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
120
litres,
the ratio of milk and water is
7 : 3
.
How much water must be added
to this mixture to make the ratio
0 : 420
?
(i)
45
(ii)
49
(iii)
47
(iv)
50
(v)
48
Question
2
2.
The ratio of males to females in a committee of 165 members is 4 : 7. How many more ladies should be added to the committee so that the ratio of males to females is 20 : 53?
(i)
53
(ii)
52
(iii)
57
(iv)
54
(v)
55
Question
3
3.
An employer reduces the number of
employees in the ratio of
7 : 3
and increases their wages
in the ratio
2 : 13
.
In what ratio, the wage bill is increased or decreased?
(i)
14
:
41
(ii)
14
:
37
(iii)
14
:
39
(iv)
13
:
39
Question
4
4.
The work done by (12x + 1) men in (2x) days and work done by (5x) men in (7x) days is in the ratio of 5 : 7 . Find the value of x
(i)
2
(ii)
5
(iii)
1
(iv)
(-1)
(v)
3
Question
5
5.
A man reduces his weight in the ratio 16 : 13. What is his weight now, if originally he was 65 kg ?
(i)
423
8
kg
(ii)
847
16
kg
(iii)
877
16
kg
(iv)
845
16
kg
(v)
861
16
kg
Question
6
6.
A certain amount has been divided into two parts in the ratio 7 : 6. If the first part is 259, find the total amount.
(i)
483
(ii)
479
(iii)
481
(iv)
480
(v)
482
Question
7
7.
Divide
₹33600
into three parts
such that the first one is
1
2
of the second
and ratio between second and the third is
1 : 2
(i)
₹
9600.00
:
₹
19200.00
:
₹
4800.00
(ii)
₹
19200.00
:
₹
4800.00
:
₹
9600.00
(iii)
₹
4800.00
:
₹
19200.00
:
₹
9600.00
(iv)
₹
4800.00
:
₹
9600.00
:
₹
19200.00
(v)
₹
4800.00
:
₹
9600.00
:
₹
9600.00
Question
8
8.
Increase
540
in the ratio
9 : 15
(i)
899
(ii)
902
(iii)
897
(iv)
901
(v)
900
Question
9
9.
Divide
₹45600
among A,B,C so that
A shall receive
4
15
of what B and C together recieve
and B may receive
8
11
of what A and C receive
(i)
₹
19200.00
:
₹
16800.00
:
₹
9600.00
(ii)
₹
9600.00
:
₹
19200.00
:
₹
16800.00
(iii)
₹
9600.00
:
₹
19200.00
:
₹
19200.00
(iv)
₹
9600.00
:
₹
16800.00
:
₹
19200.00
(v)
₹
16800.00
:
₹
9600.00
:
₹
19200.00
Question
10
10.
A bag contains ₹1300 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 15 : 7 : 11. Find the number of coins of each type
(i)
193 , 96 , 143
(ii)
197 , 86 , 143
(iii)
195 , 91 , 143
(iv)
196 , 96 , 138
(v)
194 , 91 , 148
Question
11
11.
In an examination, the ratio of passes to failures was 3 : 1.
Had 25 less appeared and 20 less passed, the ratio of passes to failures would have been 20 : 7.
How many students appeared for the examination?
(i)
160
(ii)
150
(iii)
170
(iv)
155
(v)
165
Question
12
12.
What number must be added to each term of the ratio
144
:
234
to make it
27
:
32
?
(i)
339
(ii)
343
(iii)
342
(iv)
344
(v)
341
Question
13
13.
A ratio is equal to 17 : 10. If its antecendent is 3808, what is its consequent?
(i)
2240
(ii)
2237
(iii)
2239
(iv)
2241
(v)
2243
Question
14
14.
A ratio is equal to 7 : 10. If its consequent is 1000, what is its antecendent?
(i)
699
(ii)
703
(iii)
701
(iv)
698
(v)
700
Question
15
15.
Two numbers are in the ratio 6 : 13. If 20 is added to each number, the ratio becomes 22 : 43. Find the numbers.
(i)
84
:
182
(ii)
102
:
221
(iii)
90
:
195
(iv)
96
:
208
(v)
78
:
169
Question
16
16.
The ratio of two numbers is
3
:
2
and their LCM is 72. Find the numbers.
(i)
39
:
26
(ii)
36
:
24
(iii)
33
:
22
(iv)
42
:
28
(v)
30
:
20
Question
17
17.
If
5
A =
4
B =
7
C,
find A : B : C
(i)
28
:
37
:
20
(ii)
29
:
35
:
20
(iii)
28
:
33
:
20
(iv)
27
:
35
:
20
(v)
28
:
35
:
20
Question
18
18.
If
A
3
=
B
5
=
C
7
,
find A : B : C
(i)
2
:
5
:
7
(ii)
4
:
5
:
7
(iii)
3
:
8
:
7
(iv)
3
:
5
:
7
(v)
3
:
3
:
7
Question
19
19.
If
9
A =
5
B and
2
B =
3
C,
find A : C
(i)
5
:
4
(ii)
5
:
6
(iii)
6
:
6
(iv)
4
:
6
(v)
5
:
8
Question
20
20.
Divide 3286 in the ratio
4
3
:
7
8
(i)
1983 , 1302
(ii)
1985 , 1302
(iii)
1984 , 1304
(iv)
1984 , 1300
(v)
1984 , 1302
Question
21
21.
Divide 17168 in the ratio
2
5
:
2
3
:
8
7
(i)
3108 , 5180 , 8880
(ii)
3108 , 5178 , 8880
(iii)
3109 , 5180 , 8880
(iv)
3108 , 5183 , 8880
(v)
3107 , 5180 , 8880
Question
22
22.
Two numbers are in the ratio 7 : 3 and their difference is 84. Find the numbers.
(i)
147,63
(ii)
146,63
(iii)
147,65
(iv)
147,61
(v)
148,63
Question
23
23.
An office contains 480 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 6 : 3 : 1 : 2. The number of managers in the office =
(i)
241
(ii)
239
(iii)
238
(iv)
240
(v)
242
Question
24
24.
An office contains 276 managers, 345 team leaders, 138 developers and 69 testers. The ratio of all employees in the office =
(i)
3
:
5
:
2
:
1
(ii)
4
:
5
:
2
:
1
(iii)
5
:
5
:
2
:
1
(iv)
4
:
3
:
2
:
1
(v)
4
:
7
:
2
:
1
Question
25
25.
An office contains 55 managers, 44 team leaders, 77 developers and 22 testers. The ratio of managers and team leaders =
(i)
5
:
6
(ii)
5
:
4
(iii)
4
:
4
(iv)
5
:
2
(v)
6
:
4
Question
26
26.
An office contains 45 managers, 270 team leaders, 135 developers and 45 testers. The ratio of managers to the total employees =
(i)
0
:
11
(ii)
1
:
14
(iii)
1
:
11
(iv)
1
:
8
(v)
2
:
11
Question
27
27.
A box contains 752 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 6 : 3 : 7. The number of mangoes in the box =
(i)
282
(ii)
284
(iii)
279
(iv)
283
(v)
281
Question
28
28.
A box contains 264 mangoes, 66 apples and 396 oranges. The ratio of all fruits in the box =
(i)
3
:
1
:
6
(ii)
4
:
4
:
6
(iii)
5
:
1
:
6
(iv)
4
:
-2
:
6
(v)
4
:
1
:
6
Question
29
29.
A box contains 62 mangoes, 124 apples and 31 oranges. The ratio of mangoes and apples =
(i)
1
:
4
(ii)
0
:
2
(iii)
1
:
2
(iv)
2
:
2
(v)
1
:
0
Question
30
30.
A box contains 112 mangoes, 32 apples and 16 oranges. The ratio of mangoes to the total fruits =
(i)
7
:
10
(ii)
7
:
8
(iii)
6
:
10
(iv)
7
:
12
(v)
8
:
10
Question
31
31.
A box contains 210 pens and 252 pencils. The ratio of all stationary items in the box =
(i)
6
:
6
(ii)
4
:
6
(iii)
5
:
9
(iv)
5
:
3
(v)
5
:
6
Question
32
32.
A box contains 129 pens and 43 pencils. The ratio of pens to the total stationary items =
(i)
2
:
4
(ii)
3
:
4
(iii)
4
:
4
(iv)
3
:
2
(v)
3
:
7
Question
33
33.
A box contains 132 pens and 330 pencils. The ratio of pencils to the total stationary items =
(i)
5
:
4
(ii)
6
:
7
(iii)
5
:
10
(iv)
5
:
7
(v)
4
:
7
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (i)
5) (iv)
6) (iii)
7) (iv)
8) (v)
9) (ii)
10) (iii)
11) (i)
12) (iii)
13) (i)
14) (v)
15) (iii)
16) (ii)
17) (v)
18) (iv)
19) (ii)
20) (v)
21) (i)
22) (i)
23) (iv)
24) (ii)
25) (ii)
26) (iii)
27) (i)
28) (v)
29) (iii)
30) (i)
31) (v)
32) (ii)
33) (iv)