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)  

Panimalar spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $805 for herself.

a) What fraction of her salary did she have left

b) How much was her 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 $726 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




3)  

Narayanan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $668 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




4)  

Tamilselvi spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $555 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




5)  

Kalai spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $456 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




6)  

Balaji spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $812 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




7)  

Haritha spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $575 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




8)  

Narayanan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $444 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




9)  

Barathan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $880 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




10)  

Ramani spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $430 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




 

1)  

Panimalar spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $805 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1932


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$805 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $805


              1 unit = $805 ÷ 5


                         = $161


Step 4: 12 units= 12 x $161


                             =$1932



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 $726 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $4356


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$726 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $726

Step 4: 6 units= $726 x 6

                       =$4356



3)  

Narayanan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $668 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2505


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$668 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $668

                1 unit = $668 ÷ 4

                           = $167

Step 4: 15 units= 15 x $167

                             =$2505



4)  

Tamilselvi spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $555 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1332


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$555 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $555


              1 unit = $555 ÷ 5


                         = $111


Step 4: 12 units= 12 x $111


                             =$1332



5)  

Kalai spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $456 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $2736


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$456 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $456

Step 4: 6 units= $456 x 6

                       =$2736



6)  

Balaji spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $812 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $3045


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$812 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $812

                1 unit = $812 ÷ 4

                           = $203

Step 4: 15 units= 15 x $203

                             =$3045



7)  

Haritha spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $575 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1380


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$575 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $575


              1 unit = $575 ÷ 5


                         = $115


Step 4: 12 units= 12 x $115


                             =$1380



8)  

Narayanan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $444 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $2664


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$444 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $444

Step 4: 6 units= $444 x 6

                       =$2664



9)  

Barathan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $880 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $3300


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$880 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $880

                1 unit = $880 ÷ 4

                           = $220

Step 4: 15 units= 15 x $220

                             =$3300



10)  

Ramani spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $430 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1032


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$430 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $430


              1 unit = $430 ÷ 5


                         = $86


Step 4: 12 units= 12 x $86


                             =$1032