Sasi Math (Revised for 1024)

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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.

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 $505 for herself.

a) What fraction of her salary did she have left

b) How much was her 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 $660 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Murugan 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 $432 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Savithri 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 $690 for herself.

a) What fraction of her salary did she have left

b) How much was her salary

$ ___

Answer:_______________

Moorthi 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 $872 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 $750 for himself.

a) What fraction of his salary did he have left

b) How much was his salary

$ ___

Answer:_______________

Chellamal 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:_______________

Kumar 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 $556 for himself.

a) What fraction of his salary did he have left

b) How much was his 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 $816 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 $405 for herself.

a) What fraction of her salary did she have left

b) How much was her 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 $505 for herself.

a) What fraction of her salary did she have left

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

b) How much was her salary

Answer: $1212

SOLUTION 1 :

Spent

Sister

$505 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 = $505

1 unit = $505 ÷ 5

= $101

Step 4: 12 units= 12 x $101

=$1212

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 $660 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $2475

SOLUTION 1 :

Spent

Sister

$660 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 = $660

1 unit = $660 ÷ 4

= $165

Step 4: 15 units= 15 x $165

=$2475

Murugan 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 $432 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $2592

SOLUTION 1 :

Spent

Sister

$432 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 = $432

Step 4: 6 units= $432 x 6

=$2592

Savithri 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 $690 for herself.

a) What fraction of her salary did she have left

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

b) How much was her salary

Answer: $1656

SOLUTION 1 :

Spent

Sister

$690 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 = $690

1 unit = $690 ÷ 5

= $138

Step 4: 12 units= 12 x $138

=$1656

Moorthi 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 $872 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $3270

SOLUTION 1 :

Spent

Sister

$872 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 = $872

1 unit = $872 ÷ 4

= $218

Step 4: 15 units= 15 x $218

=$3270

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 $750 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $4500

SOLUTION 1 :

Spent

Sister

$750 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 = $750

Step 4: 6 units= $750 x 6

=$4500

Chellamal 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

Kumar 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 $556 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $2085

SOLUTION 1 :

Spent

Sister

$556 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 = $556

1 unit = $556 ÷ 4

= $139

Step 4: 15 units= 15 x $139

=$2085

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 $816 for himself.

a) What fraction of his salary did he have left

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

b) How much was his salary

Answer: $4896

SOLUTION 1 :

Spent

Sister

$816 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 = $816

Step 4: 6 units= $816 x 6

=$4896

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 $405 for herself.

a) What fraction of her salary did she have left

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

b) How much was her salary

Answer: $972

SOLUTION 1 :

Spent

Sister

$405 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 = $405

1 unit = $405 ÷ 5

= $81

Step 4: 12 units= 12 x $81

=$972