EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Direct and Inverse Proportions
Grade : SSC Grade VIII
License : Non Commercial Use
Question 1
1.
A train from Calcutta travelling at a speed of 40kmph reaches Chennai in 8hr. If the train travels at the speed of 32kmph, what is the time taken to reach Chennai?
  • (i)
    11 hr
  • (ii)
    9 hr
  • (iii)
    10 hr
  • (iv)
    8 hr
  • (v)
    12 hr
Question 2
2.
The sales tax for ₹100 of a bill is ₹13. How much sales tax has to be paid for a bill of ₹435 ?
  • (i)
    ₹51.55
  • (ii)
    ₹61.55
  • (iii)
    ₹56.55
  • (iv)
    ₹59.55
  • (v)
    ₹53.55
Question 3
3.
If the cost of 57 apples is ₹570.00, the cost of 140 apples =
  • (i)
    ₹1230.00
  • (ii)
    ₹1400.00
  • (iii)
    ₹1220.00
  • (iv)
    ₹1430.00
  • (v)
    ₹1640.00
Question 4
4.
If 19 men can make 57 candles in a day, how many men are needed to make 75 candles in a day?
  • (i)
    24
  • (ii)
    25
  • (iii)
    27
  • (iv)
    22
  • (v)
    26
Question 5
5.
To irrigate 11 acres of a field, 80000 l of water is needed. If 6 more acres are brought under cultivation, how many lts of water is needed?
  • (i)
    150636.36 l
  • (ii)
    105636.36 l
  • (iii)
    130636.36 l
  • (iv)
    123636.36 l
  • (v)
    108636.36 l
Question 6
6.
In a hostel mess there are provisions enough for 11 students for 20 days. If 8 more students join the hostel, how long will the provisions last ?
  • (i)
    16.58 days
  • (ii)
    14.58 days
  • (iii)
    11.58 days
  • (iv)
    6.58 days
  • (v)
    8.58 days
Question 7
7.
20 workers take 11 days to build a room. After working for 5 days, 13 workers left. In how many more days is the room built ?
  • (i)
    20.14 days
  • (ii)
    14.14 days
  • (iii)
    22.14 days
  • (iv)
    17.14 days
  • (v)
    12.14 days
Question 8
8.
If Murali can read 32 pages in a 160 pages book in 2 hr, how much more time will it take to complete the book?
  • (i)
    10 hr
  • (ii)
    9 hr
  • (iii)
    7 hr
  • (iv)
    8 hr
  • (v)
    6 hr
Question 9
9.
The specification on a printer says that it prints 2250 pages in 25 min. If 8100 pages have to be printed, how long will it take ?
  • (i)
    93 min
  • (ii)
    90 min
  • (iii)
    85 min
  • (iv)
    95 min
  • (v)
    87 min
Question 10
10.
    • The slab rates of a city's water department are as follows
    • Low Val (kl)
      -
      High Val (kl)
      Rate Rs/kl
      0
      -
      40
      15
      40
      -
      70
      20
      70
      -
      80
      25
      80
      -
      remaining
      30
    • How much amount has to be paid if the consumption is
    • 23 kl
    • .
  • (i)
    ₹330
  • (ii)
    ₹361
  • (iii)
    ₹343
  • (iv)
    ₹362
  • (v)
    ₹345
Question 11
11.
The cost of 7 dozen bananas is ₹287. What is the cost of 17 dozens ?
  • (i)
    ₹715
  • (ii)
    ₹689
  • (iii)
    ₹697
  • (iv)
    ₹722
  • (v)
    ₹671
Question 12
12.
If 70 men can do a piece of work in 75 days, how many men can do the same work in 105 days?
  • (i)
    49
  • (ii)
    51
  • (iii)
    50
  • (iv)
    52
  • (v)
    48
Question 13
13.
    • 11
    • men can do a work in
    • 10
    • days working
    • 3
    • hours a day.
    • In how many days can
    • 18
    • men do the same work, working
    • 7
    • hours a day?
  • (i)
    2
    5

    7
    days
  • (ii)
    2
    13

    21
    days
  • (iii)
    2
    13

    23
    days
  • (iv)
    2
    13

    19
    days
  • (v)
    2
    11

    21
    days
Question 14
14.
In an eating contest, the eating capacities of A, B and C are 5 gm/sec, 7 gm/sec and 10 gm/sec respectively. If the amount of food to be eaten is 17.16 kg, in how much time is it consumed if all three participants start eating together ?
  • (i)
    15
    min
  • (ii)
    13
    min
  • (iii)
    14
    min
  • (iv)
    12
    min
  • (v)
    10
    min
Question 15
15.
If 9 toys cost ₹81, how many toys can be purchased with ₹297?
  • (i)
    32
  • (ii)
    34
  • (iii)
    33
  • (iv)
    30
  • (v)
    35
Question 16
16.
If 7 dolls cost ₹56, how much will 27 dolls cost?
  • (i)
    ₹231
  • (ii)
    ₹194
  • (iii)
    ₹244
  • (iv)
    ₹216
  • (v)
    ₹212
Question 17
17.
If Surya can read 361 pages in 19 hr, he can read 228 pages in how many hours?
  • (i)
    9 hr
  • (ii)
    7 hr
  • (iii)
    17 hr
  • (iv)
    12 hr
  • (v)
    15 hr
Question 18
18.
A group of pilgrims have to cover 15 km to reach a shrine. They walk 10 km in 18 hr. At what speed they have to walk to cover the remaining distance in 15 hr ?
  • (i)
    0.33 kmph
  • (ii)
    1.33 kmph
  • (iii)
    7.33 kmph
  • (iv)
    8.33 kmph
  • (v)
    2.33 kmph
Question 19
19.
If 84 men can do a piece of work in 117 days, 156 men can do the same work in how many days?
  • (i)
    68 days
  • (ii)
    66 days
  • (iii)
    58 days
  • (iv)
    60 days
  • (v)
    63 days
Question 20
20.
    • The slab rates of a city's water department are as follows
    • Low Val (kl)
      -
      High Val (kl)
      Rate Rs/kl
      0
      -
      40
      16
      40
      -
      50
      21
      50
      -
      70
      26
      70
      -
      remaining
      31
    • How much amount has to be paid if the consumption is
    • 63 kl
    • .
  • (i)
    ₹1058
  • (ii)
    ₹1038
  • (iii)
    ₹1258
  • (iv)
    ₹1188
  • (v)
    ₹1368
Question 21
21.
If 15 l of fruit drink costs ₹240, how much of fruit drink costs ₹464?
  • (i)
    32 l
  • (ii)
    26 l
  • (iii)
    29 l
  • (iv)
    34 l
  • (v)
    24 l
Question 22
22.
If the cost of 20 apples is ₹500.00, how many apples can be purchased for ₹4000.00?
  • (i)
    162
  • (ii)
    160
  • (iii)
    157
  • (iv)
    161
  • (v)
    159
Question 23
23.
If a train travelling at 7.56 m/sec speed covers 384.96 m distance in a certain time, at what speed should it travel to cover 439.44 m distance in the same time ?
  • (i)
    8.63 m/sec
  • (ii)
    10.63 m/sec
  • (iii)
    6.63 m/sec
  • (iv)
    7.63 m/sec
  • (v)
    9.63 m/sec
Question 24
24.
    • A certain number of men can do a work in
    • 30
      days
    • .
    • If there were
    • 9
    • men
    • less
    • ,
    • it would take
    • 15
      days
    • more
    • to complete the work.
    • How many men are required to complete the work in
    • 54
      days
    • ?
  • (i)
    16
  • (ii)
    14
  • (iii)
    13
  • (iv)
    17
  • (v)
    15
Question 25
25.
The cost of 14 pens is ₹154 and 15 pencils is ₹75. With an amount of ₹263, 13 pencils are purchased. How many pens can be purchased with the remaining amount ?
  • (i)
    18
  • (ii)
    16
  • (iii)
    20
  • (iv)
    17
  • (v)
    19
    Assignment Key

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