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.

Mr Tan always gives 30% of his income to his wife. When his income is increased by 60%, he gives her $450 more. Find his income before the increase.

$ ___

Answer:_______________

Mr Richard always gives 50% of his income to his wife. When his income is increased by 20%, he gives her $770 more. Find his income before the increase.

$ ___

Answer:_______________

Mr Singh always gives 55% of his income to his wife. When his income is increased by 40%, he gives her $528 more. Find his income before the increase.

$ ___

Answer:_______________

Raj saves 40% of his salary. When his salary is reduced by 25%, his savings is reduced by $760. How much is his salary at first

$ ___

Answer:_______________

Kumutha saves 60% of her salary. When her salary is reduced by 20%, her savings is reduced by $708. How much is her salary at first

$ ___

Answer:_______________

Mr Tan always gives 45% of his income to his wife. When his income is increased by 60%, he gives her $783 more. Find his income before the increase.

$ ___

Answer:_______________

Mr Richard always gives 30% of his income to his wife. When his income is increased by 20%, he gives her $990 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 $378 more. Find his income before the increase.

$ ___

Answer:_______________

Aravindh saves 40% of his salary. When his salary is reduced by 10%, his savings is reduced by $804. How much is his salary at first

$ ___

Answer:_______________

10)

Nandini saves 60% of her salary. When her salary is reduced by 5%, her savings is reduced by $204. How much is her salary at first

$ ___

Answer:_______________

Mr Tan always gives 30% of his income to his wife. When his income is increased by 60%, he gives her $450 more. Find his income before the increase.

Answer: $2500

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%	→$450
	1%	→ $\frac{$450}{18%}$
	100%	→ $\frac{$450}{18%}$ x $\frac{100%}{1}$
		= $2500

Mr Richard always gives 50% of his income to his wife. When his income is increased by 20%, he gives her $770 more. Find his income before the increase.

Answer: $7700

SOLUTION 1 :

Step 1:	Before the increase	→100%
	After the increase	→120%
Step 2:	50% of 120%	= $\frac{50}{100}$ x $\frac{120%}{1}$
		= 60%
Step 3:	Difference	→60% - 50%
		= 10%
Step 4:	10%	→$770
	1%	→ $\frac{$770}{10%}$
	100%	→ $\frac{$770}{10%}$ x $\frac{100%}{1}$
		= $7700

Mr Singh always gives 55% of his income to his wife. When his income is increased by 40%, he gives her $528 more. Find his income before the increase.

Answer: $2400

SOLUTION 1 :

Step 1:	Before the increase	→100%
	After the increase	→140%
Step 2:	55% of 140%	= $\frac{55}{100}$ x $\frac{140%}{1}$
		= 77%
Step 3:	Difference	→77% - 55%
		= 22%
Step 4:	22%	→$528
	1%	→ $\frac{$528}{22%}$
	100%	→ $\frac{$528}{22%}$ x $\frac{100%}{1}$
		= $2400

Raj saves 40% of his salary. When his salary is reduced by 25%, his savings is reduced by $760. How much is his salary at first

Answer: $7600

SOLUTION 1 :

Step 1:	Before the reduction	→100%
	After the reduction	→100% - 25%
		= 75%
Step 2:	40% of 75%	= $\frac{40}{100}$ x $\frac{75%}{1}$
		= 30%
Step 3:	Difference	→40% - 30%
		= 10%
Step 4:	10%	→$760
	1%	→ $\frac{$760}{10%}$
	100%	→ $\frac{$760}{10%}$ x $\frac{100%}{1}$
		= $7600

Kumutha saves 60% of her salary. When her salary is reduced by 20%, her savings is reduced by $708. How much is her salary at first

Answer: $5900

SOLUTION 1 :

Step 1:	Before the reduction	→100%
	After the reduction	→100% - 20%
		= 80%
Step 2:	60% of 80%	= $\frac{60}{100}$ x $\frac{80%}{1}$
		= 48%
Step 3:	Difference	→60% - 48%
		= 12%
Step 4:	12%	→$708
	1%	→ $\frac{$708}{12%}$
	100%	→ $\frac{$708}{12%}$ x $\frac{100%}{1}$
		= $5900

Mr Tan always gives 45% of his income to his wife. When his income is increased by 60%, he gives her $783 more. Find his income before the increase.

Answer: $2900

SOLUTION 1 :

Step 1:	Before the increase	→100%
	After the increase	→160%
Step 2:	45% of 160%	= $\frac{45}{100}$ x $\frac{160%}{1}$
		= 72%
Step 3:	Difference	→72% - 45%
		= 27%
Step 4:	27%	→$783
	1%	→ $\frac{$783}{27%}$
	100%	→ $\frac{$783}{27%}$ x $\frac{100%}{1}$
		= $2900

Mr Richard always gives 30% of his income to his wife. When his income is increased by 20%, he gives her $990 more. Find his income before the increase.

Answer: $16500

SOLUTION 1 :

Step 1:	Before the increase	→100%
	After the increase	→120%
Step 2:	30% of 120%	= $\frac{30}{100}$ x $\frac{120%}{1}$
		= 36%
Step 3:	Difference	→36% - 30%
		= 6%
Step 4:	6%	→$990
	1%	→ $\frac{$990}{6%}$
	100%	→ $\frac{$990}{6%}$ x $\frac{100%}{1}$
		= $16500

Mr Singh always gives 45% of his income to his wife. When his income is increased by 40%, he gives her $378 more. Find his income before the increase.

Answer: $2100

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%	→$378
	1%	→ $\frac{$378}{18%}$
	100%	→ $\frac{$378}{18%}$ x $\frac{100%}{1}$
		= $2100

Aravindh saves 40% of his salary. When his salary is reduced by 10%, his savings is reduced by $804. How much is his salary at first

Answer: $20100

SOLUTION 1 :

Step 1:	Before the reduction	→100%
	After the reduction	→100% - 10%
		= 90%
Step 2:	40% of 90%	= $\frac{40}{100}$ x $\frac{90%}{1}$
		= 36%
Step 3:	Difference	→40% - 36%
		= 4%
Step 4:	4%	→$804
	1%	→ $\frac{$804}{4%}$
	100%	→ $\frac{$804}{4%}$ x $\frac{100%}{1}$
		= $20100

10)

Nandini saves 60% of her salary. When her salary is reduced by 5%, her savings is reduced by $204. How much is her salary at first

Answer: $6800

SOLUTION 1 :

Step 1:	Before the reduction	→100%
	After the reduction	→100% - 5%
		= 95%
Step 2:	60% of 95%	= $\frac{60}{100}$ x $\frac{95%}{1}$
		= 57%
Step 3:	Difference	→60% - 57%
		= 3%
Step 4:	3%	→$204
	1%	→ $\frac{$204}{3%}$
	100%	→ $\frac{$204}{3%}$ x $\frac{100%}{1}$
		= $6800