Sasi Math (Revised for 1024)

Scroll:Life mathematics >> profit and loss >> saq (4296)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

98 machines can produce 4227 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 44 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

67 machines can produce 4007 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 32 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

65 machines can produce 5338 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 25 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

93 machines can produce 5799 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 23 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

82 machines can produce 4501 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 40 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

88 machines can produce 4433 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 44 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

93 machines can produce 5134 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 31 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

93 machines can produce 4989 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 24 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

72 machines can produce 5044 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 50 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

10)

92 machines can produce 4594 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 27 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

98 machines can produce 4227 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 44 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 759

Mobiles produced in 1 hr

Answer: 4

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
98	10	4227
44	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 98 to 44, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{44}{98}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 10 to 4, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{4}{10}$

x = $\frac{44}{98}$ x $\frac{4}{10}$ x 4227

= 0.44897959183673 x 0.4 x 4227

= 759.13469387755 = 759

No of mobiles produced a machine in one hour = $\frac{1}{98}$ x $\frac{1}{10}$ x 4227

= 0.010204081632653 x 422.7

= 4.3132653061224 = 4

67 machines can produce 4007 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 32 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 1367

Mobiles produced in 1 hr

Answer: 9

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
67	7	4007
32	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 67 to 32, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{32}{67}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 7 to 5, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{5}{7}$

x = $\frac{32}{67}$ x $\frac{5}{7}$ x 4007

= 0.47761194029851 x 0.71428571428571 x 4007

= 1366.9936034115 = 1367

No of mobiles produced a machine in one hour = $\frac{1}{67}$ x $\frac{1}{7}$ x 4007

= 0.014925373134328 x 572.42857142857

= 8.543710021322 = 9

65 machines can produce 5338 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 25 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 1283

Mobiles produced in 1 hr

Answer: 10

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
65	8	5338
25	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 65 to 25, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{25}{65}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 8 to 5, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{5}{8}$

x = $\frac{25}{65}$ x $\frac{5}{8}$ x 5338

= 0.38461538461538 x 0.625 x 5338

= 1283.1730769231 = 1283

No of mobiles produced a machine in one hour = $\frac{1}{65}$ x $\frac{1}{8}$ x 5338

= 0.015384615384615 x 667.25

= 10.265384615385 = 10

93 machines can produce 5799 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 23 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 478

Mobiles produced in 1 hr

Answer: 7

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
93	9	5799
23	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 93 to 23, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{23}{93}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 3, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{3}{9}$

x = $\frac{23}{93}$ x $\frac{3}{9}$ x 5799

= 0.24731182795699 x 0.33333333333333 x 5799

= 478.05376344086 = 478

No of mobiles produced a machine in one hour = $\frac{1}{93}$ x $\frac{1}{9}$ x 5799

= 0.010752688172043 x 644.33333333333

= 6.9283154121864 = 7

82 machines can produce 4501 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 40 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 659

Mobiles produced in 1 hr

Answer: 5

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
82	10	4501
40	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 82 to 40, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{40}{82}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 10 to 3, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{3}{10}$

x = $\frac{40}{82}$ x $\frac{3}{10}$ x 4501

= 0.48780487804878 x 0.3 x 4501

= 658.68292682927 = 659

No of mobiles produced a machine in one hour = $\frac{1}{82}$ x $\frac{1}{10}$ x 4501

= 0.01219512195122 x 450.1

= 5.4890243902439 = 5

88 machines can produce 4433 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 44 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 493

Mobiles produced in 1 hr

Answer: 6

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
88	9	4433
44	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 88 to 44, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{44}{88}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{9}$

x = $\frac{44}{88}$ x $\frac{2}{9}$ x 4433

= 0.5 x 0.22222222222222 x 4433

= 492.55555555556 = 493

No of mobiles produced a machine in one hour = $\frac{1}{88}$ x $\frac{1}{9}$ x 4433

= 0.011363636363636 x 492.55555555556

= 5.5972222222222 = 6

93 machines can produce 5134 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 31 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 380

Mobiles produced in 1 hr

Answer: 6

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
93	9	5134
31	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 93 to 31, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{31}{93}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{9}$

x = $\frac{31}{93}$ x $\frac{2}{9}$ x 5134

= 0.33333333333333 x 0.22222222222222 x 5134

= 380.2962962963 = 380

No of mobiles produced a machine in one hour = $\frac{1}{93}$ x $\frac{1}{9}$ x 5134

= 0.010752688172043 x 570.44444444444

= 6.1338112305854 = 6

93 machines can produce 4989 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 24 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 552

Mobiles produced in 1 hr

Answer: 8

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
93	7	4989
24	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 93 to 24, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{24}{93}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 7 to 3, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{3}{7}$

x = $\frac{24}{93}$ x $\frac{3}{7}$ x 4989

= 0.25806451612903 x 0.42857142857143 x 4989

= 551.77880184332 = 552

No of mobiles produced a machine in one hour = $\frac{1}{93}$ x $\frac{1}{7}$ x 4989

= 0.010752688172043 x 712.71428571429

= 7.6635944700461 = 8

72 machines can produce 5044 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 50 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 701

Mobiles produced in 1 hr

Answer: 7

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
72	10	5044
50	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 72 to 50, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{50}{72}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 10 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{10}$

x = $\frac{50}{72}$ x $\frac{2}{10}$ x 5044

= 0.69444444444444 x 0.2 x 5044

= 700.55555555556 = 701

No of mobiles produced a machine in one hour = $\frac{1}{72}$ x $\frac{1}{10}$ x 5044

= 0.013888888888889 x 504.4

= 7.0055555555556 = 7

10)

92 machines can produce 4594 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 27 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 449

Mobiles produced in 1 hr

Answer: 6

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
92	9	4594
27	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 92 to 27, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{27}{92}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 3, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{3}{9}$

x = $\frac{27}{92}$ x $\frac{3}{9}$ x 4594

= 0.29347826086957 x 0.33333333333333 x 4594

= 449.41304347826 = 449

No of mobiles produced a machine in one hour = $\frac{1}{92}$ x $\frac{1}{9}$ x 4594

= 0.010869565217391 x 510.44444444444

= 5.548309178744 = 6