EduSahara™ Assignment
Name : Unitary Method Problems
Chapter : Unitary Method
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If 15 dolls cost ₹135, how much will 30 dolls cost?
(i)
₹284
(ii)
₹273
(iii)
₹255
(iv)
₹270
(v)
₹253
Question
2
2.
If 6 brushes cost ₹36, how many brushes can be purchased with ₹240?
(i)
43
(ii)
39
(iii)
38
(iv)
41
(v)
40
Question
3
3.
If 6 l of groundnut oil costs ₹114, how much will 28 l cost?
(i)
₹532
(ii)
₹547
(iii)
₹550
(iv)
₹519
(v)
₹528
Question
4
4.
If 14 l of milk costs ₹266, how much of milk costs ₹760?
(i)
43 l
(ii)
35 l
(iii)
45 l
(iv)
37 l
(v)
40 l
Question
5
5.
If 16 men can make 112 toy cars in a day, how many toy cars are made by 19 men in a day?
(i)
133
(ii)
132
(iii)
130
(iv)
136
(v)
134
Question
6
6.
If 16 men can make 64 birthday cakes in a day, how many men are needed to make 68 birthday cakes in a day?
(i)
17
(ii)
19
(iii)
16
(iv)
18
(v)
14
Question
7
7.
If Mahesh can read 140 pages in 14 hr, how many pages can he read in 15 hr?
(i)
151
(ii)
150
(iii)
149
(iv)
152
(v)
148
Question
8
8.
If Rajesh can read 130 pages in 13 hr, he can read 140 pages in how many hours?
(i)
14 hr
(ii)
17 hr
(iii)
19 hr
(iv)
9 hr
(v)
11 hr
Question
9
9.
If Shyam can read 78 pages in a 156 pages book in 6 hr, how much more time will it take to complete the book?
(i)
6 hr
(ii)
4 hr
(iii)
7 hr
(iv)
8 hr
(v)
5 hr
Question
10
10.
If Kumar can make 144 pastries in 12 min, in how much time can he complete an order of 468 pastries ?
(i)
39 min
(ii)
44 min
(iii)
36 min
(iv)
34 min
(v)
42 min
Question
11
11.
If 50 men can do a piece of work in 88 days, how many men can do the same work in 55 days?
(i)
78
(ii)
80
(iii)
81
(iv)
82
(v)
79
Question
12
12.
If 91 men can do a piece of work in 99 days, 63 men can do the same work in how many days?
(i)
137 days
(ii)
143 days
(iii)
147 days
(iv)
166 days
(v)
121 days
Question
13
13.
If
10
men can build
1
8
of a wall in
45 days
,
in how much more time is the wall completely built ?
(i)
303 days
(ii)
339 days
(iii)
322 days
(iv)
289 days
(v)
315 days
Question
14
14.
A vehicle can cover certain distance in 91 min, running at a speed of 50 kmph. At what speed must the vehicle run to cover the same distance in 35 min?
(i)
153 kmph
(ii)
126 kmph
(iii)
102 kmph
(iv)
135 kmph
(v)
130 kmph
Question
15
15.
A vehicle can cover certain distance in 165 min, running at a speed of 182 kmph. In how many minutes, the vehicle covers the same distance running at a speed of 143 kmph?
(i)
224 min
(ii)
210 min
(iii)
204 min
(iv)
185 min
(v)
218 min
Question
16
16.
A person has to travel from one town to another town which is at a distance of 570 km. He covers 190 km in 5 hr. In how much more time will he reach his destination?
(i)
13 hr
(ii)
7 hr
(iii)
5 hr
(iv)
15 hr
(v)
10 hr
Question
17
17.
The cost of 16 kg of potatoes is ₹400. How many kgs of potatoes can be purchased with ₹525 ?
(i)
18 kg
(ii)
21 kg
(iii)
16 kg
(iv)
24 kg
(v)
26 kg
Question
18
18.
The cost of 15 kg of tomatoes is ₹405. How much has to be paid to purchase 20 kg of tomatoes ?
(i)
₹544
(ii)
₹522
(iii)
₹563
(iv)
₹518
(v)
₹540
Question
19
19.
The weight of 10 rounds of copper wire is 200 kg. How many rounds of copper wire is present in 460 kg?
(i)
24
(ii)
20
(iii)
23
(iv)
22
(v)
26
Question
20
20.
45 men can dig a canal in 80 days working for 15 hr per day. How many men are required to complete the work in 75 days working for 8 hr per day?
(i)
93
(ii)
89
(iii)
91
(iv)
87
(v)
90
Question
21
21.
20 men can dig a trench in 15 days. But after working for 13 days, 12 men left. How many more days are required to complete the work?
(i)
4
days
(ii)
2
days
(iii)
8
days
(iv)
5
days
(v)
6
days
Question
22
22.
In a hostel mess there are provisions enough for 18 students for 11 days. If 15 more students join the hostel, how long will the provisions last ?
(i)
6.00 days
(ii)
4.00 days
(iii)
8.00 days
(iv)
5.00 days
(v)
7.00 days
Question
23
23.
In a hostel mess, there are provisions enough for 20 students for 13 days. After 6 days, 9 students left. How many more days will the provisions last ?
(i)
17.73 days
(ii)
9.73 days
(iii)
15.73 days
(iv)
12.73 days
(v)
7.73 days
Question
24
24.
A bus ticket fare for 15 km costs ₹81. How much is the fare for 13 km?
(i)
₹70.20
(ii)
₹65.20
(iii)
₹67.20
(iv)
₹73.20
(v)
₹75.20
Question
25
25.
The cost of 15 pens is ₹255 and 13 pencils is ₹65. With an amount of ₹260, 18 pencils are purchased. How many pens can be purchased with the remaining amount ?
(i)
10
(ii)
9
(iii)
12
(iv)
7
(v)
11
Question
26
26.
The cost of 18 pens is ₹306 and 16 pencils is ₹96. With an amount of ₹294, 12 pens are purchased. How many pencils can be purchased with the remaining amount ?
(i)
15
(ii)
12
(iii)
14
(iv)
16
(v)
17
Question
27
27.
The sales tax for ₹100 of a bill is ₹18. How much sales tax has to be paid for a bill of ₹333 ?
(i)
₹59.94
(ii)
₹62.94
(iii)
₹54.94
(iv)
₹64.94
(v)
₹56.94
Question
28
28.
A group of pilgrims have to cover 20 km to reach a shrine. They walk 12 km in 20 hr. At what speed they have to walk to cover the remaining distance in 12 hr ?
(i)
2.67 kmph
(ii)
8.67 kmph
(iii)
7.67 kmph
(iv)
1.67 kmph
(v)
0.67 kmph
Question
29
29.
To stitch a shirt, 140 cm of cloth is needed. How much cloth is needed to stitch 8 shirts ?
(i)
960 cm
(ii)
1270 cm
(iii)
1280 cm
(iv)
940 cm
(v)
1120 cm
Question
30
30.
12 m of cloth is required to stitch 6 dresses. How many meters of cloth is required to stitch 24 dresses?
(i)
53.00 m
(ii)
45.00 m
(iii)
51.00 m
(iv)
43.00 m
(v)
48.00 m
Question
31
31.
The cost of 8 dozen bananas is ₹312. What is the cost of 21 dozens ?
(i)
₹795
(ii)
₹832
(iii)
₹815
(iv)
₹819
Question
32
32.
16 mangoes weigh 6 kg. If 6 mangoes are needed, how many kgs have to be purchased?
(i)
3.25 kg
(ii)
4.25 kg
(iii)
1.25 kg
(iv)
2.25 kg
(v)
0.25 kg
Question
33
33.
24 men or 32 women can earn ₹960 per day. How much is earned by 20 men and 15 women in a day?
(i)
₹1250
(ii)
₹1390
(iii)
₹1080
(iv)
₹1400
(v)
₹1070
Question
34
34.
The total wage of 17 labourers for 12 days is ₹73440. What will be the total wage of 18 labourers for 5 days ?
(i)
₹33900
(ii)
₹34200
(iii)
₹30600
(iv)
₹30800
(v)
₹32400
Question
35
35.
28 artisans can make 35 idols in 40 days. How many artisans are required to make 90 idols in 80 days ?
(i)
38
(ii)
37
(iii)
35
(iv)
36
(v)
34
Question
36
36.
18 workers working for 7 hr per day can dig a pit in 45 days. How many days are needed for 27 workers working 5 hr per day to dig the same pit?
(i)
37 days
(ii)
39 days
(iii)
45 days
(iv)
42 days
(v)
47 days
Question
37
37.
15 cows eat 1050 kg of grass in 5 days. How much of grass has to be procured to feed 8 cows for 20 days ?
(i)
2080 kg
(ii)
2360 kg
(iii)
2240 kg
(iv)
1990 kg
(v)
2480 kg
Question
38
38.
Cost of 7 toys of TypeA is ₹49 and 5 toys of TypeB is ₹70. Out of a sum of ₹295, 20 toys of TypeA are purchased. If 13 toys of TypeB have to be purchased, how much extra amount is needed?
(i)
₹22
(ii)
₹30
(iii)
₹27
(iv)
₹24
(v)
₹32
Question
39
39.
5 men can make 160 baskets in 8 days. 15 women can make 180 baskets in 6 days. How many baskets are made by 3 men and 5 women in 5 days ?
(i)
111
(ii)
113
(iii)
109
(iv)
110
(v)
108
Question
40
40.
To irrigate 15 acres of a field, 60000 l of water is needed. If 5 more acres are brought under cultivation, how many lts of water is needed?
(i)
78500.00 l
(ii)
78800.00 l
(iii)
80000.00 l
(iv)
81300.00 l
(v)
81800.00 l
Question
41
41.
12 labourers can cultivate a field in 90 days working 8 hr per day. How many more labourers are needed to cultivate double the field in 16 days working 10 hr per day ?
(i)
99
(ii)
96
(iii)
94
(iv)
97
(v)
95
Question
42
42.
17 workers working 10 hr per day are paid ₹226100 for 19 days. How much has to be paid to 10 workers working 7 hr per day for 12 days ?
(i)
₹59400
(ii)
₹57200
(iii)
₹56000
(iv)
₹61300
(v)
₹58800
Question
43
43.
The air ticket charges for 30 persons for a flight is ₹201810, inclusive of ₹227 as airport tax per person. How much has to be paid if 14 persons drop out of the trip ?
(i)
₹119632
(ii)
₹114632
(iii)
₹82632
(iv)
₹90632
(v)
₹107632
Question
44
44.
The specification on a printer says that it prints 1000 pages in 20 min. If 4250 pages have to be printed, how long will it take ?
(i)
90 min
(ii)
88 min
(iii)
82 min
(iv)
85 min
(v)
80 min
Question
45
45.
19 gm of gold costs ₹38000. What is the cost of 27 gm ?
(i)
₹53800
(ii)
₹56600
(iii)
₹52500
(iv)
₹55400
(v)
₹54000
Question
46
46.
A banker gave foreign exchange of $14 for ₹798. How many dollars will the customer get for ₹2223 ?
(i)
$42
(ii)
$44
(iii)
$39
(iv)
$36
(v)
$34
Question
47
47.
13 workers take 11 days to build a room. After working for 5 days, 7 workers left. In how many more days is the room built ?
(i)
10.00 days
(ii)
8.00 days
(iii)
16.00 days
(iv)
18.00 days
(v)
13.00 days
Question
48
48.
A can do
1
14
of a particular work in
7 days
.
B can do
1
4
of the same work in
12 days
.
C can do
1
5
of the same work in
8 days
.
If A, B and C work together, in how many days is the work completed ?
(i)
17
523
661
days
(ii)
17
197
219
days
(iii)
17
555
659
days
(iv)
17
559
659
days
(v)
17
557
659
days
Question
49
49.
A journey consists of three legs. First 182 km are travelled at a speed of 130 kmph. Next 27 km are travelled at a speed of 90 kmph. Last 60 km are travelled at a speed of 150 kmph. Find the total time taken to complete the journey.
(i)
2
5
8
hr
(ii)
1
9
10
hr
(iii)
2
1
10
hr
(iv)
1
3
4
hr
(v)
2
3
10
hr
Question
50
50.
In an eating contest, the eating capacities of A, B and C are 15 gm/sec, 12 gm/sec and 8 gm/sec respectively. If the amount of food to be eaten is 21 kg, in how much time is it consumed if all three participants start eating together ?
(i)
11
min
(ii)
10
min
(iii)
8
min
(iv)
9
min
(v)
13
min
Question
51
51.
In a certain exam, for every correct answer, 9 marks are added. For every wrong answer 6 marks are subtracted. A student attempted 60 questions and secured 270 marks. How many answers are correct and how many are wrong?
(i)
43 correct and 17 wrong
(ii)
41 correct and 19 wrong
(iii)
42 correct and 18 wrong
(iv)
44 correct and 16 wrong
(v)
40 correct and 20 wrong
Question
52
52.
A production line consists of three stages to be completed serially.
Stage1 work can be done by
10
workers in
5 days
.
Stage2 work can be done by
11
workers in
15 days
.
Stage3 work can be done by
12
workers in
9 days
.
If
14
,
13
and
12
workers are hired to do
Stage1, Stage2 and Stage3 works respectively,
in how many days is the work completed ?
(i)
25
24
89
days
(ii)
25
2
7
days
(iii)
25
24
91
days
(iv)
25
22
91
days
(v)
25
8
31
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
-
40
15
40
-
50
20
50
-
60
25
60
-
remaining
30
How much amount has to be paid if the consumption is
15 kl
.
(i)
₹222
(ii)
₹243
(iii)
₹213
(iv)
₹241
(v)
₹225
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
10
30
-
70
15
70
-
80
20
80
-
remaining
25
How much amount has to be paid if the consumption is
53 kl
.
(i)
₹637
(ii)
₹649
(iii)
₹645
(iv)
₹670
(v)
₹629
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
20
20
-
70
25
70
-
90
30
90
-
remaining
35
How much amount has to be paid if the consumption is
73 kl
.
(i)
₹1610
(ii)
₹1740
(iii)
₹1860
(iv)
₹1900
(v)
₹1690
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
-
60
18
60
-
80
23
80
-
90
28
90
-
remaining
33
How much amount has to be paid if the consumption is
96 kl
.
(i)
₹2178
(ii)
₹1888
(iii)
₹2018
(iv)
₹2168
(v)
₹1898
Assignment Key
1) (iv)
2) (v)
3) (i)
4) (v)
5) (i)
6) (i)
7) (ii)
8) (i)
9) (i)
10) (i)
11) (ii)
12) (ii)
13) (v)
14) (v)
15) (ii)
16) (v)
17) (ii)
18) (v)
19) (iii)
20) (v)
21) (iv)
22) (i)
23) (iv)
24) (i)
25) (i)
26) (i)
27) (i)
28) (v)
29) (v)
30) (v)
31) (iv)
32) (iv)
33) (i)
34) (v)
35) (iv)
36) (iv)
37) (iii)
38) (iii)
39) (iv)
40) (iii)
41) (ii)
42) (v)
43) (v)
44) (iv)
45) (v)
46) (iii)
47) (v)
48) (v)
49) (iii)
50) (ii)
51) (iii)
52) (iii)
53) (v)
54) (iii)
55) (ii)
56) (iii)