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.

80 machines can produce 4632 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 32 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

76 machines can produce 5144 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:_______________

85 machines can produce 4642 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 43 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Mobiles produced in 1 hr

Answer:_______________

84 machines can produce 5053 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 32 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Mobiles produced in 1 hr

Answer:_______________

80 machines can produce 4184 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 45 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

86 machines can produce 5052 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 30 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Mobiles produced in 1 hr

Answer:_______________

78 machines can produce 5309 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:_______________

89 machines can produce 5198 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 35 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

82 machines can produce 5100 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 31 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

10)

73 machines can produce 4471 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 46 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Mobiles produced in 1 hr

Answer:_______________

80 machines can produce 4632 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 32 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 618

Mobiles produced in 1 hr

Answer: 10

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
80	6	4632
32	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 80 to 32, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{32}{80}$

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 = $\frac{32}{80}$ x $\frac{2}{6}$ x 4632

= 0.4 x 0.33333333333333 x 4632

= 617.6 = 618

No of mobiles produced a machine in one hour = $\frac{1}{80}$ x $\frac{1}{6}$ x 4632

= 0.0125 x 772

= 9.65 = 10

76 machines can produce 5144 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: 1547

Mobiles produced in 1 hr

Answer: 10

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
76	7	5144
32	5

Step :1

Consider the machines & mobiles.As the No of machines decreases from 76 to 32, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{32}{76}$

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 = $\frac{32}{76}$ x $\frac{5}{7}$ x 5144

= 0.42105263157895 x 0.71428571428571 x 5144

= 1547.0676691729 = 1547

No of mobiles produced a machine in one hour = $\frac{1}{76}$ x $\frac{1}{7}$ x 5144

= 0.013157894736842 x 734.85714285714

= 9.6691729323308 = 10

85 machines can produce 4642 identical mobiles in 9 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 43 machines produce in 5 hrs.

Mobiles produced in 5 hrs

Answer: 1305

Mobiles produced in 1 hr

Answer: 6

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
85	9	4642
43	5

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 9 to 5, the mobiles also decreases.

It is in direct variation

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

x = $\frac{43}{85}$ x $\frac{5}{9}$ x 4642

= 0.50588235294118 x 0.55555555555556 x 4642

= 1304.614379085 = 1305

No of mobiles produced a machine in one hour = $\frac{1}{85}$ x $\frac{1}{9}$ x 4642

= 0.011764705882353 x 515.77777777778

= 6.0679738562092 = 6

84 machines can produce 5053 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 32 machines produce in 2 hrs.

Mobiles produced in 2 hrs

Answer: 642

Mobiles produced in 1 hr

Answer: 10

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
84	6	5053
32	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 84 to 32, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{32}{84}$

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 = $\frac{32}{84}$ x $\frac{2}{6}$ x 5053

= 0.38095238095238 x 0.33333333333333 x 5053

= 641.65079365079 = 642

No of mobiles produced a machine in one hour = $\frac{1}{84}$ x $\frac{1}{6}$ x 5053

= 0.011904761904762 x 842.16666666667

= 10.025793650794 = 10

80 machines can produce 4184 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 45 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 1177

Mobiles produced in 1 hr

Answer: 9

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
80	6	4184
45	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 80 to 45, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{45}{80}$

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 = $\frac{45}{80}$ x $\frac{3}{6}$ x 4184

= 0.5625 x 0.5 x 4184

= 1176.75 = 1177

No of mobiles produced a machine in one hour = $\frac{1}{80}$ x $\frac{1}{6}$ x 4184

= 0.0125 x 697.33333333333

= 8.7166666666667 = 9

86 machines can produce 5052 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 30 machines produce in 4 hrs.

Mobiles produced in 4 hrs

Answer: 1007

Mobiles produced in 1 hr

Answer: 8

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
86	7	5052
30	4

Step :1

Consider the machines & mobiles.As the No of machines decreases from 86 to 30, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{30}{86}$

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 = $\frac{30}{86}$ x $\frac{4}{7}$ x 5052

= 0.34883720930233 x 0.57142857142857 x 5052

= 1007.0431893688 = 1007

No of mobiles produced a machine in one hour = $\frac{1}{86}$ x $\frac{1}{7}$ x 5052

= 0.011627906976744 x 721.71428571429

= 8.3920265780731 = 8

78 machines can produce 5309 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: 596

Mobiles produced in 1 hr

Answer: 9

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
78	8	5309
35	2

Step :1

Consider the machines & mobiles.As the No of machines decreases from 78 to 35, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{35}{78}$

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 = $\frac{35}{78}$ x $\frac{2}{8}$ x 5309

= 0.44871794871795 x 0.25 x 5309

= 595.5608974359 = 596

No of mobiles produced a machine in one hour = $\frac{1}{78}$ x $\frac{1}{8}$ x 5309

= 0.012820512820513 x 663.625

= 8.5080128205128 = 9

89 machines can produce 5198 identical mobiles in 6 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 35 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 1022

Mobiles produced in 1 hr

Answer: 10

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
89	6	5198
35	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 89 to 35, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{35}{89}$

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 = $\frac{35}{89}$ x $\frac{3}{6}$ x 5198

= 0.39325842696629 x 0.5 x 5198

= 1022.0786516854 = 1022

No of mobiles produced a machine in one hour = $\frac{1}{89}$ x $\frac{1}{6}$ x 5198

= 0.01123595505618 x 866.33333333333

= 9.7340823970037 = 10

82 machines can produce 5100 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 31 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 826

Mobiles produced in 1 hr

Answer: 9

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
82	7	5100
31	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 82 to 31, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{31}{82}$

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 = $\frac{31}{82}$ x $\frac{3}{7}$ x 5100

= 0.3780487804878 x 0.42857142857143 x 5100

= 826.30662020906 = 826

No of mobiles produced a machine in one hour = $\frac{1}{82}$ x $\frac{1}{7}$ x 5100

= 0.01219512195122 x 728.57142857143

= 8.8850174216028 = 9

10)

73 machines can produce 4471 identical mobiles in 7 hrs. How many mobiles can one machine produce in one hourHow many mobiles would 46 machines produce in 3 hrs.

Mobiles produced in 3 hrs

Answer: 1207

Mobiles produced in 1 hr

Answer: 9

SOLUTION 1 :

Soln :

No of machines	No of hrs	No of mobiles
73	7	4471
46	3

Step :1

Consider the machines & mobiles.As the No of machines decreases from 73 to 46, the no of mobiles decreases.

It is in direct variation.

The multiplying factor = $\frac{46}{73}$

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 = $\frac{46}{73}$ x $\frac{3}{7}$ x 4471

= 0.63013698630137 x 0.42857142857143 x 4471

= 1207.4324853229 = 1207

No of mobiles produced a machine in one hour = $\frac{1}{73}$ x $\frac{1}{7}$ x 4471

= 0.013698630136986 x 638.71428571429

= 8.7495107632094 = 9