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 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 33%, there are now 280 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 16%, there are now 205 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 37%, there are now 128 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 18%, there are now 430 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 31%, there are now 208 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 16%, there are now 164 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 39%, there are now 170 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 39%, there are now 256 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 53%, there are now 432 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

10)

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 53%, there are now 234 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

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 33% increase	→100% + 33%
		= 133%
Step 4:	Difference in % of marbles	→133% - 105%
		= 28%
Step 5:	28%	→280
	1%	→ $\frac{280}{28%}$
	Number of blue marbles at the start 100%	→ $\frac{280}{28%}$ x $\frac{100%}{1}$
		= 1000

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 16% increase	→100% + 16%
		= 116%
Step 4:	Difference in % of marbles	→116% - 75%
		= 41%
Step 5:	41%	→205
	1%	→ $\frac{205}{41%}$
	Number of blue marbles at the start 100%	→ $\frac{205}{41%}$ x $\frac{100%}{1}$
		= 500

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 37% increase	→100% + 37%
		= 137%
Step 4:	Difference in % of marbles	→137% - 105%
		= 32%
Step 5:	32%	→128
	1%	→ $\frac{128}{32%}$
	Number of blue marbles at the start 100%	→ $\frac{128}{32%}$ x $\frac{100%}{1}$
		= 400

Answer: 1000

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 18% increase	→100% + 18%
		= 118%
Step 4:	Difference in % of marbles	→118% - 75%
		= 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: 800

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 31% increase	→100% + 31%
		= 131%
Step 4:	Difference in % of marbles	→131% - 105%
		= 26%
Step 5:	26%	→208
	1%	→ $\frac{208}{26%}$
	Number of blue marbles at the start 100%	→ $\frac{208}{26%}$ x $\frac{100%}{1}$
		= 800

Answer: 400

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 16% increase	→100% + 16%
		= 116%
Step 4:	Difference in % of marbles	→116% - 75%
		= 41%
Step 5:	41%	→164
	1%	→ $\frac{164}{41%}$
	Number of blue marbles at the start 100%	→ $\frac{164}{41%}$ x $\frac{100%}{1}$
		= 400

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 39% increase	→100% + 39%
		= 139%
Step 4:	Difference in % of marbles	→139% - 105%
		= 34%
Step 5:	34%	→170
	1%	→ $\frac{170}{34%}$
	Number of blue marbles at the start 100%	→ $\frac{170}{34%}$ x $\frac{100%}{1}$
		= 500

Answer: 400

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%	→256
	1%	→ $\frac{256}{64%}$
	Number of blue marbles at the start 100%	→ $\frac{256}{64%}$ x $\frac{100%}{1}$
		= 400

Answer: 900

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 53% increase	→100% + 53%
		= 153%
Step 4:	Difference in % of marbles	→153% - 105%
		= 48%
Step 5:	48%	→432
	1%	→ $\frac{432}{48%}$
	Number of blue marbles at the start 100%	→ $\frac{432}{48%}$ x $\frac{100%}{1}$
		= 900

10)

Answer: 300

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 53% increase	→100% + 53%
		= 153%
Step 4:	Difference in % of marbles	→153% - 75%
		= 78%
Step 5:	78%	→234
	1%	→ $\frac{234}{78%}$
	Number of blue marbles at the start 100%	→ $\frac{234}{78%}$ x $\frac{100%}{1}$
		= 300