Sasi Math (Revised for 1024)

Scroll:Percentage >> Percentage >> ps (2899)

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.

Mr Singh always gives 45% of his income to his wife. When his income is increased by 40%, he gives her $684 more. Find his income before the increase.

$ ___

Answer:_______________

Mr Richard always gives 25% of his income to his wife. When his income is increased by 20%, he gives her $775 more. Find his income before the increase.

$ ___

Answer:_______________

Prem saves 40% of his salary. When his salary is reduced by 35%, his savings is reduced by $672. How much is his salary at first

$ ___

Answer:_______________

Savithri saves 60% of her salary. When her salary is reduced by 10%, her savings is reduced by $450. How much is her salary at first

$ ___

Answer:_______________

Mr Tan always gives 40% of his income to his wife. When his income is increased by 60%, he gives her $936 more. Find his income before the increase.

$ ___

Answer:_______________

Mr Singh always gives 30% of his income to his wife. When his income is increased by 40%, he gives her $960 more. Find his income before the increase.

$ ___

Answer:_______________

Mr Richard always gives 40% of his income to his wife. When his income is increased by 20%, he gives her $888 more. Find his income before the increase.

$ ___

Answer:_______________

Murugan saves 40% of his salary. When his salary is reduced by 5%, his savings is reduced by $676. How much is his salary at first

$ ___

Answer:_______________

Haritha saves 60% of her salary. When her salary is reduced by 30%, her savings is reduced by $504. How much is her salary at first

$ ___

Answer:_______________

10)

Mr Tan always gives 30% of his income to his wife. When his income is increased by 60%, he gives her $558 more. Find his income before the increase.

$ ___

Answer:_______________

Mr Singh always gives 45% of his income to his wife. When his income is increased by 40%, he gives her $684 more. Find his income before the increase.

Answer: $3800

SOLUTION 1 :

Step 1:	Before the increase	→100%
	After the increase	→140%
Step 2:	45% of 140%	= $\frac{45}{100}$ x $\frac{140%}{1}$
		= 63%
Step 3:	Difference	→63% - 45%
		= 18%
Step 4:	18%	→$684
	1%	→ $\frac{$684}{18%}$
	100%	→ $\frac{$684}{18%}$ x $\frac{100%}{1}$
		= $3800

Mr Richard always gives 25% of his income to his wife. When his income is increased by 20%, he gives her $775 more. Find his income before the increase.

Answer: $15500

SOLUTION 1 :

Step 1:	Before the increase	→100%
	After the increase	→120%
Step 2:	25% of 120%	= $\frac{25}{100}$ x $\frac{120%}{1}$
		= 30%
Step 3:	Difference	→30% - 25%
		= 5%
Step 4:	5%	→$775
	1%	→ $\frac{$775}{5%}$
	100%	→ $\frac{$775}{5%}$ x $\frac{100%}{1}$
		= $15500

Prem saves 40% of his salary. When his salary is reduced by 35%, his savings is reduced by $672. How much is his salary at first

Answer: $4800

SOLUTION 1 :

Step 1:	Before the reduction	→100%
	After the reduction	→100% - 35%
		= 65%
Step 2:	40% of 65%	= $\frac{40}{100}$ x $\frac{65%}{1}$
		= 26%
Step 3:	Difference	→40% - 26%
		= 14%
Step 4:	14%	→$672
	1%	→ $\frac{$672}{14%}$
	100%	→ $\frac{$672}{14%}$ x $\frac{100%}{1}$
		= $4800

Savithri saves 60% of her salary. When her salary is reduced by 10%, her savings is reduced by $450. How much is her salary at first

Answer: $7500

SOLUTION 1 :

Step 1:	Before the reduction	→100%
	After the reduction	→100% - 10%
		= 90%
Step 2:	60% of 90%	= $\frac{60}{100}$ x $\frac{90%}{1}$
		= 54%
Step 3:	Difference	→60% - 54%
		= 6%
Step 4:	6%	→$450
	1%	→ $\frac{$450}{6%}$
	100%	→ $\frac{$450}{6%}$ x $\frac{100%}{1}$
		= $7500

Mr Tan always gives 40% of his income to his wife. When his income is increased by 60%, he gives her $936 more. Find his income before the increase.

Answer: $3900

SOLUTION 1 :

Step 1:	Before the increase	→100%
	After the increase	→160%
Step 2:	40% of 160%	= $\frac{40}{100}$ x $\frac{160%}{1}$
		= 64%
Step 3:	Difference	→64% - 40%
		= 24%
Step 4:	24%	→$936
	1%	→ $\frac{$936}{24%}$
	100%	→ $\frac{$936}{24%}$ x $\frac{100%}{1}$
		= $3900

Mr Singh always gives 30% of his income to his wife. When his income is increased by 40%, he gives her $960 more. Find his income before the increase.

Answer: $8000

SOLUTION 1 :

Step 1:	Before the increase	→100%
	After the increase	→140%
Step 2:	30% of 140%	= $\frac{30}{100}$ x $\frac{140%}{1}$
		= 42%
Step 3:	Difference	→42% - 30%
		= 12%
Step 4:	12%	→$960
	1%	→ $\frac{$960}{12%}$
	100%	→ $\frac{$960}{12%}$ x $\frac{100%}{1}$
		= $8000

Mr Richard always gives 40% of his income to his wife. When his income is increased by 20%, he gives her $888 more. Find his income before the increase.

Answer: $11100

SOLUTION 1 :

Step 1:	Before the increase	→100%
	After the increase	→120%
Step 2:	40% of 120%	= $\frac{40}{100}$ x $\frac{120%}{1}$
		= 48%
Step 3:	Difference	→48% - 40%
		= 8%
Step 4:	8%	→$888
	1%	→ $\frac{$888}{8%}$
	100%	→ $\frac{$888}{8%}$ x $\frac{100%}{1}$
		= $11100

Murugan saves 40% of his salary. When his salary is reduced by 5%, his savings is reduced by $676. How much is his salary at first

Answer: $33800

SOLUTION 1 :

Step 1:	Before the reduction	→100%
	After the reduction	→100% - 5%
		= 95%
Step 2:	40% of 95%	= $\frac{40}{100}$ x $\frac{95%}{1}$
		= 38%
Step 3:	Difference	→40% - 38%
		= 2%
Step 4:	2%	→$676
	1%	→ $\frac{$676}{2%}$
	100%	→ $\frac{$676}{2%}$ x $\frac{100%}{1}$
		= $33800

Haritha saves 60% of her salary. When her salary is reduced by 30%, her savings is reduced by $504. How much is her salary at first

Answer: $2800

SOLUTION 1 :

Step 1:	Before the reduction	→100%
	After the reduction	→100% - 30%
		= 70%
Step 2:	60% of 70%	= $\frac{60}{100}$ x $\frac{70%}{1}$
		= 42%
Step 3:	Difference	→60% - 42%
		= 18%
Step 4:	18%	→$504
	1%	→ $\frac{$504}{18%}$
	100%	→ $\frac{$504}{18%}$ x $\frac{100%}{1}$
		= $2800

10)

Mr Tan always gives 30% of his income to his wife. When his income is increased by 60%, he gives her $558 more. Find his income before the increase.

Answer: $3100

SOLUTION 1 :

Step 1:	Before the increase	→100%
	After the increase	→160%
Step 2:	30% of 160%	= $\frac{30}{100}$ x $\frac{160%}{1}$
		= 48%
Step 3:	Difference	→48% - 30%
		= 18%
Step 4:	18%	→$558
	1%	→ $\frac{$558}{18%}$
	100%	→ $\frac{$558}{18%}$ x $\frac{100%}{1}$
		= $3100