
(i)
653
(ii)
650
(iii)
648
(iv)
652
(v)
651
Question
9
9.
Divide
₹10600
among A,B,C so that
A shall receive
18
35
of what B and C together recieve
and B may receive
15
38
of what A and C receive
(i)
₹
4000.00
:
₹
3600.00
:
₹
3000.00
(ii)
₹
3600.00
:
₹
3000.00
:
₹
3000.00
(iii)
₹
3600.00
:
₹
3000.00
:
₹
4000.00
(iv)
₹
3600.00
:
₹
4000.00
:
₹
3000.00
(v)
₹
3000.00
:
₹
4000.00
:
₹
3600.00
Question
10
10.
A bag contains ₹2580 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 16 : 20 : 9. Find the number of coins of each type
(i)
320 , 400 , 180
(ii)
318 , 405 , 180
(iii)
319 , 400 , 185
(iv)
321 , 405 , 175
(v)
322 , 395 , 180
Question
11
11.
In an examination, the ratio of passes to failures was 9 : 4.
Had 175 less appeared and 20 less passed, the ratio of passes to failures would have been 140 : 33.
How many students appeared for the examination?
(i)
1045
(ii)
1050
(iii)
1040
(iv)
1035
(v)
1030
Question
12
12.
What number must be added to each term of the ratio
40
:
180
to make it
15
:
22
?
(i)
260
(ii)
259
(iii)
263
(iv)
261
(v)
257
Question
13
13.
A ratio is equal to 49 : 5. If its antecendent is 3675, what is its consequent?
(i)
376
(ii)
374
(iii)
375
(iv)
373
(v)
377
Question
14
14.
A ratio is equal to 2 : 25. If its consequent is 1750, what is its antecendent?
(i)
139
(ii)
137
(iii)
141
(iv)
140
(v)
142
Question
15
15.
Two numbers are in the ratio 3 : 8. If 18 is added to each number, the ratio becomes 21 : 46. Find the numbers.
(i)
45
:
120
(ii)
51
:
136
(iii)
42
:
112
(iv)
39
:
104
(v)
48
:
128
Question
16
16.
The ratio of two numbers is
4
:
1
and their LCM is 36. Find the numbers.
(i)
36
:
9
(ii)
44
:
11
(iii)
40
:
10
(iv)
32
:
8
(v)
28
:
7
Question
17
17.
If
5
A =
4
B =
9
C,
find A : B : C
(i)
36
:
42
:
20
(ii)
36
:
45
:
20
(iii)
36
:
48
:
20
(iv)
37
:
45
:
20
(v)
35
:
45
:
20
Question
18
18.
If
A
6
=
B
9
=
C
4
,
find A : B : C
(i)
6
:
9
:
4
(ii)
6
:
7
:
4
(iii)
6
:
12
:
4
(iv)
7
:
9
:
4
(v)
5
:
9
:
4
Question
19
19.
If
4
A =
3
B and
7
B =
5
C,
find A : C
(i)
15
:
28
(ii)
15
:
30
(iii)
16
:
28
(iv)
14
:
28
(v)
15
:
25
Question
20
20.
Divide 1323 in the ratio
1
8
:
5
9
(i)
242 , 1080
(ii)
243 , 1080
(iii)
243 , 1082
(iv)
243 , 1078
(v)
244 , 1080
Question
21
21.
Divide 1088 in the ratio
8
3
:
8
9
:
2
9
(i)
768 , 256 , 64
(ii)
768 , 254 , 64
(iii)
769 , 256 , 64
(iv)
768 , 258 , 64
(v)
767 , 256 , 64
Question
22
22.
Two numbers are in the ratio 8 : 3 and their difference is 105. Find the numbers.
(i)
168,61
(ii)
169,63
(iii)
168,63
(iv)
167,63
(v)
168,65
Question
23
23.
An office contains 832 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 4 : 6 : 1 : 5. The number of managers in the office =
(i)
209
(ii)
207
(iii)
208
(iv)
206
(v)
211
Question
24
24.
An office contains 37 managers, 222 team leaders, 148 developers and 222 testers. The ratio of all employees in the office =
(i)
1
:
6
:
4
:
6
(ii)
1
:
3
:
4
:
6
(iii)
0
:
6
:
4
:
6
(iv)
1
:
9
:
4
:
6
(v)
2
:
6
:
4
:
6
Question
25
25.
An office contains 118 managers, 177 team leaders, 236 developers and 295 testers. The ratio of managers and team leaders =
(i)
3
:
3
(ii)
2
:
3
(iii)
2
:
6
(iv)
2
:
1
(v)
1
:
3
Question
26
26.
An office contains 124 managers, 372 team leaders, 124 developers and 434 testers. The ratio of managers to the total employees =
(i)
1
:
17
(ii)
3
:
17
(iii)
2
:
17
(iv)
2
:
20
(v)
2
:
14
Question
27
27.
A box contains 90 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 3 : 2 : 4. The number of mangoes in the box =
(i)
29
(ii)
33
(iii)
30
(iv)
27
(v)
31
Question
28
28.
A box contains 38 mangoes, 19 apples and 114 oranges. The ratio of all fruits in the box =
(i)
3
:
1
:
6
(ii)
2
:
1
:
6
(iii)
2
:
-1
:
6
(iv)
2
:
3
:
6
(v)
1
:
1
:
6
Question
29
29.
A box contains 225 mangoes, 90 apples and 270 oranges. The ratio of mangoes and apples =
(i)
5
:
2
(ii)
5
:
5
(iii)
6
:
2
(iv)
4
:
2
(v)
5
:
0
Question
30
30.
A box contains 41 mangoes, 82 apples and 246 oranges. The ratio of mangoes to the total fruits =
(i)
1
:
9
(ii)
2
:
9
(iii)
1
:
11
(iv)
1
:
6
(v)
0
:
9
Question
31
31.
A box contains 93 pens and 124 pencils. The ratio of all stationary items in the box =
(i)
3
:
2
(ii)
3
:
6
(iii)
2
:
4
(iv)
4
:
4
(v)
3
:
4
Question
32
32.
A box contains 72 pens and 48 pencils. The ratio of pens to the total stationary items =
(i)
3
:
5
(ii)
3
:
2
(iii)
4
:
5
(iv)
2
:
5
(v)
3
:
8
Question
33
33.
A box contains 195 pens and 65 pencils. The ratio of pencils to the total stationary items =
(i)
2
:
4
(ii)
1
:
4
(iii)
1
:
1
(iv)
0
:
4
(v)
1
:
6
Assignment Key
1) (i)
2) (i)
3) (ii)
4) (i)
5) (v)
6) (i)
7) (iii)
8) (v)
9) (iii)
10) (i)
11) (iii)
12) (i)
13) (iii)
14) (iv)
15) (i)
16) (i)
17) (ii)
18) (i)
19) (i)
20) (ii)
21) (i)
22) (iii)
23) (iii)
24) (i)
25) (ii)
26) (iii)
27) (iii)
28) (ii)
29) (i)
30) (i)
31) (v)
32) (i)
33) (ii)