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
    • 504
    • litres,
    • the ratio of milk and water is
    • 13 : 15
    • .
    • How much water must be added
    • to this mixture to make the ratio
    • 13 : 17
    • ?
  • (i)
    39
  • (ii)
    36
  • (iii)
    37
  • (iv)
    34
  • (v)
    35
Question 2
2.
The ratio of males to females in a committee of 525 members is 17 : 18. How many more ladies should be added to the committee so that the ratio of males to females is 17 : 20?
  • (i)
    29
  • (ii)
    31
  • (iii)
    28
  • (iv)
    30
  • (v)
    32
Question 3
3.
    • An employer reduces the number of
    • employees in the ratio of
    • 11 : 10
    • and increases their wages
    • in the ratio
    • 4 : 18
    • .
    • In what ratio, the wage bill is increased or decreased?
  • (i)
    10
    :
    45
  • (ii)
    11
    :
    42
  • (iii)
    11
    :
    48
  • (iv)
    11
    :
    45
Question 4
4.
The work done by (2x + 1) men in (12x + 1) days and work done by (17x + 1) men in (3x + 1) days is in the ratio of 25 : 49 . Find the value of x
  • (i)
    5
  • (ii)
    0
  • (iii)
    1
  • (iv)
    3
  • (v)
    2
Question 5
5.
A man reduces his weight in the ratio 15 : 10. What is his weight now, if originally he was 66 kg ?
  • (i)
    45
    kg
  • (ii)
    46
    kg
  • (iii)
    42
    kg
  • (iv)
    44
    kg
  • (v)
    43
    kg
Question 6
6.
A certain amount has been divided into two parts in the ratio 6 : 2. If the first part is 126, find the total amount.
  • (i)
    165
  • (ii)
    171
  • (iii)
    167
  • (iv)
    169
  • (v)
    168
Question 7
7.
    • Divide
    • ₹76000
    • into three parts
    • such that the first one is
    • 6

      7
    • of the second
    • and ratio between second and the third is
    • 3 : 8
  • (i)
    44800.00
    :
    14400.00
    :
    16800.00
  • (ii)
    14400.00
    :
    16800.00
    :
    16800.00
  • (iii)
    16800.00
    :
    44800.00
    :
    14400.00
  • (iv)
    14400.00
    :
    44800.00
    :
    16800.00
  • (v)
    14400.00
    :
    16800.00
    :
    44800.00
Question 8
8.
    • Increase
    • 264
    • in the ratio
    • 6 : 15
  • (i)
    661
  • (ii)
    657
  • (iii)
    659
  • (iv)
    662
  • (v)
    660
Question 9
9.
    • Divide
    • ₹22800
    • among A,B,C so that
    • A shall receive
    • 12

      7
    • of what B and C together recieve
    • and B may receive
    • 3

      16
    • of what A and C receive
  • (i)
    3600.00
    :
    4800.00
    :
    14400.00
  • (ii)
    14400.00
    :
    4800.00
    :
    3600.00
  • (iii)
    4800.00
    :
    14400.00
    :
    3600.00
  • (iv)
    14400.00
    :
    3600.00
    :
    3600.00
  • (v)
    14400.00
    :
    3600.00
    :
    4800.00
Question 10
10.
A bag contains ₹1904 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 13 : 19 : 9. Find the number of coins of each type
  • (i)
    220 , 323 , 158
  • (ii)
    219 , 328 , 153
  • (iii)
    221 , 323 , 153
  • (iv)
    222 , 328 , 148
  • (v)
    223 , 318 , 153
Question 11
11.
    • In an examination, the ratio of passes to failures was 5 : 2.
    • Had 25 less appeared and 15 less passed, the ratio of passes to failures would have been 17 : 6.
    • How many students appeared for the examination?
  • (i)
    130
  • (ii)
    145
  • (iii)
    135
  • (iv)
    150
  • (v)
    140
Question 12
12.
    • What number must be added to each term of the ratio
    • 210
      :
      238
    • to make it
    • 27
      :
      29
    • ?
  • (i)
    170
  • (ii)
    167
  • (iii)
    169
  • (iv)
    168
  • (v)
    166
Question 13
13.
A ratio is equal to 28 : 5. If its antecendent is 8736, what is its consequent?
  • (i)
    1562
  • (ii)
    1559
  • (iii)
    1560
  • (iv)
    1561
  • (v)
    1558
Question 14
14.
A ratio is equal to 42 : 5. If its consequent is 375, what is its antecendent?
  • (i)
    3149
  • (ii)
    3151
  • (iii)
    3152
  • (iv)
    3150
  • (v)
    3147
Question 15
15.
Two numbers are in the ratio 4 : 15. If 10 is added to each number, the ratio becomes 3 : 10. Find the numbers.
  • (i)
    48
    :
    180
  • (ii)
    56
    :
    210
  • (iii)
    52
    :
    195
  • (iv)
    64
    :
    240
  • (v)
    60
    :
    225
Question 16
16.
The ratio of two numbers is
4
:
2
and their LCM is 48. Find the numbers.
  • (i)
    44
    :
    22
  • (ii)
    48
    :
    24
  • (iii)
    56
    :
    28
  • (iv)
    40
    :
    20
  • (v)
    52
    :
    26
Question 17
17.
    • If
    • 5
    • A =
    • 3
    • B =
    • 9
    • C,
    • find A : B : C
  • (i)
    9
    :
    15
    :
    5
  • (ii)
    9
    :
    12
    :
    5
  • (iii)
    9
    :
    18
    :
    5
  • (iv)
    8
    :
    15
    :
    5
  • (v)
    10
    :
    15
    :
    5
Question 18
18.
    • If
    •  
    • A

      4
    • =
    • B

      3
    • =
    • C

      9
    • ,
    • find A : B : C
  • (i)
    4
    :
    0
    :
    9
  • (ii)
    5
    :
    3
    :
    9
  • (iii)
    4
    :
    5
    :
    9
  • (iv)
    4
    :
    3
    :
    9
  • (v)
    3
    :
    3
    :
    9
Question 19
19.
    • If
    • 6
    • A =
    • 7
    • B and
    • 5
    • B =
    • 2
    • C,
    • find A : C
  • (i)
    8
    :
    15
  • (ii)
    7
    :
    15
  • (iii)
    6
    :
    15
  • (iv)
    7
    :
    17
  • (v)
    7
    :
    13
Question 20
20.
    • Divide 424 in the ratio
    • 5

      6
      :
      1

      2
  • (i)
    265 , 156
  • (ii)
    266 , 159
  • (iii)
    264 , 159
  • (iv)
    265 , 162
  • (v)
    265 , 159
Question 21
21.
    • Divide 2490 in the ratio
    • 1

      2
      :
      5

      4
      :
      5

      9
  • (i)
    540 , 1350 , 600
  • (ii)
    540 , 1348 , 600
  • (iii)
    541 , 1350 , 600
  • (iv)
    540 , 1352 , 600
  • (v)
    539 , 1350 , 600
Question 22
22.
Two numbers are in the ratio 5 : 4 and their difference is 21. Find the numbers.
  • (i)
    105,87
  • (ii)
    104,84
  • (iii)
    105,82
  • (iv)
    105,84
  • (v)
    106,84
Question 23
23.
An office contains 885 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 1 : 2 : 7 : 5. The number of managers in the office =
  • (i)
    59
  • (ii)
    61
  • (iii)
    60
  • (iv)
    58
  • (v)
    56
Question 24
24.
An office contains 198 managers, 132 team leaders, 66 developers and 330 testers. The ratio of all employees in the office =
  • (i)
    3
    :
    -1
    :
    1
    :
    5
  • (ii)
    4
    :
    2
    :
    1
    :
    5
  • (iii)
    3
    :
    5
    :
    1
    :
    5
  • (iv)
    2
    :
    2
    :
    1
    :
    5
  • (v)
    3
    :
    2
    :
    1
    :
    5
Question 25
25.
An office contains 52 managers, 39 team leaders, 91 developers and 52 testers. The ratio of managers and team leaders =
  • (i)
    4
    :
    0
  • (ii)
    3
    :
    3
  • (iii)
    5
    :
    3
  • (iv)
    4
    :
    3
  • (v)
    4
    :
    5
Question 26
26.
An office contains 116 managers, 203 team leaders, 145 developers and 116 testers. The ratio of managers to the total employees =
  • (i)
    1
    :
    2
  • (ii)
    2
    :
    5
  • (iii)
    1
    :
    5
  • (iv)
    1
    :
    8
  • (v)
    0
    :
    5
Question 27
27.
A box contains 377 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 4 : 7 : 2. The number of mangoes in the box =
  • (i)
    115
  • (ii)
    114
  • (iii)
    116
  • (iv)
    117
  • (v)
    119
Question 28
28.
A box contains 161 mangoes, 92 apples and 69 oranges. The ratio of all fruits in the box =
  • (i)
    8
    :
    4
    :
    3
  • (ii)
    6
    :
    4
    :
    3
  • (iii)
    7
    :
    6
    :
    3
  • (iv)
    7
    :
    4
    :
    3
  • (v)
    7
    :
    1
    :
    3
Question 29
29.
A box contains 188 mangoes, 235 apples and 141 oranges. The ratio of mangoes and apples =
  • (i)
    3
    :
    5
  • (ii)
    4
    :
    5
  • (iii)
    4
    :
    8
  • (iv)
    4
    :
    2
  • (v)
    5
    :
    5
Question 30
30.
A box contains 200 mangoes, 280 apples and 240 oranges. The ratio of mangoes to the total fruits =
  • (i)
    5
    :
    18
  • (ii)
    4
    :
    18
  • (iii)
    5
    :
    15
  • (iv)
    6
    :
    18
  • (v)
    5
    :
    20
Question 31
31.
A box contains 49 pens and 98 pencils. The ratio of all stationary items in the box =
  • (i)
    1
    :
    -1
  • (ii)
    1
    :
    2
  • (iii)
    0
    :
    2
  • (iv)
    1
    :
    5
  • (v)
    2
    :
    2
Question 32
32.
A box contains 70 pens and 175 pencils. The ratio of pens to the total stationary items =
  • (i)
    2
    :
    7
  • (ii)
    1
    :
    7
  • (iii)
    3
    :
    7
  • (iv)
    2
    :
    4
  • (v)
    2
    :
    9
Question 33
33.
A box contains 222 pens and 148 pencils. The ratio of pencils to the total stationary items =
  • (i)
    1
    :
    5
  • (ii)
    3
    :
    5
  • (iii)
    2
    :
    2
  • (iv)
    2
    :
    7
  • (v)
    2
    :
    5
    Assignment Key

  •  1) (ii)
  •  2) (iv)
  •  3) (iv)
  •  4) (v)
  •  5) (iv)
  •  6) (v)
  •  7) (v)
  •  8) (v)
  •  9) (v)
  •  10) (iii)
  •  11) (v)
  •  12) (iv)
  •  13) (iii)
  •  14) (iv)
  •  15) (ii)
  •  16) (ii)
  •  17) (i)
  •  18) (iv)
  •  19) (ii)
  •  20) (v)
  •  21) (i)
  •  22) (iv)
  •  23) (i)
  •  24) (v)
  •  25) (iv)
  •  26) (iii)
  •  27) (iii)
  •  28) (iv)
  •  29) (ii)
  •  30) (i)
  •  31) (ii)
  •  32) (i)
  •  33) (v)