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.

85 machines can produce 5622 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 47 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

86 machines can produce 4705 identical mobiles in 7 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:_______________

74 machines can produce 4608 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 24 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

74 machines can produce 5594 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 29 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

95 machines can produce 5814 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 34 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

83 machines can produce 4546 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 23 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

88 machines can produce 4663 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 33 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

62 machines can produce 5704 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 39 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

70 machines can produce 4471 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:_______________

10)

82 machines can produce 4172 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 48 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

85 machines can produce 5622 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 47 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 1943

Mobiles produced in 1 hr

Answer: 8

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
85	8	5622
47	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 85 to 47, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{47}{85}$

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 = $\frac{47}{85}$ x $\frac{5}{8}$ x 5622

= 0.55294117647059 x 0.625 x 5622

= 1942.8970588235 = 1943

No of mobiles produced a machine in one hour = $\frac{1}{85}$ x $\frac{1}{8}$ x 5622

= 0.011764705882353 x 702.75

= 8.2676470588235 = 8

86 machines can produce 4705 identical mobiles in 7 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: 938

Mobiles produced in 1 hr

Answer: 8

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
86	7	4705
40	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 86 to 40, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{40}{86}$

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 = $\frac{40}{86}$ x $\frac{3}{7}$ x 4705

= 0.46511627906977 x 0.42857142857143 x 4705

= 937.87375415282 = 938

No of mobiles produced a machine in one hour = $\frac{1}{86}$ x $\frac{1}{7}$ x 4705

= 0.011627906976744 x 672.14285714286

= 7.8156146179402 = 8

74 machines can produce 4608 identical mobiles in 8 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 24 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 747

Mobiles produced in 1 hr

Answer: 8

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
74	8	4608
24	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 74 to 24, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{24}{74}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 8 to 4, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{4}{8}$

x = $\frac{24}{74}$ x $\frac{4}{8}$ x 4608

= 0.32432432432432 x 0.5 x 4608

= 747.24324324324 = 747

No of mobiles produced a machine in one hour = $\frac{1}{74}$ x $\frac{1}{8}$ x 4608

= 0.013513513513514 x 576

= 7.7837837837838 = 8

74 machines can produce 5594 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 29 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 1827

Mobiles produced in 1 hr

Answer: 13

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
74	6	5594
29	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 74 to 29, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{29}{74}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 6 to 5, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{5}{6}$

x = $\frac{29}{74}$ x $\frac{5}{6}$ x 5594

= 0.39189189189189 x 0.83333333333333 x 5594

= 1826.8693693694 = 1827

No of mobiles produced a machine in one hour = $\frac{1}{74}$ x $\frac{1}{6}$ x 5594

= 0.013513513513514 x 932.33333333333

= 12.599099099099 = 13

95 machines can produce 5814 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 34 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 925

Mobiles produced in 1 hr

Answer: 7

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
95	9	5814
34	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 95 to 34, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{34}{95}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 4, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{4}{9}$

x = $\frac{34}{95}$ x $\frac{4}{9}$ x 5814

= 0.35789473684211 x 0.44444444444444 x 5814

= 924.8 = 925

No of mobiles produced a machine in one hour = $\frac{1}{95}$ x $\frac{1}{9}$ x 5814

= 0.010526315789474 x 646

= 6.8 = 7

83 machines can produce 4546 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 23 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 560

Mobiles produced in 1 hr

Answer: 6

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
83	9	4546
23	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 83 to 23, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{23}{83}$

Step :2

Consider the mobiles & hrs. As the No of hrs decreases from 9 to 4, the mobiles also decreases.

It is in direct variation

The multiplying factor = $\frac{4}{9}$

x = $\frac{23}{83}$ x $\frac{4}{9}$ x 4546

= 0.27710843373494 x 0.44444444444444 x 4546

= 559.88219544846 = 560

No of mobiles produced a machine in one hour = $\frac{1}{83}$ x $\frac{1}{9}$ x 4546

= 0.012048192771084 x 505.11111111111

= 6.0856760374833 = 6

88 machines can produce 4663 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 33 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 389

Mobiles produced in 1 hr

Answer: 6

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
88	9	4663
33	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 88 to 33, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{33}{88}$

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 = $\frac{33}{88}$ x $\frac{2}{9}$ x 4663

= 0.375 x 0.22222222222222 x 4663

= 388.58333333333 = 389

No of mobiles produced a machine in one hour = $\frac{1}{88}$ x $\frac{1}{9}$ x 4663

= 0.011363636363636 x 518.11111111111

= 5.8876262626263 = 6

62 machines can produce 5704 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 39 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 2563

Mobiles produced in 1 hr

Answer: 13

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
62	7	5704
39	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 62 to 39, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{39}{62}$

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 = $\frac{39}{62}$ x $\frac{5}{7}$ x 5704

= 0.62903225806452 x 0.71428571428571 x 5704

= 2562.8571428571 = 2563

No of mobiles produced a machine in one hour = $\frac{1}{62}$ x $\frac{1}{7}$ x 5704

= 0.016129032258065 x 814.85714285714

= 13.142857142857 = 13

70 machines can produce 4471 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: 1796

Mobiles produced in 1 hr

Answer: 8

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
70	8	4471
45	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 70 to 45, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{45}{70}$

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 = $\frac{45}{70}$ x $\frac{5}{8}$ x 4471

= 0.64285714285714 x 0.625 x 4471

= 1796.3839285714 = 1796

No of mobiles produced a machine in one hour = $\frac{1}{70}$ x $\frac{1}{8}$ x 4471

= 0.014285714285714 x 558.875

= 7.9839285714286 = 8

10)

82 machines can produce 4172 identical mobiles in 10 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 48 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 977

Mobiles produced in 1 hr

Answer: 5

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
82	10	4172
48	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 82 to 48, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{48}{82}$

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 = $\frac{48}{82}$ x $\frac{4}{10}$ x 4172

= 0.58536585365854 x 0.4 x 4172

= 976.85853658537 = 977

No of mobiles produced a machine in one hour = $\frac{1}{82}$ x $\frac{1}{10}$ x 4172

= 0.01219512195122 x 417.2

= 5.0878048780488 = 5