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
143
litres,
the ratio of milk and water is
4 : 7
.
How much water must be added
to this mixture to make the ratio
52 : 181
?
(i)
90
(ii)
93
(iii)
91
(iv)
87
(v)
89
Question
2
2.
The ratio of males to females in a committee of 308 members is 11 : 17. How many more ladies should be added to the committee so that the ratio of males to females is 121 : 287?
(i)
100
(ii)
99
(iii)
101
(iv)
103
(v)
98
Question
3
3.
An employer reduces the number of
employees in the ratio of
13 : 3
and increases their wages
in the ratio
5 : 8
.
In what ratio, the wage bill is increased or decreased?
(i)
64
:
24
(ii)
65
:
26
(iii)
65
:
24
(iv)
65
:
22
Question
4
4.
The work done by (3x + 1) men in (6x + 1) days and work done by (4x + 1) men in (4x + 2) days is in the ratio of 95 : 91 . Find the value of x
(i)
4
(ii)
5
(iii)
1
(iv)
2
(v)
3
Question
5
5.
A man reduces his weight in the ratio 17 : 14. What is his weight now, if originally he was 96 kg ?
(i)
1378
17
kg
(ii)
1345
17
kg
(iii)
1361
17
kg
(iv)
1346
17
kg
(v)
1344
17
kg
Question
6
6.
A certain amount has been divided into two parts in the ratio 7 : 4. If the first part is 259, find the total amount.
(i)
409
(ii)
405
(iii)
408
(iv)
407
(v)
406
Question
7
7.
Divide
₹90600
into three parts
such that the first one is
2
9
of the second
and ratio between second and the third is
8 : 7
(i)
₹
9600.00
:
₹
43200.00
:
₹
37800.00
(ii)
₹
43200.00
:
₹
37800.00
:
₹
9600.00
(iii)
₹
9600.00
:
₹
37800.00
:
₹
43200.00
(iv)
₹
37800.00
:
₹
9600.00
:
₹
43200.00
(v)
₹
9600.00
:
₹
43200.00
:
₹
43200.00
Question
8
8.
Increase
832
in the ratio
16 : 18
(i)
939
(ii)
934
(iii)
936
(iv)
935
(v)
937
Question
9
9.
Divide
₹11400
among A,B,C so that
A shall receive
4
15
of what B and C together recieve
and B may receive
9
10
of what A and C receive
(i)
₹
2400.00
:
₹
3600.00
:
₹
5400.00
(ii)
₹
3600.00
:
₹
2400.00
:
₹
5400.00
(iii)
₹
2400.00
:
₹
5400.00
:
₹
5400.00
(iv)
₹
2400.00
:
₹
5400.00
:
₹
3600.00
(v)
₹
5400.00
:
₹
3600.00
:
₹
2400.00
Question
10
10.
A bag contains ₹792 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 11 : 7 : 19. Find the number of coins of each type
(i)
100 , 68 , 166
(ii)
98 , 63 , 176
(iii)
97 , 68 , 171
(iv)
101 , 58 , 171
(v)
99 , 63 , 171
Question
11
11.
In an examination, the ratio of passes to failures was 4 : 1.
Had 10 less appeared and 5 less passed, the ratio of passes to failures would have been 31 : 7.
How many students appeared for the examination?
(i)
200
(ii)
210
(iii)
195
(iv)
190
(v)
205
Question
12
12.
What number must be added to each term of the ratio
10
:
90
to make it
19
:
27
?
(i)
182
(ii)
181
(iii)
177
(iv)
180
(v)
179
Question
13
13.
A ratio is equal to 34 : 25. If its antecendent is 1190, what is its consequent?
(i)
877
(ii)
876
(iii)
872
(iv)
875
(v)
874
Question
14
14.
A ratio is equal to 77 : 34. If its consequent is 340, what is its antecendent?
(i)
771
(ii)
772
(iii)
768
(iv)
770
(v)
769
Question
15
15.
Two numbers are in the ratio 1 : 5. If 18 is added to each number, the ratio becomes 29 : 73. Find the numbers.
(i)
13
:
65
(ii)
9
:
45
(iii)
12
:
60
(iv)
10
:
50
(v)
11
:
55
Question
16
16.
The ratio of two numbers is
5
:
1
and their LCM is 45. Find the numbers.
(i)
35
:
7
(ii)
40
:
8
(iii)
55
:
11
(iv)
50
:
10
(v)
45
:
9
Question
17
17.
If
3
A =
9
B =
2
C,
find A : B : C
(i)
5
:
2
:
9
(ii)
6
:
2
:
9
(iii)
7
:
2
:
9
(iv)
6
:
-1
:
9
(v)
6
:
5
:
9
Question
18
18.
If
A
3
=
B
7
=
C
8
,
find A : B : C
(i)
2
:
7
:
8
(ii)
4
:
7
:
8
(iii)
3
:
9
:
8
(iv)
3
:
5
:
8
(v)
3
:
7
:
8
Question
19
19.
If
4
A =
9
B and
2
B =
7
C,
find A : C
(i)
64
:
8
(ii)
63
:
5
(iii)
62
:
8
(iv)
63
:
11
(v)
63
:
8
Question
20
20.
Divide 7470 in the ratio
9
5
:
4
7
(i)
5669 , 1800
(ii)
5670 , 1798
(iii)
5670 , 1800
(iv)
5671 , 1800
(v)
5670 , 1802
Question
21
21.
Divide 16860 in the ratio
2
9
:
3
2
:
7
5
(i)
1201 , 8100 , 7560
(ii)
1200 , 8100 , 7560
(iii)
1200 , 8097 , 7560
(iv)
1199 , 8100 , 7560
(v)
1200 , 8103 , 7560
Question
22
22.
Two numbers are in the ratio 4 : 1 and their difference is 60. Find the numbers.
(i)
81,20
(ii)
79,20
(iii)
80,20
(iv)
80,17
(v)
80,23
Question
23
23.
An office contains 544 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 6 : 5 : 2 : 3. The number of managers in the office =
(i)
202
(ii)
203
(iii)
205
(iv)
204
(v)
207
Question
24
24.
An office contains 60 managers, 48 team leaders, 24 developers and 12 testers. The ratio of all employees in the office =
(i)
6
:
4
:
2
:
1
(ii)
5
:
4
:
2
:
1
(iii)
5
:
1
:
2
:
1
(iv)
5
:
6
:
2
:
1
(v)
4
:
4
:
2
:
1
Question
25
25.
An office contains 59 managers, 118 team leaders, 354 developers and 236 testers. The ratio of managers and team leaders =
(i)
0
:
2
(ii)
2
:
2
(iii)
1
:
2
(iv)
1
:
-1
(v)
1
:
5
Question
26
26.
An office contains 90 managers, 30 team leaders, 150 developers and 30 testers. The ratio of managers to the total employees =
(i)
2
:
10
(ii)
3
:
8
(iii)
3
:
12
(iv)
3
:
10
(v)
4
:
10
Question
27
27.
A box contains 558 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 3 : 5 : 1. The number of mangoes in the box =
(i)
187
(ii)
186
(iii)
189
(iv)
184
(v)
185
Question
28
28.
A box contains 343 mangoes, 98 apples and 245 oranges. The ratio of all fruits in the box =
(i)
8
:
2
:
5
(ii)
6
:
2
:
5
(iii)
7
:
-1
:
5
(iv)
7
:
2
:
5
(v)
7
:
5
:
5
Question
29
29.
A box contains 84 mangoes, 36 apples and 60 oranges. The ratio of mangoes and apples =
(i)
7
:
3
(ii)
7
:
6
(iii)
7
:
1
(iv)
8
:
3
(v)
6
:
3
Question
30
30.
A box contains 256 mangoes, 384 apples and 256 oranges. The ratio of mangoes to the total fruits =
(i)
1
:
7
(ii)
2
:
7
(iii)
2
:
4
(iv)
3
:
7
(v)
2
:
10
Question
31
31.
A box contains 134 pens and 268 pencils. The ratio of all stationary items in the box =
(i)
1
:
4
(ii)
2
:
4
(iii)
2
:
6
(iv)
3
:
4
(v)
2
:
1
Question
32
32.
A box contains 92 pens and 138 pencils. The ratio of pens to the total stationary items =
(i)
2
:
3
(ii)
3
:
5
(iii)
2
:
5
(iv)
1
:
5
(v)
2
:
8
Question
33
33.
A box contains 156 pens and 52 pencils. The ratio of pencils to the total stationary items =
(i)
2
:
4
(ii)
1
:
4
(iii)
1
:
1
(iv)
0
:
4
(v)
1
:
7
Assignment Key
1) (i)
2) (i)
3) (iii)
4) (v)
5) (v)
6) (iv)
7) (i)
8) (iii)
9) (iv)
10) (v)
11) (i)
12) (iv)
13) (iv)
14) (iv)
15) (v)
16) (v)
17) (ii)
18) (v)
19) (v)
20) (iii)
21) (ii)
22) (iii)
23) (iv)
24) (ii)
25) (iii)
26) (iv)
27) (ii)
28) (iv)
29) (i)
30) (ii)
31) (ii)
32) (iii)
33) (ii)