EduSahara™ Assignment
Name : Unitary Method Problems
Chapter : Unitary Method
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If 11 dolls cost ₹77, how much will 28 dolls cost?
(i)
₹196
(ii)
₹179
(iii)
₹193
(iv)
₹221
(v)
₹202
Question
2
2.
If 13 eggs cost ₹117, how many eggs can be purchased with ₹315?
(i)
33
(ii)
36
(iii)
34
(iv)
37
(v)
35
Question
3
3.
If 9 l of puja oil costs ₹108, how much will 39 l cost?
(i)
₹470
(ii)
₹468
(iii)
₹494
(iv)
₹453
(v)
₹445
Question
4
4.
If 15 l of petrol costs ₹240, how much of petrol costs ₹512?
(i)
27 l
(ii)
35 l
(iii)
32 l
(iv)
37 l
(v)
29 l
Question
5
5.
If 14 men can make 98 birthday cakes in a day, how many birthday cakes are made by 18 men in a day?
(i)
125
(ii)
127
(iii)
128
(iv)
126
(v)
124
Question
6
6.
If 16 men can make 64 belts in a day, how many men are needed to make 80 belts in a day?
(i)
22
(ii)
18
(iii)
21
(iv)
20
(v)
19
Question
7
7.
If Ravi can read 204 pages in 12 hr, how many pages can he read in 13 hr?
(i)
222
(ii)
221
(iii)
218
(iv)
220
(v)
224
Question
8
8.
If Jimmy can read 168 pages in 14 hr, he can read 120 pages in how many hours?
(i)
7 hr
(ii)
15 hr
(iii)
13 hr
(iv)
10 hr
(v)
5 hr
Question
9
9.
If Anthony can read 48 pages in a 108 pages book in 4 hr, how much more time will it take to complete the book?
(i)
4 hr
(ii)
3 hr
(iii)
7 hr
(iv)
5 hr
(v)
6 hr
Question
10
10.
If Vinay can make 180 hotdogs in 12 min, in how much time can he complete an order of 420 hotdogs ?
(i)
23 min
(ii)
28 min
(iii)
31 min
(iv)
33 min
(v)
25 min
Question
11
11.
If 98 men can do a piece of work in 180 days, how many men can do the same work in 168 days?
(i)
105
(ii)
108
(iii)
103
(iv)
106
(v)
104
Question
12
12.
If 120 men can do a piece of work in 120 days, 96 men can do the same work in how many days?
(i)
163 days
(ii)
145 days
(iii)
178 days
(iv)
124 days
(v)
150 days
Question
13
13.
If
18
men can build
1
7
of a wall in
32 days
,
in how much more time is the wall completely built ?
(i)
204 days
(ii)
192 days
(iii)
209 days
(iv)
177 days
(v)
188 days
Question
14
14.
A vehicle can cover certain distance in 154 min, running at a speed of 30 kmph. At what speed must the vehicle run to cover the same distance in 55 min?
(i)
79 kmph
(ii)
87 kmph
(iii)
89 kmph
(iv)
84 kmph
(v)
81 kmph
Question
15
15.
A vehicle can cover certain distance in 70 min, running at a speed of 165 kmph. In how many minutes, the vehicle covers the same distance running at a speed of 150 kmph?
(i)
77 min
(ii)
74 min
(iii)
72 min
(iv)
80 min
(v)
82 min
Question
16
16.
A person has to travel from one town to another town which is at a distance of 720 km. He covers 330 km in 11 hr. In how much more time will he reach his destination?
(i)
16 hr
(ii)
8 hr
(iii)
18 hr
(iv)
10 hr
(v)
13 hr
Question
17
17.
The cost of 18 kg of carrots is ₹432. How many kgs of carrots can be purchased with ₹504 ?
(i)
24 kg
(ii)
16 kg
(iii)
21 kg
(iv)
18 kg
(v)
26 kg
Question
18
18.
The cost of 20 kg of chillies is ₹580. How much has to be paid to purchase 14 kg of chillies ?
(i)
₹399
(ii)
₹406
(iii)
₹433
(iv)
₹422
(v)
₹394
Question
19
19.
The weight of 13 rounds of copper wire is 338 kg. How many rounds of copper wire is present in 624 kg?
(i)
23
(ii)
24
(iii)
25
(iv)
21
(v)
26
Question
20
20.
32 men can dig a canal in 168 days working for 13 hr per day. How many men are required to complete the work in 104 days working for 12 hr per day?
(i)
56
(ii)
57
(iii)
59
(iv)
53
(v)
55
Question
21
21.
18 men can dig a trench in 11 days. But after working for 9 days, 6 men left. How many more days are required to complete the work?
(i)
5
days
(ii)
0
days
(iii)
2
days
(iv)
3
days
(v)
4
days
Question
22
22.
In a hostel mess there are provisions enough for 15 students for 15 days. If 10 more students join the hostel, how long will the provisions last ?
(i)
10.00 days
(ii)
8.00 days
(iii)
11.00 days
(iv)
9.00 days
(v)
7.00 days
Question
23
23.
In a hostel mess, there are provisions enough for 16 students for 19 days. After 9 days, 7 students left. How many more days will the provisions last ?
(i)
17.78 days
(ii)
14.78 days
(iii)
20.78 days
(iv)
22.78 days
(v)
12.78 days
Question
24
24.
A bus ticket fare for 16 km costs ₹71. How much is the fare for 18 km?
(i)
₹76.88
(ii)
₹84.88
(iii)
₹74.88
(iv)
₹82.88
(v)
₹79.88
Question
25
25.
The cost of 15 pens is ₹255 and 13 pencils is ₹65. With an amount of ₹288, 10 pencils are purchased. How many pens can be purchased with the remaining amount ?
(i)
12
(ii)
15
(iii)
16
(iv)
13
(v)
14
Question
26
26.
The cost of 19 pens is ₹380 and 12 pencils is ₹72. With an amount of ₹382, 14 pens are purchased. How many pencils can be purchased with the remaining amount ?
(i)
16
(ii)
18
(iii)
19
(iv)
14
(v)
17
Question
27
27.
The sales tax for ₹100 of a bill is ₹10. How much sales tax has to be paid for a bill of ₹431 ?
(i)
₹48.10
(ii)
₹40.10
(iii)
₹46.10
(iv)
₹43.10
(v)
₹38.10
Question
28
28.
A group of pilgrims have to cover 22 km to reach a shrine. They walk 11 km in 10 hr. At what speed they have to walk to cover the remaining distance in 5 hr ?
(i)
1.20 kmph
(ii)
3.20 kmph
(iii)
0.20 kmph
(iv)
4.20 kmph
(v)
2.20 kmph
Question
29
29.
To stitch a shirt, 142 cm of cloth is needed. How much cloth is needed to stitch 8 shirts ?
(i)
906 cm
(ii)
1076 cm
(iii)
1296 cm
(iv)
1136 cm
(v)
1406 cm
Question
30
30.
18 m of cloth is required to stitch 5 dresses. How many meters of cloth is required to stitch 19 dresses?
(i)
68.40 m
(ii)
63.40 m
(iii)
65.40 m
(iv)
71.40 m
(v)
73.40 m
Question
31
31.
The cost of 6 dozen bananas is ₹210. What is the cost of 26 dozens ?
(i)
₹884
(ii)
₹932
(iii)
₹912
(iv)
₹910
(v)
₹893
Question
32
32.
20 mangoes weigh 10 kg. If 6 mangoes are needed, how many kgs have to be purchased?
(i)
2.00 kg
(ii)
1.00 kg
(iii)
3.00 kg
(iv)
4.00 kg
(v)
5.00 kg
Question
33
33.
70 men or 40 women can earn ₹2800 per day. How much is earned by 16 men and 10 women in a day?
(i)
₹1170
(ii)
₹1600
(iii)
₹1480
(iv)
₹1190
(v)
₹1340
Question
34
34.
The total wage of 19 labourers for 15 days is ₹139650. What will be the total wage of 16 labourers for 13 days ?
(i)
₹115920
(ii)
₹84920
(iii)
₹76920
(iv)
₹101920
(v)
₹103920
Question
35
35.
30 artisans can make 50 idols in 20 days. How many artisans are required to make 72 idols in 32 days ?
(i)
28
(ii)
26
(iii)
29
(iv)
27
(v)
25
Question
36
36.
12 workers working for 3 hr per day can dig a pit in 90 days. How many days are needed for 18 workers working 10 hr per day to dig the same pit?
(i)
23 days
(ii)
21 days
(iii)
15 days
(iv)
13 days
(v)
18 days
Question
37
37.
8 cows eat 2080 kg of grass in 13 days. How much of grass has to be procured to feed 9 cows for 5 days ?
(i)
912 kg
(ii)
900 kg
(iii)
877 kg
(iv)
914 kg
(v)
882 kg
Question
38
38.
Cost of 10 toys of TypeA is ₹80 and 12 toys of TypeB is ₹156. Out of a sum of ₹187, 15 toys of TypeA are purchased. If 9 toys of TypeB have to be purchased, how much extra amount is needed?
(i)
₹45
(ii)
₹50
(iii)
₹47
(iv)
₹53
(v)
₹55
Question
39
39.
2 men can make 84 baskets in 6 days. 2 women can make 60 baskets in 10 days. How many baskets are made by 5 men and 10 women in 8 days ?
(i)
519
(ii)
521
(iii)
520
(iv)
517
(v)
522
Question
40
40.
To irrigate 13 acres of a field, 60000 l of water is needed. If 8 more acres are brought under cultivation, how many lts of water is needed?
(i)
98123.08 l
(ii)
97423.08 l
(iii)
94523.08 l
(iv)
96923.08 l
(v)
96223.08 l
Question
41
41.
12 labourers can cultivate a field in 40 days working 3 hr per day. How many more labourers are needed to cultivate double the field in 6 days working 10 hr per day ?
(i)
38
(ii)
36
(iii)
35
(iv)
34
(v)
37
Question
42
42.
19 workers working 10 hr per day are paid ₹226100 for 17 days. How much has to be paid to 12 workers working 13 hr per day for 11 days ?
(i)
₹120120
(ii)
₹108120
(iii)
₹105120
(iv)
₹132120
(v)
₹136120
Question
43
43.
The air ticket charges for 40 persons for a flight is ₹166920, inclusive of ₹273 as airport tax per person. How much has to be paid if 18 persons drop out of the trip ?
(i)
₹90006
(ii)
₹91306
(iii)
₹93406
(iv)
₹91806
Question
44
44.
The specification on a printer says that it prints 1400 pages in 20 min. If 5600 pages have to be printed, how long will it take ?
(i)
83 min
(ii)
80 min
(iii)
77 min
(iv)
75 min
(v)
85 min
Question
45
45.
13 gm of gold costs ₹29900. What is the cost of 35 gm ?
(i)
₹78800
(ii)
₹82200
(iii)
₹80500
(iv)
₹81000
(v)
₹78700
Question
46
46.
A banker gave foreign exchange of $19 for ₹817. How many dollars will the customer get for ₹1290 ?
(i)
$25
(ii)
$35
(iii)
$33
(iv)
$30
(v)
$27
Question
47
47.
19 workers take 18 days to build a room. After working for 10 days, 12 workers left. In how many more days is the room built ?
(i)
24.71 days
(ii)
26.71 days
(iii)
18.71 days
(iv)
16.71 days
(v)
21.71 days
Question
48
48.
A can do
1
6
of a particular work in
13 days
.
B can do
1
14
of the same work in
9 days
.
C can do
1
7
of the same work in
15 days
.
If A, B and C work together, in how many days is the work completed ?
(i)
33
3
124
days
(ii)
32
1
2
days
(iii)
33
1
124
days
(iv)
33
69
122
days
(v)
33
5
124
days
Question
49
49.
A journey consists of three legs. First 182 km are travelled at a speed of 140 kmph. Next 30 km are travelled at a speed of 100 kmph. Last 24 km are travelled at a speed of 60 kmph. Find the total time taken to complete the journey.
(i)
1
2
3
hr
(ii)
1
4
5
hr
(iii)
2
hr
(iv)
2
1
2
hr
(v)
2
1
5
hr
Question
50
50.
In an eating contest, the eating capacities of A, B and C are 9 gm/sec, 7 gm/sec and 8 gm/sec respectively. If the amount of food to be eaten is 21.6 kg, in how much time is it consumed if all three participants start eating together ?
(i)
14
min
(ii)
17
min
(iii)
13
min
(iv)
15
min
(v)
16
min
Question
51
51.
In a certain exam, for every correct answer, 4 marks are added. For every wrong answer 3 marks are subtracted. A student attempted 45 questions and secured 103 marks. How many answers are correct and how many are wrong?
(i)
35 correct and 10 wrong
(ii)
34 correct and 11 wrong
(iii)
32 correct and 13 wrong
(iv)
33 correct and 12 wrong
(v)
36 correct and 9 wrong
Question
52
52.
A production line consists of three stages to be completed serially.
Stage1 work can be done by
12
workers in
8 days
.
Stage2 work can be done by
11
workers in
6 days
.
Stage3 work can be done by
9
workers in
13 days
.
If
12
,
11
and
5
workers are hired to do
Stage1, Stage2 and Stage3 works respectively,
in how many days is the work completed ?
(i)
37
2
3
days
(ii)
37
4
5
days
(iii)
37
2
7
days
(iv)
37
days
(v)
37
2
5
days
Question
53
53.
The slab rates of a city's water department are as follows
Low Val (kl)
-
High Val (kl)
Rate Rs/kl
0
-
30
13
30
-
50
18
50
-
70
23
70
-
remaining
28
How much amount has to be paid if the consumption is
30 kl
.
(i)
₹390
(ii)
₹396
(iii)
₹373
(iv)
₹418
(v)
₹374
Question
54
54.
The slab rates of a city's water department are as follows
Low Val (kl)
-
High Val (kl)
Rate Rs/kl
0
-
30
12
30
-
70
17
70
-
90
22
90
-
remaining
27
How much amount has to be paid if the consumption is
55 kl
.
(i)
₹807
(ii)
₹785
(iii)
₹781
(iv)
₹772
(v)
₹799
Question
55
55.
The slab rates of a city's water department are as follows
Low Val (kl)
-
High Val (kl)
Rate Rs/kl
0
-
20
19
20
-
50
24
50
-
90
29
90
-
remaining
34
How much amount has to be paid if the consumption is
88 kl
.
(i)
₹2452
(ii)
₹2202
(iii)
₹1922
(iv)
₹2372
(v)
₹2132
Question
56
56.
The slab rates of a city's water department are as follows
Low Val (kl)
-
High Val (kl)
Rate Rs/kl
0
-
20
16
20
-
30
21
30
-
60
26
60
-
remaining
31
How much amount has to be paid if the consumption is
84 kl
.
(i)
₹1784
(ii)
₹2204
(iii)
₹2234
(iv)
₹1974
(v)
₹2054
Assignment Key
1) (i)
2) (v)
3) (ii)
4) (iii)
5) (iv)
6) (iv)
7) (ii)
8) (iv)
9) (iv)
10) (ii)
11) (i)
12) (v)
13) (ii)
14) (iv)
15) (i)
16) (v)
17) (iii)
18) (ii)
19) (ii)
20) (i)
21) (iv)
22) (iv)
23) (i)
24) (v)
25) (v)
26) (v)
27) (iv)
28) (v)
29) (iv)
30) (i)
31) (iv)
32) (iii)
33) (v)
34) (iv)
35) (iv)
36) (v)
37) (ii)
38) (ii)
39) (iii)
40) (iv)
41) (ii)
42) (i)
43) (iv)
44) (ii)
45) (iii)
46) (iv)
47) (v)
48) (i)
49) (iii)
50) (iv)
51) (ii)
52) (v)
53) (i)
54) (ii)
55) (ii)
56) (v)