Scroll:Fractions >> 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)  

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 $595 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




2)  

Kumar spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $660 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 $896 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




4)  

Keerthi spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $490 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




5)  

Barathan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $462 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




6)  

Chidambaram spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $784 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




7)  

Jeevini spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $725 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




8)  

Moorthi spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $828 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___


Answer:_______________




9)  

Murugan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $684 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 $655 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___


Answer:_______________




 

1)  

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 $595 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1428


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$595 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $595


              1 unit = $595 ÷ 5


                         = $119


Step 4: 12 units= 12 x $119


                             =$1428



2)  

Kumar spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $660 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $3960


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$660 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $660

Step 4: 6 units= $660 x 6

                       =$3960



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 $896 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $3360


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$896 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $896

                1 unit = $896 ÷ 4

                           = $224

Step 4: 15 units= 15 x $224

                             =$3360



4)  

Keerthi spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $490 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1176


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$490 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $490


              1 unit = $490 ÷ 5


                         = $98


Step 4: 12 units= 12 x $98


                             =$1176



5)  

Barathan spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $462 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $2772


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$462 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $462

Step 4: 6 units= $462 x 6

                       =$2772



6)  

Chidambaram spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $784 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2940


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$784 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $784

                1 unit = $784 ÷ 4

                           = $196

Step 4: 15 units= 15 x $196

                             =$2940



7)  

Jeevini spent 14 of her salary on electronic devices and gave 13 of her salary to her sister. In the end, she was left with $725 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1740


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$725 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $725


              1 unit = $725 ÷ 5


                         = $145


Step 4: 12 units= 12 x $145


                             =$1740



8)  

Moorthi spent 12 of his salary on electronic devices and gave 13 of his salary to his sister. In the end, he was left with $828 for himself.

a) What fraction of his salary did he have left

Answer: 16

b) How much was his salary

Answer: $4968


SOLUTION 1 :
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$828 left

(a)

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

                        = 56

Step 2: 6 6 -56=16

(b)

Step 3: 1 unit = $828

Step 4: 6 units= $828 x 6

                       =$4968



9)  

Murugan spent 13 of his salary on food and gave 25 of his salary to his sister. In the end, he was left with $684 for himself.

a) What fraction of his salary did he have left

Answer: 415

b) How much was his salary

Answer: $2565


SOLUTION 1 :
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Spent
 
 
Sister
 
 
$684 left

(a)

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

                             = 1115

Step 2: 1515-1115=415

(b)

Step 3: 4 units = $684

                1 unit = $684 ÷ 4

                           = $171

Step 4: 15 units= 15 x $171

                             =$2565



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 $655 for herself.

a) What fraction of her salary did she have left

Answer: 512

b) How much was her salary

Answer: $1572


SOLUTION 1 :



 

 

 

 

 

 

 

 

 

 

 

 





 

 


Spent




 

 


Sister




 

 


$655 left





(a)


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


                              = 712


 Step 2: 1212-712 = 512


(b)


Step 3: 5 units = $655


              1 unit = $655 ÷ 5


                         = $131


Step 4: 12 units= 12 x $131


                             =$1572