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 21%, there are now 336 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 48%, there are now 292 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 33%, there are now 476 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 34%, there are now 413 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 29%, there are now 288 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 192 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 480 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 32%, there are now 114 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 238 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 34%, there are now 472 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

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 21% increase	→100% + 21%
		= 121%
Step 4:	Difference in % of marbles	→121% - 105%
		= 16%
Step 5:	16%	→336
	1%	→ $\frac{336}{16%}$
	Number of blue marbles at the start 100%	→ $\frac{336}{16%}$ x $\frac{100%}{1}$
		= 2100

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 48% increase	→100% + 48%
		= 148%
Step 4:	Difference in % of marbles	→148% - 75%
		= 73%
Step 5:	73%	→292
	1%	→ $\frac{292}{73%}$
	Number of blue marbles at the start 100%	→ $\frac{292}{73%}$ x $\frac{100%}{1}$
		= 400

Answer: 1700

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%	→476
	1%	→ $\frac{476}{28%}$
	Number of blue marbles at the start 100%	→ $\frac{476}{28%}$ x $\frac{100%}{1}$
		= 1700

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 34% increase	→100% + 34%
		= 134%
Step 4:	Difference in % of marbles	→134% - 75%
		= 59%
Step 5:	59%	→413
	1%	→ $\frac{413}{59%}$
	Number of blue marbles at the start 100%	→ $\frac{413}{59%}$ x $\frac{100%}{1}$
		= 700

Answer: 1200

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 29% increase	→100% + 29%
		= 129%
Step 4:	Difference in % of marbles	→129% - 105%
		= 24%
Step 5:	24%	→288
	1%	→ $\frac{288}{24%}$
	Number of blue marbles at the start 100%	→ $\frac{288}{24%}$ x $\frac{100%}{1}$
		= 1200

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 23% increase	→100% + 23%
		= 123%
Step 4:	Difference in % of marbles	→123% - 75%
		= 48%
Step 5:	48%	→192
	1%	→ $\frac{192}{48%}$
	Number of blue marbles at the start 100%	→ $\frac{192}{48%}$ x $\frac{100%}{1}$
		= 400

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 53% increase	→100% + 53%
		= 153%
Step 4:	Difference in % of marbles	→153% - 105%
		= 48%
Step 5:	48%	→480
	1%	→ $\frac{480}{48%}$
	Number of blue marbles at the start 100%	→ $\frac{480}{48%}$ 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 32% increase	→100% + 32%
		= 132%
Step 4:	Difference in % of marbles	→132% - 75%
		= 57%
Step 5:	57%	→114
	1%	→ $\frac{114}{57%}$
	Number of blue marbles at the start 100%	→ $\frac{114}{57%}$ x $\frac{100%}{1}$
		= 200

Answer: 1400

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%	→238
	1%	→ $\frac{238}{17%}$
	Number of blue marbles at the start 100%	→ $\frac{238}{17%}$ x $\frac{100%}{1}$
		= 1400

10)

Answer: 800

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 34% increase	→100% + 34%
		= 134%
Step 4:	Difference in % of marbles	→134% - 75%
		= 59%
Step 5:	59%	→472
	1%	→ $\frac{472}{59%}$
	Number of blue marbles at the start 100%	→ $\frac{472}{59%}$ x $\frac{100%}{1}$
		= 800