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.

Prem 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 $700 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Sriram 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 $864 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 $440 for herself.

a) What fraction of her salary did she have left

b) How much was her 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 $504 for himself.

a) What fraction of his salary did he have left

b) How much was his 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 $666 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Nandini 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 $475 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___

Answer:_______________

Barathan 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 $804 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Anand 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 $840 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 $420 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___

Answer:_______________

10)

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 $820 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Prem 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 $700 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $2625

SOLUTION 1 :

Spent

Sister

$700 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 = $700

1 unit = $700 ÷ 4

= $175

Step 4: 15 units= 15 x $175

=$2625

Sriram 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 $864 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $5184

SOLUTION 1 :

Spent

Sister

$864 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 = $864

Step 4: 6 units= $864 x 6

=$5184

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 $440 for herself.

a) What fraction of her salary did she have left

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

b) How much was her salary

Answer: $1056

SOLUTION 1 :

Spent

Sister

$440 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 = $440

1 unit = $440 ÷ 5

= $88

Step 4: 12 units= 12 x $88

=$1056

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 $504 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $1890

SOLUTION 1 :

Spent

Sister

$504 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 = $504

1 unit = $504 ÷ 4

= $126

Step 4: 15 units= 15 x $126

=$1890

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 $666 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $3996

SOLUTION 1 :

Spent

Sister

$666 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 = $666

Step 4: 6 units= $666 x 6

=$3996

Nandini 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 $475 for herself.

a) What fraction of her salary did she have left

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

b) How much was her salary

Answer: $1140

SOLUTION 1 :

Spent

Sister

$475 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 = $475

1 unit = $475 ÷ 5

= $95

Step 4: 12 units= 12 x $95

=$1140

Barathan 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 $804 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $3015

SOLUTION 1 :

Spent

Sister

$804 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 = $804

1 unit = $804 ÷ 4

= $201

Step 4: 15 units= 15 x $201

=$3015

Anand 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 $840 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $5040

SOLUTION 1 :

Spent

Sister

$840 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 = $840

Step 4: 6 units= $840 x 6

=$5040

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 $420 for herself.

a) What fraction of her salary did she have left

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

b) How much was her salary

Answer: $1008

SOLUTION 1 :

Spent

Sister

$420 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 = $420

1 unit = $420 ÷ 5

= $84

Step 4: 12 units= 12 x $84

=$1008

10)

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 $820 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $3075

SOLUTION 1 :

Spent

Sister

$820 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 = $820

1 unit = $820 ÷ 4

= $205

Step 4: 15 units= 15 x $205

=$3075