EduSahara™ Assignment
Name : Unitary Method Problems
Chapter : Unitary Method
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If 12 sweet packets cost ₹108, how much will 34 sweet packets cost?
(i)
₹331
(ii)
₹289
(iii)
₹300
(iv)
₹324
(v)
₹306
Question
2
2.
If 9 brushes cost ₹54, how many brushes can be purchased with ₹234?
(i)
42
(ii)
39
(iii)
38
(iv)
40
(v)
37
Question
3
3.
If 11 l of oil costs ₹143, how much will 37 l cost?
(i)
₹481
(ii)
₹496
(iii)
₹457
(iv)
₹494
(v)
₹478
Question
4
4.
If 11 l of groundnut oil costs ₹165, how much of groundnut oil costs ₹480?
(i)
29 l
(ii)
35 l
(iii)
32 l
(iv)
37 l
(v)
27 l
Question
5
5.
If 10 men can make 70 baskets in a day, how many baskets are made by 17 men in a day?
(i)
122
(ii)
117
(iii)
120
(iv)
118
(v)
119
Question
6
6.
If 14 men can make 56 candles in a day, how many men are needed to make 76 candles in a day?
(i)
20
(ii)
21
(iii)
16
(iv)
19
(v)
18
Question
7
7.
If Sushant can read 169 pages in 13 hr, how many pages can he read in 20 hr?
(i)
257
(ii)
259
(iii)
262
(iv)
261
(v)
260
Question
8
8.
If Abhishek can read 323 pages in 17 hr, he can read 380 pages in how many hours?
(i)
23 hr
(ii)
15 hr
(iii)
20 hr
(iv)
17 hr
(v)
25 hr
Question
9
9.
If Ravi can read 92 pages in a 253 pages book in 4 hr, how much more time will it take to complete the book?
(i)
6 hr
(ii)
9 hr
(iii)
8 hr
(iv)
5 hr
(v)
7 hr
Question
10
10.
If Sharan can make 133 sandwiches in 7 min, in how much time can he complete an order of 722 sandwiches ?
(i)
38 min
(ii)
41 min
(iii)
33 min
(iv)
35 min
(v)
43 min
Question
11
11.
If 120 men can do a piece of work in 110 days, how many men can do the same work in 80 days?
(i)
167
(ii)
162
(iii)
166
(iv)
165
(v)
164
Question
12
12.
If 135 men can do a piece of work in 70 days, 90 men can do the same work in how many days?
(i)
105 days
(ii)
128 days
(iii)
93 days
(iv)
121 days
(v)
90 days
Question
13
13.
If
14
men can build
1
10
of a wall in
30 days
,
in how much more time is the wall completely built ?
(i)
270 days
(ii)
258 days
(iii)
263 days
(iv)
284 days
(v)
295 days
Question
14
14.
A vehicle can cover certain distance in 88 min, running at a speed of 195 kmph. At what speed must the vehicle run to cover the same distance in 165 min?
(i)
104 kmph
(ii)
109 kmph
(iii)
90 kmph
(iv)
126 kmph
Question
15
15.
A vehicle can cover certain distance in 70 min, running at a speed of 135 kmph. In how many minutes, the vehicle covers the same distance running at a speed of 150 kmph?
(i)
60 min
(ii)
58 min
(iii)
66 min
(iv)
68 min
(v)
63 min
Question
16
16.
A person has to travel from one town to another town which is at a distance of 280 km. He covers 70 km in 5 hr. In how much more time will he reach his destination?
(i)
10 hr
(ii)
12 hr
(iii)
18 hr
(iv)
15 hr
(v)
20 hr
Question
17
17.
The cost of 13 kg of onions is ₹325. How many kgs of onions can be purchased with ₹350 ?
(i)
14 kg
(ii)
19 kg
(iii)
17 kg
(iv)
9 kg
(v)
11 kg
Question
18
18.
The cost of 14 kg of potatoes is ₹364. How much has to be paid to purchase 25 kg of potatoes ?
(i)
₹663
(ii)
₹648
(iii)
₹650
(iv)
₹635
(v)
₹672
Question
19
19.
The weight of 12 rounds of copper wire is 276 kg. How many rounds of copper wire is present in 506 kg?
(i)
19
(ii)
21
(iii)
22
(iv)
23
(v)
25
Question
20
20.
72 men can dig a canal in 165 days working for 14 hr per day. How many men are required to complete the work in 84 days working for 15 hr per day?
(i)
130
(ii)
132
(iii)
133
(iv)
135
(v)
131
Question
21
21.
12 men can dig a trench in 12 days. But after working for 7 days, 9 men left. How many more days are required to complete the work?
(i)
18
days
(ii)
21
days
(iii)
20
days
(iv)
19
days
(v)
22
days
Question
22
22.
In a hostel mess there are provisions enough for 17 students for 18 days. If 11 more students join the hostel, how long will the provisions last ?
(i)
13.93 days
(ii)
10.93 days
(iii)
15.93 days
(iv)
7.93 days
(v)
5.93 days
Question
23
23.
In a hostel mess, there are provisions enough for 12 students for 20 days. After 7 days, 5 students left. How many more days will the provisions last ?
(i)
22.29 days
(ii)
25.29 days
(iii)
27.29 days
(iv)
17.29 days
(v)
19.29 days
Question
24
24.
A bus ticket fare for 20 km costs ₹89. How much is the fare for 10 km?
(i)
₹49.50
(ii)
₹44.50
(iii)
₹39.50
(iv)
₹47.50
(v)
₹41.50
Question
25
25.
The cost of 17 pens is ₹238 and 15 pencils is ₹120. With an amount of ₹320, 19 pencils are purchased. How many pens can be purchased with the remaining amount ?
(i)
11
(ii)
10
(iii)
14
(iv)
12
(v)
13
Question
26
26.
The cost of 11 pens is ₹143 and 12 pencils is ₹72. With an amount of ₹290, 14 pens are purchased. How many pencils can be purchased with the remaining amount ?
(i)
19
(ii)
17
(iii)
15
(iv)
20
(v)
18
Question
27
27.
The sales tax for ₹100 of a bill is ₹12. How much sales tax has to be paid for a bill of ₹358 ?
(i)
₹45.96
(ii)
₹42.96
(iii)
₹39.96
(iv)
₹37.96
(v)
₹47.96
Question
28
28.
A group of pilgrims have to cover 21 km to reach a shrine. They walk 16 km in 14 hr. At what speed they have to walk to cover the remaining distance in 12 hr ?
(i)
2.42 kmph
(ii)
7.42 kmph
(iii)
1.42 kmph
(iv)
8.42 kmph
(v)
0.42 kmph
Question
29
29.
To stitch a shirt, 110 cm of cloth is needed. How much cloth is needed to stitch 9 shirts ?
(i)
978 cm
(ii)
982 cm
(iii)
1005 cm
(iv)
990 cm
(v)
993 cm
Question
30
30.
10 m of cloth is required to stitch 9 dresses. How many meters of cloth is required to stitch 17 dresses?
(i)
13.89 m
(ii)
21.89 m
(iii)
23.89 m
(iv)
18.89 m
(v)
15.89 m
Question
31
31.
The cost of 6 dozen bananas is ₹228. What is the cost of 16 dozens ?
(i)
₹594
(ii)
₹593
(iii)
₹621
(iv)
₹610
(v)
₹608
Question
32
32.
14 mangoes weigh 10 kg. If 5 mangoes are needed, how many kgs have to be purchased?
(i)
2.57 kg
(ii)
1.57 kg
(iii)
3.57 kg
(iv)
5.57 kg
(v)
4.57 kg
Question
33
33.
30 men or 18 women can earn ₹1800 per day. How much is earned by 17 men and 18 women in a day?
(i)
₹2650
(ii)
₹2960
(iii)
₹2660
(iv)
₹2900
(v)
₹2820
Question
34
34.
The total wage of 13 labourers for 9 days is ₹35100. What will be the total wage of 7 labourers for 5 days ?
(i)
₹8900
(ii)
₹11300
(iii)
₹12000
(iv)
₹9300
(v)
₹10500
Question
35
35.
40 artisans can make 30 idols in 24 days. How many artisans are required to make 6 idols in 12 days ?
(i)
17
(ii)
15
(iii)
14
(iv)
18
(v)
16
Question
36
36.
90 workers working for 5 hr per day can dig a pit in 32 days. How many days are needed for 36 workers working 8 hr per day to dig the same pit?
(i)
50 days
(ii)
45 days
(iii)
47 days
(iv)
55 days
(v)
53 days
Question
37
37.
12 cows eat 2808 kg of grass in 18 days. How much of grass has to be procured to feed 9 cows for 20 days ?
(i)
2340 kg
(ii)
2500 kg
(iii)
2270 kg
(iv)
2220 kg
Question
38
38.
Cost of 13 toys of TypeA is ₹117 and 12 toys of TypeB is ₹228. Out of a sum of ₹340, 6 toys of TypeA are purchased. If 16 toys of TypeB have to be purchased, how much extra amount is needed?
(i)
₹23
(ii)
₹21
(iii)
₹15
(iv)
₹18
(v)
₹13
Question
39
39.
9 men can make 486 baskets in 9 days. 7 women can make 245 baskets in 7 days. How many baskets are made by 10 men and 6 women in 5 days ?
(i)
450
(ii)
451
(iii)
449
(iv)
448
(v)
452
Question
40
40.
To irrigate 14 acres of a field, 80000 l of water is needed. If 10 more acres are brought under cultivation, how many lts of water is needed?
(i)
131142.86 l
(ii)
163142.86 l
(iii)
109142.86 l
(iv)
150142.86 l
(v)
137142.86 l
Question
41
41.
20 labourers can cultivate a field in 36 days working 8 hr per day. How many more labourers are needed to cultivate double the field in 80 days working 4 hr per day ?
(i)
16
(ii)
17
(iii)
15
(iv)
19
(v)
14
Question
42
42.
13 workers working 8 hr per day are paid ₹88400 for 17 days. How much has to be paid to 13 workers working 15 hr per day for 12 days ?
(i)
₹139000
(ii)
₹123000
(iii)
₹100000
(iv)
₹102000
(v)
₹117000
Question
43
43.
The air ticket charges for 31 persons for a flight is ₹143127, inclusive of ₹417 as airport tax per person. How much has to be paid if 15 persons drop out of the trip ?
(i)
₹72172
(ii)
₹75272
(iii)
₹71672
(iv)
₹75172
(v)
₹73872
Question
44
44.
The specification on a printer says that it prints 1000 pages in 20 min. If 4750 pages have to be printed, how long will it take ?
(i)
100 min
(ii)
98 min
(iii)
90 min
(iv)
92 min
(v)
95 min
Question
45
45.
17 gm of gold costs ₹35700. What is the cost of 38 gm ?
(i)
₹80500
(ii)
₹81300
(iii)
₹79500
(iv)
₹78400
(v)
₹79800
Question
46
46.
A banker gave foreign exchange of $15 for ₹900. How many dollars will the customer get for ₹1920 ?
(i)
$37
(ii)
$27
(iii)
$29
(iv)
$35
(v)
$32
Question
47
47.
19 workers take 13 days to build a room. After working for 6 days, 14 workers left. In how many more days is the room built ?
(i)
29.60 days
(ii)
26.60 days
(iii)
31.60 days
(iv)
23.60 days
(v)
21.60 days
Question
48
48.
A can do
1
13
of a particular work in
7 days
.
B can do
1
14
of the same work in
5 days
.
C can do
1
10
of the same work in
12 days
.
If A, B and C work together, in how many days is the work completed ?
(i)
29
277
367
days
(ii)
29
73
123
days
(iii)
29
67
73
days
(iv)
29
279
367
days
(v)
29
275
367
days
Question
49
49.
A journey consists of three legs. First 24 km are travelled at a speed of 80 kmph. Next 50 km are travelled at a speed of 100 kmph. Last 8 km are travelled at a speed of 40 kmph. Find the total time taken to complete the journey.
(i)
1
1
4
hr
(ii)
1
hr
(iii)
4
5
hr
(iv)
5
6
hr
(v)
1
1
5
hr
Question
50
50.
In an eating contest, the eating capacities of A, B and C are 13 gm/sec, 5 gm/sec and 7 gm/sec respectively. If the amount of food to be eaten is 12 kg, in how much time is it consumed if all three participants start eating together ?
(i)
11
min
(ii)
8
min
(iii)
5
min
(iv)
9
min
(v)
7
min
Question
51
51.
In a certain exam, for every correct answer, 9 marks are added. For every wrong answer 3 marks are subtracted. A student attempted 48 questions and secured 216 marks. How many answers are correct and how many are wrong?
(i)
32 correct and 16 wrong
(ii)
29 correct and 19 wrong
(iii)
30 correct and 18 wrong
(iv)
31 correct and 17 wrong
(v)
28 correct and 20 wrong
Question
52
52.
A production line consists of three stages to be completed serially.
Stage1 work can be done by
11
workers in
14 days
.
Stage2 work can be done by
7
workers in
10 days
.
Stage3 work can be done by
8
workers in
9 days
.
If
14
,
11
and
9
workers are hired to do
Stage1, Stage2 and Stage3 works respectively,
in how many days is the work completed ?
(i)
25
4
13
days
(ii)
25
4
9
days
(iii)
25
4
11
days
(iv)
25
2
11
days
(v)
25
6
11
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
-
20
10
20
-
40
15
40
-
90
20
90
-
remaining
25
How much amount has to be paid if the consumption is
16 kl
.
(i)
₹182
(ii)
₹173
(iii)
₹145
(iv)
₹133
(v)
₹160
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
-
20
12
20
-
50
17
50
-
80
22
80
-
remaining
27
How much amount has to be paid if the consumption is
43 kl
.
(i)
₹606
(ii)
₹624
(iii)
₹631
(iv)
₹655
(v)
₹649
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
17
20
-
30
22
30
-
80
27
80
-
remaining
32
How much amount has to be paid if the consumption is
51 kl
.
(i)
₹1127
(ii)
₹1407
(iii)
₹987
(iv)
₹1157
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
-
30
14
30
-
50
19
50
-
80
24
80
-
remaining
29
How much amount has to be paid if the consumption is
88 kl
.
(i)
₹1592
(ii)
₹1752
(iii)
₹1722
(iv)
₹1892
(v)
₹1802
Assignment Key
1) (v)
2) (ii)
3) (i)
4) (iii)
5) (v)
6) (iv)
7) (v)
8) (iii)
9) (v)
10) (i)
11) (iv)
12) (i)
13) (i)
14) (i)
15) (v)
16) (iv)
17) (i)
18) (iii)
19) (iii)
20) (ii)
21) (iii)
22) (ii)
23) (i)
24) (ii)
25) (iv)
26) (v)
27) (ii)
28) (v)
29) (iv)
30) (iv)
31) (v)
32) (iii)
33) (v)
34) (v)
35) (v)
36) (i)
37) (i)
38) (iv)
39) (i)
40) (v)
41) (i)
42) (v)
43) (v)
44) (v)
45) (v)
46) (v)
47) (ii)
48) (i)
49) (ii)
50) (ii)
51) (iii)
52) (iii)
53) (v)
54) (iii)
55) (i)
56) (ii)