Sasi Math (Revised for 1024)

Scroll:Fraction >> 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.

Narayanan 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 $424 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Pugal 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 $486 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Ovini 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 $745 for herself.

a) What fraction of her salary did she have left

b) How much was her 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 $788 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Balaji 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 $828 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 $675 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___

Answer:_______________

Murugan 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 $632 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Kalai 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 $552 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Parveen 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:_______________

10)

Aravindh 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 $748 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Narayanan 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 $424 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $1590

SOLUTION 1 :

Spent

Sister

$424 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 = $424

1 unit = $424 ÷ 4

= $106

Step 4: 15 units= 15 x $106

=$1590

Pugal 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 $486 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $2916

SOLUTION 1 :

Spent

Sister

$486 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 = $486

Step 4: 6 units= $486 x 6

=$2916

Ovini 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 $745 for herself.

a) What fraction of her salary did she have left

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

b) How much was her salary

Answer: $1788

SOLUTION 1 :

Spent

Sister

$745 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 = $745

1 unit = $745 ÷ 5

= $149

Step 4: 12 units= 12 x $149

=$1788

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 $788 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $2955

SOLUTION 1 :

Spent

Sister

$788 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 = $788

1 unit = $788 ÷ 4

= $197

Step 4: 15 units= 15 x $197

=$2955

Balaji 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 $828 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $4968

SOLUTION 1 :

Spent

Sister

$828 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 = $828

Step 4: 6 units= $828 x 6

=$4968

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 $675 for herself.

a) What fraction of her salary did she have left

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

b) How much was her salary

Answer: $1620

SOLUTION 1 :

Spent

Sister

$675 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 = $675

1 unit = $675 ÷ 5

= $135

Step 4: 12 units= 12 x $135

=$1620

Murugan 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 $632 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $2370

SOLUTION 1 :

Spent

Sister

$632 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 = $632

1 unit = $632 ÷ 4

= $158

Step 4: 15 units= 15 x $158

=$2370

Kalai 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 $552 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $3312

SOLUTION 1 :

Spent

Sister

$552 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 = $552

Step 4: 6 units= $552 x 6

=$3312

Parveen 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

10)

Aravindh 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 $748 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $2805

SOLUTION 1 :

Spent

Sister

$748 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 = $748

1 unit = $748 ÷ 4

= $187

Step 4: 15 units= 15 x $187

=$2805