Scroll:Fractions >> Four Operations of Fractions >> 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)  

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 $700 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




2)  

Chidambaram spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $612 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




3)  

Barathan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $688 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




4)  

Chellamal spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $760 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




5)  

Pugal spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $786 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




6)  

Narayanan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $584 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




7)  

Amutha spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $790 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




8)  

Pugal 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)  

Narayanan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $884 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




10)  

Tulasi spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $515 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




 

1)  

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 $700 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1680


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$700 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $700


              1 unit = $700 ÷ 5


                         = $140


Step 4: 12 units= 12 x $140


                             =$1680



2)  

Chidambaram spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $612 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $3672


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$612 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $612

Step 4: 6 units= $612 x 6

                       =$3672



3)  

Barathan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $688 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2580


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$688 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $688

                1 unit = $688 ÷ 4

                           = $172

Step 4: 15 units= 15 x $172

                             =$2580



4)  

Chellamal spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $760 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1824


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$760 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $760


              1 unit = $760 ÷ 5


                         = $152


Step 4: 12 units= 12 x $152


                             =$1824



5)  

Pugal spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $786 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $4716


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$786 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $786

Step 4: 6 units= $786 x 6

                       =$4716



6)  

Narayanan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $584 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2190


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$584 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $584

                1 unit = $584 ÷ 4

                           = $146

Step 4: 15 units= 15 x $146

                             =$2190



7)  

Amutha spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $790 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1896


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$790 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $790


              1 unit = $790 ÷ 5


                         = $158


Step 4: 12 units= 12 x $158


                             =$1896



8)  

Pugal 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)  

Narayanan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $884 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $3315


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$884 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $884

                1 unit = $884 ÷ 4

                           = $221

Step 4: 15 units= 15 x $221

                             =$3315



10)  

Tulasi spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $515 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1236


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$515 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $515


              1 unit = $515 ÷ 5


                         = $103


Step 4: 12 units= 12 x $103


                             =$1236