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
    • 120
    • litres,
    • the ratio of milk and water is
    • 7 : 3
    • .
    • How much water must be added
    • to this mixture to make the ratio
    • 0 : 420
    • ?
  • (i)
    45
  • (ii)
    49
  • (iii)
    47
  • (iv)
    50
  • (v)
    48
Question 2
2.
The ratio of males to females in a committee of 165 members is 4 : 7. How many more ladies should be added to the committee so that the ratio of males to females is 20 : 53?
  • (i)
    53
  • (ii)
    52
  • (iii)
    57
  • (iv)
    54
  • (v)
    55
Question 3
3.
    • An employer reduces the number of
    • employees in the ratio of
    • 7 : 3
    • and increases their wages
    • in the ratio
    • 2 : 13
    • .
    • In what ratio, the wage bill is increased or decreased?
  • (i)
    14
    :
    41
  • (ii)
    14
    :
    37
  • (iii)
    14
    :
    39
  • (iv)
    13
    :
    39
Question 4
4.
The work done by (12x + 1) men in (2x) days and work done by (5x) men in (7x) days is in the ratio of 5 : 7 . Find the value of x
  • (i)
    2
  • (ii)
    5
  • (iii)
    1
  • (iv)
    (-1)
  • (v)
    3
Question 5
5.
A man reduces his weight in the ratio 16 : 13. What is his weight now, if originally he was 65 kg ?
  • (i)
    423

    8
    kg
  • (ii)
    847

    16
    kg
  • (iii)
    877

    16
    kg
  • (iv)
    845

    16
    kg
  • (v)
    861

    16
    kg
Question 6
6.
A certain amount has been divided into two parts in the ratio 7 : 6. If the first part is 259, find the total amount.
  • (i)
    483
  • (ii)
    479
  • (iii)
    481
  • (iv)
    480
  • (v)
    482
Question 7
7.
    • Divide
    • ₹33600
    • into three parts
    • such that the first one is
    • 1

      2
    • of the second
    • and ratio between second and the third is
    • 1 : 2
  • (i)
    9600.00
    :
    19200.00
    :
    4800.00
  • (ii)
    19200.00
    :
    4800.00
    :
    9600.00
  • (iii)
    4800.00
    :
    19200.00
    :
    9600.00
  • (iv)
    4800.00
    :
    9600.00
    :
    19200.00
  • (v)
    4800.00
    :
    9600.00
    :
    9600.00
Question 8
8.
    • Increase
    • 540
    • in the ratio
    • 9 : 15
  • (i)
    899
  • (ii)
    902
  • (iii)
    897
  • (iv)
    901
  • (v)
    900
Question 9
9.
    • Divide
    • ₹45600
    • among A,B,C so that
    • A shall receive
    • 4

      15
    • of what B and C together recieve
    • and B may receive
    • 8

      11
    • of what A and C receive
  • (i)
    19200.00
    :
    16800.00
    :
    9600.00
  • (ii)
    9600.00
    :
    19200.00
    :
    16800.00
  • (iii)
    9600.00
    :
    19200.00
    :
    19200.00
  • (iv)
    9600.00
    :
    16800.00
    :
    19200.00
  • (v)
    16800.00
    :
    9600.00
    :
    19200.00
Question 10
10.
A bag contains ₹1300 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 15 : 7 : 11. Find the number of coins of each type
  • (i)
    193 , 96 , 143
  • (ii)
    197 , 86 , 143
  • (iii)
    195 , 91 , 143
  • (iv)
    196 , 96 , 138
  • (v)
    194 , 91 , 148
Question 11
11.
    • In an examination, the ratio of passes to failures was 3 : 1.
    • Had 25 less appeared and 20 less passed, the ratio of passes to failures would have been 20 : 7.
    • How many students appeared for the examination?
  • (i)
    160
  • (ii)
    150
  • (iii)
    170
  • (iv)
    155
  • (v)
    165
Question 12
12.
    • What number must be added to each term of the ratio
    • 144
      :
      234
    • to make it
    • 27
      :
      32
    • ?
  • (i)
    339
  • (ii)
    343
  • (iii)
    342
  • (iv)
    344
  • (v)
    341
Question 13
13.
A ratio is equal to 17 : 10. If its antecendent is 3808, what is its consequent?
  • (i)
    2240
  • (ii)
    2237
  • (iii)
    2239
  • (iv)
    2241
  • (v)
    2243
Question 14
14.
A ratio is equal to 7 : 10. If its consequent is 1000, what is its antecendent?
  • (i)
    699
  • (ii)
    703
  • (iii)
    701
  • (iv)
    698
  • (v)
    700
Question 15
15.
Two numbers are in the ratio 6 : 13. If 20 is added to each number, the ratio becomes 22 : 43. Find the numbers.
  • (i)
    84
    :
    182
  • (ii)
    102
    :
    221
  • (iii)
    90
    :
    195
  • (iv)
    96
    :
    208
  • (v)
    78
    :
    169
Question 16
16.
The ratio of two numbers is
3
:
2
and their LCM is 72. Find the numbers.
  • (i)
    39
    :
    26
  • (ii)
    36
    :
    24
  • (iii)
    33
    :
    22
  • (iv)
    42
    :
    28
  • (v)
    30
    :
    20
Question 17
17.
    • If
    • 5
    • A =
    • 4
    • B =
    • 7
    • C,
    • find A : B : C
  • (i)
    28
    :
    37
    :
    20
  • (ii)
    29
    :
    35
    :
    20
  • (iii)
    28
    :
    33
    :
    20
  • (iv)
    27
    :
    35
    :
    20
  • (v)
    28
    :
    35
    :
    20
Question 18
18.
    • If
    •  
    • A

      3
    • =
    • B

      5
    • =
    • C

      7
    • ,
    • find A : B : C
  • (i)
    2
    :
    5
    :
    7
  • (ii)
    4
    :
    5
    :
    7
  • (iii)
    3
    :
    8
    :
    7
  • (iv)
    3
    :
    5
    :
    7
  • (v)
    3
    :
    3
    :
    7
Question 19
19.
    • If
    • 9
    • A =
    • 5
    • B and
    • 2
    • B =
    • 3
    • C,
    • find A : C
  • (i)
    5
    :
    4
  • (ii)
    5
    :
    6
  • (iii)
    6
    :
    6
  • (iv)
    4
    :
    6
  • (v)
    5
    :
    8
Question 20
20.
    • Divide 3286 in the ratio
    • 4

      3
      :
      7

      8
  • (i)
    1983 , 1302
  • (ii)
    1985 , 1302
  • (iii)
    1984 , 1304
  • (iv)
    1984 , 1300
  • (v)
    1984 , 1302
Question 21
21.
    • Divide 17168 in the ratio
    • 2

      5
      :
      2

      3
      :
      8

      7
  • (i)
    3108 , 5180 , 8880
  • (ii)
    3108 , 5178 , 8880
  • (iii)
    3109 , 5180 , 8880
  • (iv)
    3108 , 5183 , 8880
  • (v)
    3107 , 5180 , 8880
Question 22
22.
Two numbers are in the ratio 7 : 3 and their difference is 84. Find the numbers.
  • (i)
    147,63
  • (ii)
    146,63
  • (iii)
    147,65
  • (iv)
    147,61
  • (v)
    148,63
Question 23
23.
An office contains 480 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 6 : 3 : 1 : 2. The number of managers in the office =
  • (i)
    241
  • (ii)
    239
  • (iii)
    238
  • (iv)
    240
  • (v)
    242
Question 24
24.
An office contains 276 managers, 345 team leaders, 138 developers and 69 testers. The ratio of all employees in the office =
  • (i)
    3
    :
    5
    :
    2
    :
    1
  • (ii)
    4
    :
    5
    :
    2
    :
    1
  • (iii)
    5
    :
    5
    :
    2
    :
    1
  • (iv)
    4
    :
    3
    :
    2
    :
    1
  • (v)
    4
    :
    7
    :
    2
    :
    1
Question 25
25.
An office contains 55 managers, 44 team leaders, 77 developers and 22 testers. The ratio of managers and team leaders =
  • (i)
    5
    :
    6
  • (ii)
    5
    :
    4
  • (iii)
    4
    :
    4
  • (iv)
    5
    :
    2
  • (v)
    6
    :
    4
Question 26
26.
An office contains 45 managers, 270 team leaders, 135 developers and 45 testers. The ratio of managers to the total employees =
  • (i)
    0
    :
    11
  • (ii)
    1
    :
    14
  • (iii)
    1
    :
    11
  • (iv)
    1
    :
    8
  • (v)
    2
    :
    11
Question 27
27.
A box contains 752 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 6 : 3 : 7. The number of mangoes in the box =
  • (i)
    282
  • (ii)
    284
  • (iii)
    279
  • (iv)
    283
  • (v)
    281
Question 28
28.
A box contains 264 mangoes, 66 apples and 396 oranges. The ratio of all fruits in the box =
  • (i)
    3
    :
    1
    :
    6
  • (ii)
    4
    :
    4
    :
    6
  • (iii)
    5
    :
    1
    :
    6
  • (iv)
    4
    :
    -2
    :
    6
  • (v)
    4
    :
    1
    :
    6
Question 29
29.
A box contains 62 mangoes, 124 apples and 31 oranges. The ratio of mangoes and apples =
  • (i)
    1
    :
    4
  • (ii)
    0
    :
    2
  • (iii)
    1
    :
    2
  • (iv)
    2
    :
    2
  • (v)
    1
    :
    0
Question 30
30.
A box contains 112 mangoes, 32 apples and 16 oranges. The ratio of mangoes to the total fruits =
  • (i)
    7
    :
    10
  • (ii)
    7
    :
    8
  • (iii)
    6
    :
    10
  • (iv)
    7
    :
    12
  • (v)
    8
    :
    10
Question 31
31.
A box contains 210 pens and 252 pencils. The ratio of all stationary items in the box =
  • (i)
    6
    :
    6
  • (ii)
    4
    :
    6
  • (iii)
    5
    :
    9
  • (iv)
    5
    :
    3
  • (v)
    5
    :
    6
Question 32
32.
A box contains 129 pens and 43 pencils. The ratio of pens to the total stationary items =
  • (i)
    2
    :
    4
  • (ii)
    3
    :
    4
  • (iii)
    4
    :
    4
  • (iv)
    3
    :
    2
  • (v)
    3
    :
    7
Question 33
33.
A box contains 132 pens and 330 pencils. The ratio of pencils to the total stationary items =
  • (i)
    5
    :
    4
  • (ii)
    6
    :
    7
  • (iii)
    5
    :
    10
  • (iv)
    5
    :
    7
  • (v)
    4
    :
    7
    Assignment Key

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