Sasi Math (Revised for 1024)

Scroll:Life mathematics >> profit and loss >> saq (4294)

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.

If 27compositors can compose 50 pages of a book in 9 hrs,how many compositors will compose 87 pages of this book in 17 hrs

Answer:_______________

If 24compositors can compose 70 pages of a book in 8 hrs,how many compositors will compose 93 pages of this book in 23 hrs

Answer:_______________

If 25compositors can compose 50 pages of a book in 6 hrs,how many compositors will compose 91 pages of this book in 23 hrs

Answer:_______________

If 30compositors can compose 50 pages of a book in 5 hrs,how many compositors will compose 93 pages of this book in 17 hrs

Answer:_______________

If 24compositors can compose 65 pages of a book in 5 hrs,how many compositors will compose 89 pages of this book in 24 hrs

Answer:_______________

If 23compositors can compose 50 pages of a book in 5 hrs,how many compositors will compose 89 pages of this book in 24 hrs

Answer:_______________

If 26compositors can compose 60 pages of a book in 5 hrs,how many compositors will compose 94 pages of this book in 21 hrs

Answer:_______________

If 20compositors can compose 55 pages of a book in 6 hrs,how many compositors will compose 80 pages of this book in 16 hrs

Answer:_______________

If 23compositors can compose 50 pages of a book in 10 hrs,how many compositors will compose 98 pages of this book in 15 hrs

Answer:_______________

10)

If 26compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 100 pages of this book in 18 hrs

Answer:_______________

If 27compositors can compose 50 pages of a book in 9 hrs,how many compositors will compose 87 pages of this book in 17 hrs

Answer: 25

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
27	9	50
	17	87

Consider the compositors and pages

As the No of pages increase from 50 to 87 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{87}{50}$

Consider the copmositors and hours .

As the No of hrs increases from 9 to 17 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{9}{17}$

x = $\frac{87}{50}$ x $\frac{9}{17}$ x 27

= 1.74 x 0.529411764706 x 27

= 25

If 24compositors can compose 70 pages of a book in 8 hrs,how many compositors will compose 93 pages of this book in 23 hrs

Answer: 11

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
24	8	70
	23	93

Consider the compositors and pages

As the No of pages increase from 70 to 93 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{93}{70}$

Consider the copmositors and hours .

As the No of hrs increases from 8 to 23 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{8}{23}$

x = $\frac{93}{70}$ x $\frac{8}{23}$ x 24

= 1.32857142857 x 0.347826086957 x 24

= 11

If 25compositors can compose 50 pages of a book in 6 hrs,how many compositors will compose 91 pages of this book in 23 hrs

Answer: 12

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
25	6	50
	23	91

Consider the compositors and pages

As the No of pages increase from 50 to 91 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{91}{50}$

Consider the copmositors and hours .

As the No of hrs increases from 6 to 23 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{6}{23}$

x = $\frac{91}{50}$ x $\frac{6}{23}$ x 25

= 1.82 x 0.260869565217 x 25

= 12

If 30compositors can compose 50 pages of a book in 5 hrs,how many compositors will compose 93 pages of this book in 17 hrs

Answer: 16

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
30	5	50
	17	93

Consider the compositors and pages

As the No of pages increase from 50 to 93 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{93}{50}$

Consider the copmositors and hours .

As the No of hrs increases from 5 to 17 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{5}{17}$

x = $\frac{93}{50}$ x $\frac{5}{17}$ x 30

= 1.86 x 0.294117647059 x 30

= 16

If 24compositors can compose 65 pages of a book in 5 hrs,how many compositors will compose 89 pages of this book in 24 hrs

Answer: 7

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
24	5	65
	24	89

Consider the compositors and pages

As the No of pages increase from 65 to 89 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{89}{65}$

Consider the copmositors and hours .

As the No of hrs increases from 5 to 24 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{5}{24}$

x = $\frac{89}{65}$ x $\frac{5}{24}$ x 24

= 1.36923076923 x 0.208333333333 x 24

= 7

If 23compositors can compose 50 pages of a book in 5 hrs,how many compositors will compose 89 pages of this book in 24 hrs

Answer: 9

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
23	5	50
	24	89

Consider the compositors and pages

As the No of pages increase from 50 to 89 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{89}{50}$

Consider the copmositors and hours .

As the No of hrs increases from 5 to 24 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{5}{24}$

x = $\frac{89}{50}$ x $\frac{5}{24}$ x 23

= 1.78 x 0.208333333333 x 23

= 9

If 26compositors can compose 60 pages of a book in 5 hrs,how many compositors will compose 94 pages of this book in 21 hrs

Answer: 10

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
26	5	60
	21	94

Consider the compositors and pages

As the No of pages increase from 60 to 94 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{94}{60}$

Consider the copmositors and hours .

As the No of hrs increases from 5 to 21 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{5}{21}$

x = $\frac{94}{60}$ x $\frac{5}{21}$ x 26

= 1.56666666667 x 0.238095238095 x 26

= 10

If 20compositors can compose 55 pages of a book in 6 hrs,how many compositors will compose 80 pages of this book in 16 hrs

Answer: 11

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
20	6	55
	16	80

Consider the compositors and pages

As the No of pages increase from 55 to 80 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{80}{55}$

Consider the copmositors and hours .

As the No of hrs increases from 6 to 16 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{6}{16}$

x = $\frac{80}{55}$ x $\frac{6}{16}$ x 20

= 1.45454545455 x 0.375 x 20

= 11

If 23compositors can compose 50 pages of a book in 10 hrs,how many compositors will compose 98 pages of this book in 15 hrs

Answer: 30

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
23	10	50
	15	98

Consider the compositors and pages

As the No of pages increase from 50 to 98 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{98}{50}$

Consider the copmositors and hours .

As the No of hrs increases from 10 to 15 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{10}{15}$

x = $\frac{98}{50}$ x $\frac{10}{15}$ x 23

= 1.96 x 0.666666666667 x 23

= 30

10)

If 26compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 100 pages of this book in 18 hrs

Answer: 16

SOLUTION 1 :

Soln :

Number of compositors	Number of hrs	Number of pages
26	7	65
	18	100

Consider the compositors and pages

As the No of pages increase from 65 to 100 & theNo of compositors also increases.

It is in direct variation.

The multiplying factor = $\frac{100}{65}$

Consider the copmositors and hours .

As the No of hrs increases from 7 to 18 & the No of compositors decreases .

it is in inverse variation.

The multiplying factor = $\frac{7}{18}$

x = $\frac{100}{65}$ x $\frac{7}{18}$ x 26

= 1.53846153846 x 0.388888888889 x 26

= 16