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
    • 406
    • litres,
    • the ratio of milk and water is
    • 15 : 14
    • .
    • How much water must be added
    • to this mixture to make the ratio
    • 105 : 118
    • ?
  • (i)
    37
  • (ii)
    39
  • (iii)
    40
  • (iv)
    43
  • (v)
    41
Question 2
2.
The ratio of males to females in a committee of 630 members is 17 : 18. How many more ladies should be added to the committee so that the ratio of males to females is 153 : 190?
  • (i)
    56
  • (ii)
    59
  • (iii)
    55
  • (iv)
    57
  • (v)
    53
Question 3
3.
    • An employer reduces the number of
    • employees in the ratio of
    • 10 : 3
    • and increases their wages
    • in the ratio
    • 6 : 11
    • .
    • In what ratio, the wage bill is increased or decreased?
  • (i)
    20
    :
    11
  • (ii)
    20
    :
    8
  • (iii)
    19
    :
    11
  • (iv)
    20
    :
    13
Question 4
4.
The work done by (17x) men in (2) days and work done by (4x + 2) men in (x + 2) days is in the ratio of 85 : 77 . Find the value of x
  • (i)
    5
  • (ii)
    6
  • (iii)
    3
  • (iv)
    7
  • (v)
    4
Question 5
5.
A man reduces his weight in the ratio 20 : 13. What is his weight now, if originally he was 81 kg ?
  • (i)
    1093

    20
    kg
  • (ii)
    527

    10
    kg
  • (iii)
    1053

    20
    kg
  • (iv)
    211

    4
    kg
  • (v)
    1073

    20
    kg
Question 6
6.
A certain amount has been divided into two parts in the ratio 3 : 5. If the first part is 72, find the total amount.
  • (i)
    191
  • (ii)
    189
  • (iii)
    193
  • (iv)
    192
  • (v)
    195
Question 7
7.
    • Divide
    • ₹57000
    • into three parts
    • such that the first one is
    • 5

      9
    • of the second
    • and ratio between second and the third is
    • 3 : 8
  • (i)
    ₹
    7500.00
    :
    ₹
    13500.00
    :
    ₹
    13500.00
  • (ii)
    ₹
    7500.00
    :
    ₹
    13500.00
    :
    ₹
    36000.00
  • (iii)
    ₹
    36000.00
    :
    ₹
    7500.00
    :
    ₹
    13500.00
  • (iv)
    ₹
    7500.00
    :
    ₹
    36000.00
    :
    ₹
    13500.00
  • (v)
    ₹
    13500.00
    :
    ₹
    36000.00
    :
    ₹
    7500.00
Question 8
8.
    • Increase
    • 161
    • in the ratio
    • 7 : 16
  • (i)
    367
  • (ii)
    369
  • (iii)
    366
  • (iv)
    370
  • (v)
    368
Question 9
9.
    • Divide
    • ₹46500
    • among A,B,C so that
    • A shall receive
    • 10

      21
    • of what B and C together recieve
    • and B may receive
    • 15

      16
    • of what A and C receive
  • (i)
    ₹
    15000.00
    :
    ₹
    22500.00
    :
    ₹
    9000.00
  • (ii)
    ₹
    15000.00
    :
    ₹
    9000.00
    :
    ₹
    22500.00
  • (iii)
    ₹
    9000.00
    :
    ₹
    15000.00
    :
    ₹
    22500.00
  • (iv)
    ₹
    22500.00
    :
    ₹
    9000.00
    :
    ₹
    15000.00
  • (v)
    ₹
    15000.00
    :
    ₹
    22500.00
    :
    ₹
    22500.00
Question 10
10.
A bag contains ₹1548 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 17 : 16 : 12. Find the number of coins of each type
  • (i)
    205 , 197 , 139
  • (ii)
    206 , 187 , 144
  • (iii)
    204 , 192 , 144
  • (iv)
    202 , 197 , 144
  • (v)
    203 , 192 , 149
Question 11
11.
    • In an examination, the ratio of passes to failures was 2 : 1.
    • Had 20 less appeared and 10 less passed, the ratio of passes to failures would have been 9 : 4.
    • How many students appeared for the examination?
  • (i)
    145
  • (ii)
    160
  • (iii)
    150
  • (iv)
    140
  • (v)
    155
Question 12
12.
    • What number must be added to each term of the ratio
    • 162
      :
      360
    • to make it
    • 20
      :
      31
    • ?
  • (i)
    199
  • (ii)
    195
  • (iii)
    198
  • (iv)
    197
  • (v)
    200
Question 13
13.
A ratio is equal to 5 : 2. If its antecendent is 875, what is its consequent?
  • (i)
    351
  • (ii)
    349
  • (iii)
    347
  • (iv)
    352
  • (v)
    350
Question 14
14.
A ratio is equal to 3 : 5. If its consequent is 6125, what is its antecendent?
  • (i)
    3677
  • (ii)
    3673
  • (iii)
    3676
  • (iv)
    3675
  • (v)
    3674
Question 15
15.
Two numbers are in the ratio 4 : 12. If 12 is added to each number, the ratio becomes 3 : 7. Find the numbers.
  • (i)
    20
    :
    60
  • (ii)
    24
    :
    72
  • (iii)
    28
    :
    84
  • (iv)
    16
    :
    48
  • (v)
    32
    :
    96
Question 16
16.
The ratio of two numbers is
1
:
2
and their LCM is 12. Find the numbers.
  • (i)
    4
    :
    8
  • (ii)
    7
    :
    14
  • (iii)
    5
    :
    10
  • (iv)
    6
    :
    12
  • (v)
    8
    :
    16
Question 17
17.
    • If
    • 6
    • A =
    • 2
    • B =
    • 8
    • C,
    • find A : B : C
  • (i)
    4
    :
    9
    :
    3
  • (ii)
    4
    :
    15
    :
    3
  • (iii)
    3
    :
    12
    :
    3
  • (iv)
    4
    :
    12
    :
    3
  • (v)
    5
    :
    12
    :
    3
Question 18
18.
    • If
    •  
    • A

      3
    • =
    • B

      8
    • =
    • C

      9
    • ,
    • find A : B : C
  • (i)
    3
    :
    8
    :
    9
  • (ii)
    3
    :
    10
    :
    9
  • (iii)
    3
    :
    5
    :
    9
  • (iv)
    4
    :
    8
    :
    9
  • (v)
    2
    :
    8
    :
    9
Question 19
19.
    • If
    • 9
    • A =
    • 7
    • B and
    • 3
    • B =
    • 2
    • C,
    • find A : C
  • (i)
    14
    :
    25
  • (ii)
    14
    :
    29
  • (iii)
    13
    :
    27
  • (iv)
    15
    :
    27
  • (v)
    14
    :
    27
Question 20
20.
    • Divide 3219 in the ratio
    • 3

      4
      :
      7

      3
  • (i)
    783 , 2434
  • (ii)
    783 , 2438
  • (iii)
    784 , 2436
  • (iv)
    783 , 2436
  • (v)
    782 , 2436
Question 21
21.
    • Divide 3346 in the ratio
    • 3

      7
      :
      7

      4
      :
      2

      3
  • (i)
    504 , 2060 , 784
  • (ii)
    505 , 2058 , 784
  • (iii)
    504 , 2056 , 784
  • (iv)
    504 , 2058 , 784
  • (v)
    503 , 2058 , 784
Question 22
22.
Two numbers are in the ratio 8 : 3 and their difference is 105. Find the numbers.
  • (i)
    168,63
  • (ii)
    168,61
  • (iii)
    168,66
  • (iv)
    167,63
  • (v)
    169,63
Question 23
23.
An office contains 1407 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 5 : 6 : 3 : 7. The number of managers in the office =
  • (i)
    333
  • (ii)
    335
  • (iii)
    336
  • (iv)
    334
  • (v)
    338
Question 24
24.
An office contains 273 managers, 117 team leaders, 39 developers and 156 testers. The ratio of all employees in the office =
  • (i)
    6
    :
    3
    :
    1
    :
    4
  • (ii)
    7
    :
    6
    :
    1
    :
    4
  • (iii)
    7
    :
    3
    :
    1
    :
    4
  • (iv)
    8
    :
    3
    :
    1
    :
    4
  • (v)
    7
    :
    1
    :
    1
    :
    4
Question 25
25.
An office contains 46 managers, 138 team leaders, 230 developers and 322 testers. The ratio of managers and team leaders =
  • (i)
    1
    :
    3
  • (ii)
    2
    :
    3
  • (iii)
    1
    :
    0
  • (iv)
    0
    :
    3
  • (v)
    1
    :
    5
Question 26
26.
An office contains 280 managers, 490 team leaders, 420 developers and 70 testers. The ratio of managers to the total employees =
  • (i)
    2
    :
    6
  • (ii)
    3
    :
    9
  • (iii)
    2
    :
    12
  • (iv)
    1
    :
    9
  • (v)
    2
    :
    9
Question 27
27.
A box contains 162 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 1 : 3 : 5. The number of mangoes in the box =
  • (i)
    20
  • (ii)
    16
  • (iii)
    17
  • (iv)
    19
  • (v)
    18
Question 28
28.
A box contains 138 mangoes, 161 apples and 23 oranges. The ratio of all fruits in the box =
  • (i)
    5
    :
    7
    :
    1
  • (ii)
    6
    :
    7
    :
    1
  • (iii)
    6
    :
    5
    :
    1
  • (iv)
    7
    :
    7
    :
    1
  • (v)
    6
    :
    10
    :
    1
Question 29
29.
A box contains 72 mangoes, 48 apples and 24 oranges. The ratio of mangoes and apples =
  • (i)
    3
    :
    4
  • (ii)
    4
    :
    2
  • (iii)
    3
    :
    2
  • (iv)
    2
    :
    2
  • (v)
    3
    :
    0
Question 30
30.
A box contains 306 mangoes, 255 apples and 204 oranges. The ratio of mangoes to the total fruits =
  • (i)
    3
    :
    5
  • (ii)
    2
    :
    3
  • (iii)
    1
    :
    5
  • (iv)
    2
    :
    5
  • (v)
    2
    :
    7
Question 31
31.
A box contains 364 pens and 52 pencils. The ratio of all stationary items in the box =
  • (i)
    7
    :
    4
  • (ii)
    8
    :
    1
  • (iii)
    7
    :
    -1
  • (iv)
    7
    :
    1
  • (v)
    6
    :
    1
Question 32
32.
A box contains 70 pens and 420 pencils. The ratio of pens to the total stationary items =
  • (i)
    0
    :
    7
  • (ii)
    1
    :
    7
  • (iii)
    1
    :
    5
  • (iv)
    1
    :
    9
  • (v)
    2
    :
    7
Question 33
33.
A box contains 84 pens and 60 pencils. The ratio of pencils to the total stationary items =
  • (i)
    5
    :
    10
  • (ii)
    5
    :
    14
  • (iii)
    6
    :
    12
  • (iv)
    4
    :
    12
  • (v)
    5
    :
    12
    Assignment Key

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