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
247
litres,
the ratio of milk and water is
5 : 8
.
How much water must be added
to this mixture to make the ratio
95 : 252
?
(i)
100
(ii)
97
(iii)
103
(iv)
99
(v)
101
Question
2
2.
The ratio of males to females in a committee of 460 members is 19 : 4. How many more ladies should be added to the committee so that the ratio of males to females is 19 : 8?
(i)
82
(ii)
77
(iii)
80
(iv)
79
(v)
81
Question
3
3.
An employer reduces the number of
employees in the ratio of
11 : 10
and increases their wages
in the ratio
6 : 9
.
In what ratio, the wage bill is increased or decreased?
(i)
11
:
13
(ii)
11
:
17
(iii)
10
:
15
(iv)
11
:
15
Question
4
4.
The work done by (x + 1) men in (11x + 2) days and work done by (7x) men in (4x + 1) days is in the ratio of 20 : 39 . Find the value of x
(i)
1
(ii)
2
(iii)
4
(iv)
6
(v)
3
Question
5
5.
A man reduces his weight in the ratio 15 : 10. What is his weight now, if originally he was 58 kg ?
(i)
119
3
kg
(ii)
118
3
kg
(iii)
122
3
kg
(iv)
39
kg
(v)
116
3
kg
Question
6
6.
A certain amount has been divided into two parts in the ratio 2 : 3. If the first part is 46, find the total amount.
(i)
116
(ii)
114
(iii)
117
(iv)
113
(v)
115
Question
7
7.
Divide
₹31800
into three parts
such that the first one is
3
4
of the second
and ratio between second and the third is
3 : 8
(i)
₹
5400.00
:
₹
19200.00
:
₹
7200.00
(ii)
₹
5400.00
:
₹
7200.00
:
₹
7200.00
(iii)
₹
19200.00
:
₹
5400.00
:
₹
7200.00
(iv)
₹
5400.00
:
₹
7200.00
:
₹
19200.00
(v)
₹
7200.00
:
₹
19200.00
:
₹
5400.00
Question
8
8.
Increase
441
in the ratio
7 : 11
(i)
694
(ii)
696
(iii)
691
(iv)
693
(v)
692
Question
9
9.
Divide
₹38400
among A,B,C so that
A shall receive
1
15
of what B and C together recieve
and B may receive
3
13
of what A and C receive
(i)
₹
2400.00
:
₹
28800.00
:
₹
7200.00
(ii)
₹
2400.00
:
₹
7200.00
:
₹
28800.00
(iii)
₹
28800.00
:
₹
2400.00
:
₹
7200.00
(iv)
₹
7200.00
:
₹
28800.00
:
₹
2400.00
(v)
₹
2400.00
:
₹
7200.00
:
₹
7200.00
Question
10
10.
A bag contains ₹975 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 5 : 11 : 18. Find the number of coins of each type
(i)
77 , 160 , 270
(ii)
75 , 165 , 270
(iii)
74 , 165 , 275
(iv)
73 , 170 , 270
(v)
76 , 170 , 265
Question
11
11.
In an examination, the ratio of passes to failures was 4 : 3.
Had 255 less appeared and 20 less passed, the ratio of passes to failures would have been 68 : 7.
How many students appeared for the examination?
(i)
630
(ii)
620
(iii)
635
(iv)
625
(v)
640
Question
12
12.
What number must be added to each term of the ratio
176
:
304
to make it
23
:
31
?
(i)
192
(ii)
191
(iii)
190
(iv)
195
(v)
193
Question
13
13.
A ratio is equal to 13 : 1. If its antecendent is 8190, what is its consequent?
(i)
631
(ii)
632
(iii)
630
(iv)
629
(v)
628
Question
14
14.
A ratio is equal to 35 : 6. If its consequent is 1050, what is its antecendent?
(i)
6124
(ii)
6125
(iii)
6127
(iv)
6126
(v)
6123
Question
15
15.
Two numbers are in the ratio 2 : 3. If 12 is added to each number, the ratio becomes 34 : 45. Find the numbers.
(i)
26
:
39
(ii)
20
:
30
(iii)
18
:
27
(iv)
22
:
33
(v)
24
:
36
Question
16
16.
The ratio of two numbers is
2
:
1
and their LCM is 28. Find the numbers.
(i)
24
:
12
(ii)
30
:
15
(iii)
28
:
14
(iv)
32
:
16
(v)
26
:
13
Question
17
17.
If
4
A =
3
B =
2
C,
find A : B : C
(i)
3
:
1
:
6
(ii)
3
:
6
:
6
(iii)
4
:
4
:
6
(iv)
2
:
4
:
6
(v)
3
:
4
:
6
Question
18
18.
If
A
3
=
B
7
=
C
8
,
find A : B : C
(i)
3
:
10
:
8
(ii)
3
:
4
:
8
(iii)
4
:
7
:
8
(iv)
2
:
7
:
8
(v)
3
:
7
:
8
Question
19
19.
If
8
A =
9
B and
2
B =
7
C,
find A : C
(i)
64
:
16
(ii)
63
:
19
(iii)
63
:
13
(iv)
63
:
16
(v)
62
:
16
Question
20
20.
Divide 4572 in the ratio
9
8
:
8
7
(i)
2267 , 2304
(ii)
2268 , 2301
(iii)
2269 , 2304
(iv)
2268 , 2304
(v)
2268 , 2307
Question
21
21.
Divide 13200 in the ratio
4
5
:
6
5
:
2
3
(i)
3959 , 5940 , 3300
(ii)
3960 , 5938 , 3300
(iii)
3960 , 5940 , 3300
(iv)
3960 , 5942 , 3300
(v)
3961 , 5940 , 3300
Question
22
22.
Two numbers are in the ratio 3 : 1 and their difference is 48. Find the numbers.
(i)
71,24
(ii)
72,26
(iii)
72,24
(iv)
73,24
(v)
72,21
Question
23
23.
An office contains 540 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 2 : 7 : 2 : 1. The number of managers in the office =
(i)
91
(ii)
88
(iii)
92
(iv)
89
(v)
90
Question
24
24.
An office contains 156 managers, 234 team leaders, 195 developers and 273 testers. The ratio of all employees in the office =
(i)
4
:
8
:
5
:
7
(ii)
4
:
3
:
5
:
7
(iii)
4
:
6
:
5
:
7
(iv)
5
:
6
:
5
:
7
(v)
3
:
6
:
5
:
7
Question
25
25.
An office contains 18 managers, 126 team leaders, 90 developers and 126 testers. The ratio of managers and team leaders =
(i)
1
:
5
(ii)
2
:
7
(iii)
1
:
7
(iv)
1
:
10
(v)
0
:
7
Question
26
26.
An office contains 54 managers, 108 team leaders, 54 developers and 90 testers. The ratio of managers to the total employees =
(i)
3
:
14
(ii)
2
:
17
(iii)
3
:
17
(iv)
3
:
20
(v)
4
:
17
Question
27
27.
A box contains 297 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 2 : 5 : 2. The number of mangoes in the box =
(i)
69
(ii)
67
(iii)
64
(iv)
65
(v)
66
Question
28
28.
A box contains 80 mangoes, 240 apples and 80 oranges. The ratio of all fruits in the box =
(i)
2
:
8
:
2
(ii)
2
:
4
:
2
(iii)
2
:
6
:
2
(iv)
3
:
6
:
2
(v)
1
:
6
:
2
Question
29
29.
A box contains 188 mangoes, 329 apples and 47 oranges. The ratio of mangoes and apples =
(i)
3
:
7
(ii)
4
:
5
(iii)
4
:
7
(iv)
4
:
10
(v)
5
:
7
Question
30
30.
A box contains 189 mangoes, 126 apples and 252 oranges. The ratio of mangoes to the total fruits =
(i)
1
:
3
(ii)
2
:
3
(iii)
1
:
1
(iv)
1
:
5
(v)
0
:
3
Question
31
31.
A box contains 140 pens and 35 pencils. The ratio of all stationary items in the box =
(i)
3
:
1
(ii)
4
:
4
(iii)
4
:
1
(iv)
4
:
-2
(v)
5
:
1
Question
32
32.
A box contains 165 pens and 66 pencils. The ratio of pens to the total stationary items =
(i)
5
:
7
(ii)
6
:
7
(iii)
5
:
5
(iv)
5
:
10
(v)
4
:
7
Question
33
33.
A box contains 17 pens and 34 pencils. The ratio of pencils to the total stationary items =
(i)
2
:
3
(ii)
2
:
6
(iii)
2
:
1
(iv)
1
:
3
(v)
3
:
3
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (v)
5) (v)
6) (v)
7) (iv)
8) (iv)
9) (ii)
10) (ii)
11) (i)
12) (i)
13) (iii)
14) (ii)
15) (iv)
16) (iii)
17) (v)
18) (v)
19) (iv)
20) (iv)
21) (iii)
22) (iii)
23) (v)
24) (iii)
25) (iii)
26) (iii)
27) (v)
28) (iii)
29) (iii)
30) (i)
31) (iii)
32) (i)
33) (i)
