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.

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 $790 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___

Answer:_______________

Raj 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 $402 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 $608 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Ramani 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 $415 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___

Answer:_______________

Barathan 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 $582 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Sriram 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 $728 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Mithra 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 $490 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 $660 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Balaji 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 $692 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

10)

Chithra 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 $510 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___

Answer:_______________

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 $790 for herself.

a) What fraction of her salary did she have left

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

b) How much was her salary

Answer: $1896

SOLUTION 1 :

Spent

Sister

$790 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 = $790

1 unit = $790 ÷ 5

= $158

Step 4: 12 units= 12 x $158

=$1896

Raj 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 $402 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $2412

SOLUTION 1 :

Spent

Sister

$402 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 = $402

Step 4: 6 units= $402 x 6

=$2412

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 $608 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $2280

SOLUTION 1 :

Spent

Sister

$608 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 = $608

1 unit = $608 ÷ 4

= $152

Step 4: 15 units= 15 x $152

=$2280

Ramani 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 $415 for herself.

a) What fraction of her salary did she have left

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

b) How much was her salary

Answer: $996

SOLUTION 1 :

Spent

Sister

$415 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 = $415

1 unit = $415 ÷ 5

= $83

Step 4: 12 units= 12 x $83

=$996

Barathan 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 $582 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $3492

SOLUTION 1 :

Spent

Sister

$582 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 = $582

Step 4: 6 units= $582 x 6

=$3492

Sriram 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 $728 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $2730

SOLUTION 1 :

Spent

Sister

$728 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 = $728

1 unit = $728 ÷ 4

= $182

Step 4: 15 units= 15 x $182

=$2730

Mithra 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 $490 for herself.

a) What fraction of her salary did she have left

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

b) How much was her salary

Answer: $1176

SOLUTION 1 :

Spent

Sister

$490 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 = $490

1 unit = $490 ÷ 5

= $98

Step 4: 12 units= 12 x $98

=$1176

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 $660 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $3960

SOLUTION 1 :

Spent

Sister

$660 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 = $660

Step 4: 6 units= $660 x 6

=$3960

Balaji 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 $692 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $2595

SOLUTION 1 :

Spent

Sister

$692 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 = $692

1 unit = $692 ÷ 4

= $173

Step 4: 15 units= 15 x $173

=$2595

10)

Chithra 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 $510 for herself.

a) What fraction of her salary did she have left

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

b) How much was her salary

Answer: $1224

SOLUTION 1 :

Spent

Sister

$510 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 = $510

1 unit = $510 ÷ 5

= $102

Step 4: 12 units= 12 x $102

=$1224