Sasi Math (Revised for 1024)

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.

Poovazhagi spent $\frac{1}{4}$ of her salary on electronic devices and gave $\frac{1}{3}$ of her salary to her sister. In the end, she was left with $605 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___

Answer:_______________

Prem spent $\frac{1}{2}$ of his salary on electronic devices and gave $\frac{1}{3}$ of his salary to his sister. In the end, he was left with $690 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Pugal spent $\frac{1}{3}$ of his salary on food and gave $\frac{2}{5}$ of his salary to his sister. In the end, he was left with $864 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Tamilselvi spent $\frac{1}{4}$ of her salary on electronic devices and gave $\frac{1}{3}$ of her salary to her sister. In the end, she was left with $630 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___

Answer:_______________

Chidambaram spent $\frac{1}{2}$ of his salary on electronic devices and gave $\frac{1}{3}$ of his salary to his sister. In the end, he was left with $852 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Anand spent $\frac{1}{3}$ of his salary on food and gave $\frac{2}{5}$ of his salary to his sister. In the end, he was left with $824 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Amutha spent $\frac{1}{4}$ of her salary on electronic devices and gave $\frac{1}{3}$ 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:_______________

Narayanan spent $\frac{1}{2}$ of his salary on electronic devices and gave $\frac{1}{3}$ of his salary to his sister. In the end, he was left with $648 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Karna spent $\frac{1}{3}$ of his salary on food and gave $\frac{2}{5}$ 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:_______________

10)

Keerthi spent $\frac{1}{4}$ of her salary on electronic devices and gave $\frac{1}{3}$ of her salary to her sister. In the end, she was left with $605 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___

Answer:_______________

Poovazhagi spent $\frac{1}{4}$ of her salary on electronic devices and gave $\frac{1}{3}$ of her salary to her sister. In the end, she was left with $605 for herself.

a) What fraction of her salary did she have left

Answer: $\frac{5}{12}$

b) How much was her salary

Answer: $1452

SOLUTION 1 :

Spent

Sister

$605 left

(a)

Step 1: $\frac{1x3}{4x3}$ + $\frac{1x4}{3x4}$ = $\frac{3}{12}$ + $\frac{4}{12}$

= $\frac{7}{12}$

Step 2: $\frac{12}{12}$ - $\frac{7}{12}$ = $\frac{5}{12}$

(b)

Step 3: 5 units = $605

1 unit = $605 ÷ 5

= $121

Step 4: 12 units= 12 x $121

=$1452

Prem spent $\frac{1}{2}$ of his salary on electronic devices and gave $\frac{1}{3}$ of his salary to his sister. In the end, he was left with $690 for himself.

a) What fraction of his salary did he have left

Answer: $\frac{1}{6}$

b) How much was his salary

Answer: $4140

SOLUTION 1 :

Spent

Sister

$690 left

(a)

Step 1: $\frac{1x3}{2x3}$ + $\frac{1x2}{3x2}$ = $\frac{3}{6}$ + $\frac{2}{6}$

= $\frac{5}{6}$

Step 2: $\frac{6}{6}$ - $\frac{5}{6}$ = $\frac{1}{6}$

(b)

Step 3: 1 unit = $690

Step 4: 6 units= $690 x 6

=$4140

Pugal spent $\frac{1}{3}$ of his salary on food and gave $\frac{2}{5}$ of his salary to his sister. In the end, he was left with $864 for himself.

a) What fraction of his salary did he have left

Answer: $\frac{4}{15}$

b) How much was his salary

Answer: $3240

SOLUTION 1 :

Spent

Sister

$864 left

(a)

Step 1: $\frac{1x5}{3x5}$ + $\frac{2x3}{5x3}$ = $\frac{5}{15}$ + $\frac{6}{15}$

= $\frac{11}{15}$

Step 2: $\frac{15}{15}$ - $\frac{11}{15}$ = $\frac{4}{15}$

(b)

Step 3: 4 units = $864

1 unit = $864 ÷ 4

= $216

Step 4: 15 units= 15 x $216

=$3240

Tamilselvi spent $\frac{1}{4}$ of her salary on electronic devices and gave $\frac{1}{3}$ of her salary to her sister. In the end, she was left with $630 for herself.

a) What fraction of her salary did she have left

Answer: $\frac{5}{12}$

b) How much was her salary

Answer: $1512

SOLUTION 1 :

Spent

Sister

$630 left

(a)

Step 1: $\frac{1x3}{4x3}$ + $\frac{1x4}{3x4}$ = $\frac{3}{12}$ + $\frac{4}{12}$

= $\frac{7}{12}$

Step 2: $\frac{12}{12}$ - $\frac{7}{12}$ = $\frac{5}{12}$

(b)

Step 3: 5 units = $630

1 unit = $630 ÷ 5

= $126

Step 4: 12 units= 12 x $126

=$1512

Chidambaram spent $\frac{1}{2}$ of his salary on electronic devices and gave $\frac{1}{3}$ of his salary to his sister. In the end, he was left with $852 for himself.

a) What fraction of his salary did he have left

Answer: $\frac{1}{6}$

b) How much was his salary

Answer: $5112

SOLUTION 1 :

Spent

Sister

$852 left

(a)

Step 1: $\frac{1x3}{2x3}$ + $\frac{1x2}{3x2}$ = $\frac{3}{6}$ + $\frac{2}{6}$

= $\frac{5}{6}$

Step 2: $\frac{6}{6}$ - $\frac{5}{6}$ = $\frac{1}{6}$

(b)

Step 3: 1 unit = $852

Step 4: 6 units= $852 x 6

=$5112

Anand spent $\frac{1}{3}$ of his salary on food and gave $\frac{2}{5}$ of his salary to his sister. In the end, he was left with $824 for himself.

a) What fraction of his salary did he have left

Answer: $\frac{4}{15}$

b) How much was his salary

Answer: $3090

SOLUTION 1 :

Spent

Sister

$824 left

(a)

Step 1: $\frac{1x5}{3x5}$ + $\frac{2x3}{5x3}$ = $\frac{5}{15}$ + $\frac{6}{15}$

= $\frac{11}{15}$

Step 2: $\frac{15}{15}$ - $\frac{11}{15}$ = $\frac{4}{15}$

(b)

Step 3: 4 units = $824

1 unit = $824 ÷ 4

= $206

Step 4: 15 units= 15 x $206

=$3090

Amutha spent $\frac{1}{4}$ of her salary on electronic devices and gave $\frac{1}{3}$ 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: $\frac{5}{12}$

b) How much was her salary

Answer: $1032

SOLUTION 1 :

Spent

Sister

$430 left

(a)

Step 1: $\frac{1x3}{4x3}$ + $\frac{1x4}{3x4}$ = $\frac{3}{12}$ + $\frac{4}{12}$

= $\frac{7}{12}$

Step 2: $\frac{12}{12}$ - $\frac{7}{12}$ = $\frac{5}{12}$

(b)

Step 3: 5 units = $430

1 unit = $430 ÷ 5

= $86

Step 4: 12 units= 12 x $86

=$1032

Narayanan spent $\frac{1}{2}$ of his salary on electronic devices and gave $\frac{1}{3}$ of his salary to his sister. In the end, he was left with $648 for himself.

a) What fraction of his salary did he have left

Answer: $\frac{1}{6}$

b) How much was his salary

Answer: $3888

SOLUTION 1 :

Spent

Sister

$648 left

(a)

Step 1: $\frac{1x3}{2x3}$ + $\frac{1x2}{3x2}$ = $\frac{3}{6}$ + $\frac{2}{6}$

= $\frac{5}{6}$

Step 2: $\frac{6}{6}$ - $\frac{5}{6}$ = $\frac{1}{6}$

(b)

Step 3: 1 unit = $648

Step 4: 6 units= $648 x 6

=$3888

Karna spent $\frac{1}{3}$ of his salary on food and gave $\frac{2}{5}$ 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: $\frac{4}{15}$

b) How much was his salary

Answer: $2940

SOLUTION 1 :

Spent

Sister

$784 left

(a)

Step 1: $\frac{1x5}{3x5}$ + $\frac{2x3}{5x3}$ = $\frac{5}{15}$ + $\frac{6}{15}$

= $\frac{11}{15}$

Step 2: $\frac{15}{15}$ - $\frac{11}{15}$ = $\frac{4}{15}$

(b)

Step 3: 4 units = $784

1 unit = $784 ÷ 4

= $196

Step 4: 15 units= 15 x $196

=$2940

10)

Keerthi spent $\frac{1}{4}$ of her salary on electronic devices and gave $\frac{1}{3}$ of her salary to her sister. In the end, she was left with $605 for herself.

a) What fraction of her salary did she have left

Answer: $\frac{5}{12}$

b) How much was her salary

Answer: $1452

SOLUTION 1 :

Spent

Sister

$605 left

(a)

Step 1: $\frac{1x3}{4x3}$ + $\frac{1x4}{3x4}$ = $\frac{3}{12}$ + $\frac{4}{12}$

= $\frac{7}{12}$

Step 2: $\frac{12}{12}$ - $\frac{7}{12}$ = $\frac{5}{12}$

(b)

Step 3: 5 units = $605

1 unit = $605 ÷ 5

= $121

Step 4: 12 units= 12 x $121

=$1452