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 26%, there are now 168 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 52%, there are now 231 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 192 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 23%, there are now 432 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 27%, there are now 220 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 43%, there are now 136 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 22%, there are now 153 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 22%, there are now 329 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 22%, there are now 357 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 39%, there are now 384 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

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 26% increase	→100% + 26%
		= 126%
Step 4:	Difference in % of marbles	→126% - 105%
		= 21%
Step 5:	21%	→168
	1%	→ $\frac{168}{21%}$
	Number of blue marbles at the start 100%	→ $\frac{168}{21%}$ x $\frac{100%}{1}$
		= 800

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 52% increase	→100% + 52%
		= 152%
Step 4:	Difference in % of marbles	→152% - 75%
		= 77%
Step 5:	77%	→231
	1%	→ $\frac{231}{77%}$
	Number of blue marbles at the start 100%	→ $\frac{231}{77%}$ x $\frac{100%}{1}$
		= 300

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 37% increase	→100% + 37%
		= 137%
Step 4:	Difference in % of marbles	→137% - 105%
		= 32%
Step 5:	32%	→192
	1%	→ $\frac{192}{32%}$
	Number of blue marbles at the start 100%	→ $\frac{192}{32%}$ x $\frac{100%}{1}$
		= 600

Answer: 900

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 23% increase	→100% + 23%
		= 123%
Step 4:	Difference in % of marbles	→123% - 75%
		= 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

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 27% increase	→100% + 27%
		= 127%
Step 4:	Difference in % of marbles	→127% - 105%
		= 22%
Step 5:	22%	→220
	1%	→ $\frac{220}{22%}$
	Number of blue marbles at the start 100%	→ $\frac{220}{22%}$ x $\frac{100%}{1}$
		= 1000

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 43% increase	→100% + 43%
		= 143%
Step 4:	Difference in % of marbles	→143% - 75%
		= 68%
Step 5:	68%	→136
	1%	→ $\frac{136}{68%}$
	Number of blue marbles at the start 100%	→ $\frac{136}{68%}$ x $\frac{100%}{1}$
		= 200

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 22% increase	→100% + 22%
		= 122%
Step 4:	Difference in % of marbles	→122% - 105%
		= 17%
Step 5:	17%	→153
	1%	→ $\frac{153}{17%}$
	Number of blue marbles at the start 100%	→ $\frac{153}{17%}$ x $\frac{100%}{1}$
		= 900

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 22% increase	→100% + 22%
		= 122%
Step 4:	Difference in % of marbles	→122% - 75%
		= 47%
Step 5:	47%	→329
	1%	→ $\frac{329}{47%}$
	Number of blue marbles at the start 100%	→ $\frac{329}{47%}$ x $\frac{100%}{1}$
		= 700

Answer: 2100

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 22% increase	→100% + 22%
		= 122%
Step 4:	Difference in % of marbles	→122% - 105%
		= 17%
Step 5:	17%	→357
	1%	→ $\frac{357}{17%}$
	Number of blue marbles at the start 100%	→ $\frac{357}{17%}$ x $\frac{100%}{1}$
		= 2100

10)

Answer: 600

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%	→384
	1%	→ $\frac{384}{64%}$
	Number of blue marbles at the start 100%	→ $\frac{384}{64%}$ x $\frac{100%}{1}$
		= 600