Scroll:Fraction >> Model Approach >> ps (380)


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.



 

1)  

Pugal spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $748 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




2)  

Selvan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $768 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




3)  

Thamarai spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $570 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




4)  

Balaji spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $520 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




5)  

Sriram spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $486 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




6)  

Swathi spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $855 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




7)  

Prem spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $528 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




8)  

Anand spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $534 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




9)  

Indra spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $600 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




10)  

Barathan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $728 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




 

1)  

Pugal spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $748 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2805


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$748 left

(a)

Step 1: 1x53x5+2x35x3 = 5 15+615

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $748

                1 unit = $748 ÷ 4

                           = $187

Step 4: 15 units= 15 x $187

                             =$2805



2)  

Selvan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $768 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $4608


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$768 left

(a)

Step 1: 1x32x3+1x23x2 = 3 6+26

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $768

Step 4: 6 units= $768 x 6

                       =$4608



3)  

Thamarai spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $570 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1368


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$570 left





(a)


Step 1: 1x34x3+1x43x4 = 3 12+412


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $570


              1 unit = $570 ÷ 5


                         = $114


Step 4: 12 units= 12 x $114


                             =$1368



4)  

Balaji spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $520 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $1950


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$520 left

(a)

Step 1: 1x53x5+2x35x3 = 5 15+615

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $520

                1 unit = $520 ÷ 4

                           = $130

Step 4: 15 units= 15 x $130

                             =$1950



5)  

Sriram spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $486 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $2916


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$486 left

(a)

Step 1: 1x32x3+1x23x2 = 3 6+26

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $486

Step 4: 6 units= $486 x 6

                       =$2916



6)  

Swathi spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $855 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $2052


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$855 left





(a)


Step 1: 1x34x3+1x43x4 = 3 12+412


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $855


              1 unit = $855 ÷ 5


                         = $171


Step 4: 12 units= 12 x $171


                             =$2052



7)  

Prem spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $528 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $1980


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$528 left

(a)

Step 1: 1x53x5+2x35x3 = 5 15+615

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $528

                1 unit = $528 ÷ 4

                           = $132

Step 4: 15 units= 15 x $132

                             =$1980



8)  

Anand spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $534 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $3204


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$534 left

(a)

Step 1: 1x32x3+1x23x2 = 3 6+26

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $534

Step 4: 6 units= $534 x 6

                       =$3204



9)  

Indra spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $600 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1440


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$600 left





(a)


Step 1: 1x34x3+1x43x4 = 3 12+412


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $600


              1 unit = $600 ÷ 5


                         = $120


Step 4: 12 units= 12 x $120


                             =$1440



10)  

Barathan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $728 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2730


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$728 left

(a)

Step 1: 1x53x5+2x35x3 = 5 15+615

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $728

                1 unit = $728 ÷ 4

                           = $182

Step 4: 15 units= 15 x $182

                             =$2730