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)