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.

64 machines can produce 4130 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 45 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

99 machines can produce 5377 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 20 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

84 machines can produce 4495 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 49 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

81 machines can produce 5508 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 35 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

67 machines can produce 5808 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 29 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

77 machines can produce 5793 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 49 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

81 machines can produce 5795 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 46 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

69 machines can produce 4121 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 34 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

75 machines can produce 4575 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 30 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

10)

85 machines can produce 5696 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 43 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

64 machines can produce 4130 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 45 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 1815

Mobiles produced in 1 hr

Answer: 8

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
64	8	4130
45	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 64 to 45, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{45}{64}$

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 = $\frac{45}{64}$ x $\frac{5}{8}$ x 4130

= 0.703125 x 0.625 x 4130

= 1814.94140625 = 1815

No of mobiles produced a machine in one hour = $\frac{1}{64}$ x $\frac{1}{8}$ x 4130

= 0.015625 x 516.25

= 8.06640625 = 8

99 machines can produce 5377 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 20 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 326

Mobiles produced in 1 hr

Answer: 5

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
99	10	5377
20	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 99 to 20, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{20}{99}$

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 = $\frac{20}{99}$ x $\frac{3}{10}$ x 5377

= 0.20202020202 x 0.3 x 5377

= 325.878787879 = 326

No of mobiles produced a machine in one hour = $\frac{1}{99}$ x $\frac{1}{10}$ x 5377

= 0.010101010101 x 537.7

= 5.43131313131 = 5

84 machines can produce 4495 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 49 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 1311

Mobiles produced in 1 hr

Answer: 9

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
84	6	4495
49	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 84 to 49, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{49}{84}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 6 to 3, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{3}{6}$

x = $\frac{49}{84}$ x $\frac{3}{6}$ x 4495

= 0.583333333333 x 0.5 x 4495

= 1311.04166667 = 1311

No of mobiles produced a machine in one hour = $\frac{1}{84}$ x $\frac{1}{6}$ x 4495

= 0.0119047619048 x 749.166666667

= 8.91865079365 = 9

81 machines can produce 5508 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 35 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 595

Mobiles produced in 1 hr

Answer: 9

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
81	8	5508
35	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 81 to 35, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{35}{81}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 8 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{8}$

x = $\frac{35}{81}$ x $\frac{2}{8}$ x 5508

= 0.432098765432 x 0.25 x 5508

= 595 = 595

No of mobiles produced a machine in one hour = $\frac{1}{81}$ x $\frac{1}{8}$ x 5508

= 0.0123456790123 x 688.5

= 8.5 = 9

67 machines can produce 5808 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 29 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 503

Mobiles produced in 1 hr

Answer: 9

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
67	10	5808
29	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 67 to 29, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{29}{67}$

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 = $\frac{29}{67}$ x $\frac{2}{10}$ x 5808

= 0.432835820896 x 0.2 x 5808

= 502.782089552 = 503

No of mobiles produced a machine in one hour = $\frac{1}{67}$ x $\frac{1}{10}$ x 5808

= 0.0149253731343 x 580.8

= 8.66865671642 = 9

77 machines can produce 5793 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 49 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 2107

Mobiles produced in 1 hr

Answer: 11

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
77	7	5793
49	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 77 to 49, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{49}{77}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 7 to 4, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{4}{7}$

x = $\frac{49}{77}$ x $\frac{4}{7}$ x 5793

= 0.636363636364 x 0.571428571429 x 5793

= 2106.54545455 = 2107

No of mobiles produced a machine in one hour = $\frac{1}{77}$ x $\frac{1}{7}$ x 5793

= 0.012987012987 x 827.571428571

= 10.7476808905 = 11

81 machines can produce 5795 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 46 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 1645

Mobiles produced in 1 hr

Answer: 7

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
81	10	5795
46	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 81 to 46, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{46}{81}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 10 to 5, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{5}{10}$

x = $\frac{46}{81}$ x $\frac{5}{10}$ x 5795

= 0.567901234568 x 0.5 x 5795

= 1645.49382716 = 1645

No of mobiles produced a machine in one hour = $\frac{1}{81}$ x $\frac{1}{10}$ x 5795

= 0.0123456790123 x 579.5

= 7.15432098765 = 7

69 machines can produce 4121 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 34 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 609

Mobiles produced in 1 hr

Answer: 6

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
69	10	4121
34	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 69 to 34, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{34}{69}$

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 = $\frac{34}{69}$ x $\frac{3}{10}$ x 4121

= 0.492753623188 x 0.3 x 4121

= 609.191304348 = 609

No of mobiles produced a machine in one hour = $\frac{1}{69}$ x $\frac{1}{10}$ x 4121

= 0.0144927536232 x 412.1

= 5.97246376812 = 6

75 machines can produce 4575 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 30 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 1017

Mobiles produced in 1 hr

Answer: 7

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
75	9	4575
30	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 75 to 30, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{30}{75}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 5, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{5}{9}$

x = $\frac{30}{75}$ x $\frac{5}{9}$ x 4575

= 0.4 x 0.555555555556 x 4575

= 1016.66666667 = 1017

No of mobiles produced a machine in one hour = $\frac{1}{75}$ x $\frac{1}{9}$ x 4575

= 0.0133333333333 x 508.333333333

= 6.77777777778 = 7

10)

85 machines can produce 5696 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 43 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 961

Mobiles produced in 1 hr

Answer: 11

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
85	6	5696
43	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 85 to 43, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{43}{85}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 6 to 2, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{2}{6}$

x = $\frac{43}{85}$ x $\frac{2}{6}$ x 5696

= 0.505882352941 x 0.333333333333 x 5696

= 960.501960784 = 961

No of mobiles produced a machine in one hour = $\frac{1}{85}$ x $\frac{1}{6}$ x 5696

= 0.0117647058824 x 949.333333333

= 11.168627451 = 11