Sasi Math (Revised for 1024)

Scroll:Percentage >> Multiplication in Percentage >> ps (2902)

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.

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 39%, there are now 128 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 34%, there are now 174 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 36%, there are now 427 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 48%, there are now 430 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 37%, there are now 434 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 30%, there are now 175 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 37%, there are now 310 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 36%, there are now 155 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

There are 25% more red marbles than blue marbles in a bag. After I removed 40% of the red marbles and increased the number of blue marbles by another 49%, there are now 370 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

10)

There are 50% more red marbles than blue marbles in a bag. After I removed 30% of the red marbles and increased the number of blue marbles by another 54%, there are now 196 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

Answer: 200

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 39% increase	→100% + 39%
		= 139%
Step 4:	Difference in % of marbles	→139% - 75%
		= 64%
Step 5:	64%	→128
	1%	→ $\frac{128}{64%}$
	Number of blue marbles at the start 100%	→ $\frac{128}{64%}$ x $\frac{100%}{1}$
		= 200

Answer: 600

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 34% increase	→100% + 34%
		= 134%
Step 4:	Difference in % of marbles	→134% - 105%
		= 29%
Step 5:	29%	→174
	1%	→ $\frac{174}{29%}$
	Number of blue marbles at the start 100%	→ $\frac{174}{29%}$ x $\frac{100%}{1}$
		= 600

Answer: 700

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 36% increase	→100% + 36%
		= 136%
Step 4:	Difference in % of marbles	→136% - 75%
		= 61%
Step 5:	61%	→427
	1%	→ $\frac{427}{61%}$
	Number of blue marbles at the start 100%	→ $\frac{427}{61%}$ x $\frac{100%}{1}$
		= 700

Answer: 1000

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 48% increase	→100% + 48%
		= 148%
Step 4:	Difference in % of marbles	→148% - 105%
		= 43%
Step 5:	43%	→430
	1%	→ $\frac{430}{43%}$
	Number of blue marbles at the start 100%	→ $\frac{430}{43%}$ x $\frac{100%}{1}$
		= 1000

Answer: 700

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 37% increase	→100% + 37%
		= 137%
Step 4:	Difference in % of marbles	→137% - 75%
		= 62%
Step 5:	62%	→434
	1%	→ $\frac{434}{62%}$
	Number of blue marbles at the start 100%	→ $\frac{434}{62%}$ x $\frac{100%}{1}$
		= 700

Answer: 700

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 30% increase	→100% + 30%
		= 130%
Step 4:	Difference in % of marbles	→130% - 105%
		= 25%
Step 5:	25%	→175
	1%	→ $\frac{175}{25%}$
	Number of blue marbles at the start 100%	→ $\frac{175}{25%}$ x $\frac{100%}{1}$
		= 700

Answer: 500

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 37% increase	→100% + 37%
		= 137%
Step 4:	Difference in % of marbles	→137% - 75%
		= 62%
Step 5:	62%	→310
	1%	→ $\frac{310}{62%}$
	Number of blue marbles at the start 100%	→ $\frac{310}{62%}$ x $\frac{100%}{1}$
		= 500

Answer: 500

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 36% increase	→100% + 36%
		= 136%
Step 4:	Difference in % of marbles	→136% - 105%
		= 31%
Step 5:	31%	→155
	1%	→ $\frac{155}{31%}$
	Number of blue marbles at the start 100%	→ $\frac{155}{31%}$ x $\frac{100%}{1}$
		= 500

Answer: 500

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→125%	(at first)
Step 2:	% of red marbles removed	→ $\frac{40}{100}$ x 125%
		= 50%
	% of red marbles left	→125% - 50%
		= 75%
Step 3:	% of blue marbles after the 49% increase	→100% + 49%
		= 149%
Step 4:	Difference in % of marbles	→149% - 75%
		= 74%
Step 5:	74%	→370
	1%	→ $\frac{370}{74%}$
	Number of blue marbles at the start 100%	→ $\frac{370}{74%}$ x $\frac{100%}{1}$
		= 500

10)

Answer: 400

SOLUTION 1 :

Step 1:	Blue marbles	→100%	(at first)
	Red marbles	→150%	(at first)
Step 2:	% of red marbles removed	→ $\frac{30}{100}$ x 150%
		= 45%
	% of red marbles left	→150% - 45%
		= 105%
Step 3:	% of blue marbles after the 54% increase	→100% + 54%
		= 154%
Step 4:	Difference in % of marbles	→154% - 105%
		= 49%
Step 5:	49%	→196
	1%	→ $\frac{196}{49%}$
	Number of blue marbles at the start 100%	→ $\frac{196}{49%}$ x $\frac{100%}{1}$
		= 400