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
    • 209
    • litres,
    • the ratio of milk and water is
    • 5 : 6
    • .
    • How much water must be added
    • to this mixture to make the ratio
    • 95 : 194
    • ?
  • (i)
    80
  • (ii)
    79
  • (iii)
    81
  • (iv)
    77
  • (v)
    83
Question 2
2.
The ratio of males to females in a committee of 272 members is 11 : 5. How many more ladies should be added to the committee so that the ratio of males to females is 187 : 133?
  • (i)
    48
  • (ii)
    50
  • (iii)
    49
  • (iv)
    46
  • (v)
    47
Question 3
3.
    • An employer reduces the number of
    • employees in the ratio of
    • 11 : 7
    • and increases their wages
    • in the ratio
    • 10 : 17
    • .
    • In what ratio, the wage bill is increased or decreased?
  • (i)
    110
    :
    117
  • (ii)
    110
    :
    119
  • (iii)
    110
    :
    122
  • (iv)
    109
    :
    119
Question 4
4.
The work done by (3x + 1) men in (7x + 1) days and work done by (17x + 1) men in (x + 1) days is in the ratio of 1 : 1 . Find the value of x
  • (i)
    2
  • (ii)
    3
  • (iii)
    1
  • (iv)
    5
  • (v)
    (-1)
Question 5
5.
A man reduces his weight in the ratio 17 : 13. What is his weight now, if originally he was 52 kg ?
  • (i)
    677

    17
    kg
  • (ii)
    678

    17
    kg
  • (iii)
    710

    17
    kg
  • (iv)
    693

    17
    kg
  • (v)
    676

    17
    kg
Question 6
6.
A certain amount has been divided into two parts in the ratio 3 : 7. If the first part is 108, find the total amount.
  • (i)
    360
  • (ii)
    358
  • (iii)
    359
  • (iv)
    363
  • (v)
    361
Question 7
7.
    • Divide
    • ₹61200
    • into three parts
    • such that the first one is
    • 4

      9
    • of the second
    • and ratio between second and the third is
    • 9 : 4
  • (i)
    14400.00
    :
    14400.00
    :
    32400.00
  • (ii)
    14400.00
    :
    32400.00
    :
    32400.00
  • (iii)
    14400.00
    :
    32400.00
    :
    14400.00
  • (iv)
    32400.00
    :
    14400.00
    :
    14400.00
Question 8
8.
    • Increase
    • 558
    • in the ratio
    • 18 : 21
  • (i)
    653
  • (ii)
    650
  • (iii)
    648
  • (iv)
    652
  • (v)
    651
Question 9
9.
    • Divide
    • ₹10600
    • among A,B,C so that
    • A shall receive
    • 18

      35
    • of what B and C together recieve
    • and B may receive
    • 15

      38
    • of what A and C receive
  • (i)
    4000.00
    :
    3600.00
    :
    3000.00
  • (ii)
    3600.00
    :
    3000.00
    :
    3000.00
  • (iii)
    3600.00
    :
    3000.00
    :
    4000.00
  • (iv)
    3600.00
    :
    4000.00
    :
    3000.00
  • (v)
    3000.00
    :
    4000.00
    :
    3600.00
Question 10
10.
A bag contains ₹2580 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 16 : 20 : 9. Find the number of coins of each type
  • (i)
    320 , 400 , 180
  • (ii)
    318 , 405 , 180
  • (iii)
    319 , 400 , 185
  • (iv)
    321 , 405 , 175
  • (v)
    322 , 395 , 180
Question 11
11.
    • In an examination, the ratio of passes to failures was 9 : 4.
    • Had 175 less appeared and 20 less passed, the ratio of passes to failures would have been 140 : 33.
    • How many students appeared for the examination?
  • (i)
    1045
  • (ii)
    1050
  • (iii)
    1040
  • (iv)
    1035
  • (v)
    1030
Question 12
12.
    • What number must be added to each term of the ratio
    • 40
      :
      180
    • to make it
    • 15
      :
      22
    • ?
  • (i)
    260
  • (ii)
    259
  • (iii)
    263
  • (iv)
    261
  • (v)
    257
Question 13
13.
A ratio is equal to 49 : 5. If its antecendent is 3675, what is its consequent?
  • (i)
    376
  • (ii)
    374
  • (iii)
    375
  • (iv)
    373
  • (v)
    377
Question 14
14.
A ratio is equal to 2 : 25. If its consequent is 1750, what is its antecendent?
  • (i)
    139
  • (ii)
    137
  • (iii)
    141
  • (iv)
    140
  • (v)
    142
Question 15
15.
Two numbers are in the ratio 3 : 8. If 18 is added to each number, the ratio becomes 21 : 46. Find the numbers.
  • (i)
    45
    :
    120
  • (ii)
    51
    :
    136
  • (iii)
    42
    :
    112
  • (iv)
    39
    :
    104
  • (v)
    48
    :
    128
Question 16
16.
The ratio of two numbers is
4
:
1
and their LCM is 36. Find the numbers.
  • (i)
    36
    :
    9
  • (ii)
    44
    :
    11
  • (iii)
    40
    :
    10
  • (iv)
    32
    :
    8
  • (v)
    28
    :
    7
Question 17
17.
    • If
    • 5
    • A =
    • 4
    • B =
    • 9
    • C,
    • find A : B : C
  • (i)
    36
    :
    42
    :
    20
  • (ii)
    36
    :
    45
    :
    20
  • (iii)
    36
    :
    48
    :
    20
  • (iv)
    37
    :
    45
    :
    20
  • (v)
    35
    :
    45
    :
    20
Question 18
18.
    • If
    •  
    • A

      6
    • =
    • B

      9
    • =
    • C

      4
    • ,
    • find A : B : C
  • (i)
    6
    :
    9
    :
    4
  • (ii)
    6
    :
    7
    :
    4
  • (iii)
    6
    :
    12
    :
    4
  • (iv)
    7
    :
    9
    :
    4
  • (v)
    5
    :
    9
    :
    4
Question 19
19.
    • If
    • 4
    • A =
    • 3
    • B and
    • 7
    • B =
    • 5
    • C,
    • find A : C
  • (i)
    15
    :
    28
  • (ii)
    15
    :
    30
  • (iii)
    16
    :
    28
  • (iv)
    14
    :
    28
  • (v)
    15
    :
    25
Question 20
20.
    • Divide 1323 in the ratio
    • 1

      8
      :
      5

      9
  • (i)
    242 , 1080
  • (ii)
    243 , 1080
  • (iii)
    243 , 1082
  • (iv)
    243 , 1078
  • (v)
    244 , 1080
Question 21
21.
    • Divide 1088 in the ratio
    • 8

      3
      :
      8

      9
      :
      2

      9
  • (i)
    768 , 256 , 64
  • (ii)
    768 , 254 , 64
  • (iii)
    769 , 256 , 64
  • (iv)
    768 , 258 , 64
  • (v)
    767 , 256 , 64
Question 22
22.
Two numbers are in the ratio 8 : 3 and their difference is 105. Find the numbers.
  • (i)
    168,61
  • (ii)
    169,63
  • (iii)
    168,63
  • (iv)
    167,63
  • (v)
    168,65
Question 23
23.
An office contains 832 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 4 : 6 : 1 : 5. The number of managers in the office =
  • (i)
    209
  • (ii)
    207
  • (iii)
    208
  • (iv)
    206
  • (v)
    211
Question 24
24.
An office contains 37 managers, 222 team leaders, 148 developers and 222 testers. The ratio of all employees in the office =
  • (i)
    1
    :
    6
    :
    4
    :
    6
  • (ii)
    1
    :
    3
    :
    4
    :
    6
  • (iii)
    0
    :
    6
    :
    4
    :
    6
  • (iv)
    1
    :
    9
    :
    4
    :
    6
  • (v)
    2
    :
    6
    :
    4
    :
    6
Question 25
25.
An office contains 118 managers, 177 team leaders, 236 developers and 295 testers. The ratio of managers and team leaders =
  • (i)
    3
    :
    3
  • (ii)
    2
    :
    3
  • (iii)
    2
    :
    6
  • (iv)
    2
    :
    1
  • (v)
    1
    :
    3
Question 26
26.
An office contains 124 managers, 372 team leaders, 124 developers and 434 testers. The ratio of managers to the total employees =
  • (i)
    1
    :
    17
  • (ii)
    3
    :
    17
  • (iii)
    2
    :
    17
  • (iv)
    2
    :
    20
  • (v)
    2
    :
    14
Question 27
27.
A box contains 90 fruits of 3 types. The mangoes, apples, and oranges are in the ratio 3 : 2 : 4. The number of mangoes in the box =
  • (i)
    29
  • (ii)
    33
  • (iii)
    30
  • (iv)
    27
  • (v)
    31
Question 28
28.
A box contains 38 mangoes, 19 apples and 114 oranges. The ratio of all fruits in the box =
  • (i)
    3
    :
    1
    :
    6
  • (ii)
    2
    :
    1
    :
    6
  • (iii)
    2
    :
    -1
    :
    6
  • (iv)
    2
    :
    3
    :
    6
  • (v)
    1
    :
    1
    :
    6
Question 29
29.
A box contains 225 mangoes, 90 apples and 270 oranges. The ratio of mangoes and apples =
  • (i)
    5
    :
    2
  • (ii)
    5
    :
    5
  • (iii)
    6
    :
    2
  • (iv)
    4
    :
    2
  • (v)
    5
    :
    0
Question 30
30.
A box contains 41 mangoes, 82 apples and 246 oranges. The ratio of mangoes to the total fruits =
  • (i)
    1
    :
    9
  • (ii)
    2
    :
    9
  • (iii)
    1
    :
    11
  • (iv)
    1
    :
    6
  • (v)
    0
    :
    9
Question 31
31.
A box contains 93 pens and 124 pencils. The ratio of all stationary items in the box =
  • (i)
    3
    :
    2
  • (ii)
    3
    :
    6
  • (iii)
    2
    :
    4
  • (iv)
    4
    :
    4
  • (v)
    3
    :
    4
Question 32
32.
A box contains 72 pens and 48 pencils. The ratio of pens to the total stationary items =
  • (i)
    3
    :
    5
  • (ii)
    3
    :
    2
  • (iii)
    4
    :
    5
  • (iv)
    2
    :
    5
  • (v)
    3
    :
    8
Question 33
33.
A box contains 195 pens and 65 pencils. The ratio of pencils to the total stationary items =
  • (i)
    2
    :
    4
  • (ii)
    1
    :
    4
  • (iii)
    1
    :
    1
  • (iv)
    0
    :
    4
  • (v)
    1
    :
    6
    Assignment Key

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