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 51%, there are now 152 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 44%, there are now 273 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 45%, there are now 420 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 16%, there are now 297 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 146 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 43%, there are now 342 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 47%, there are now 144 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 204 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 25%, there are now 200 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 35%, there are now 420 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 51% increase	→100% + 51%
		= 151%
Step 4:	Difference in % of marbles	→151% - 75%
		= 76%
Step 5:	76%	→152
	1%	→ $\frac{152}{76%}$
	Number of blue marbles at the start 100%	→ $\frac{152}{76%}$ x $\frac{100%}{1}$
		= 200

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 44% increase	→100% + 44%
		= 144%
Step 4:	Difference in % of marbles	→144% - 105%
		= 39%
Step 5:	39%	→273
	1%	→ $\frac{273}{39%}$
	Number of blue marbles at the start 100%	→ $\frac{273}{39%}$ x $\frac{100%}{1}$
		= 700

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 45% increase	→100% + 45%
		= 145%
Step 4:	Difference in % of marbles	→145% - 75%
		= 70%
Step 5:	70%	→420
	1%	→ $\frac{420}{70%}$
	Number of blue marbles at the start 100%	→ $\frac{420}{70%}$ x $\frac{100%}{1}$
		= 600

Answer: 2700

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 16% increase	→100% + 16%
		= 116%
Step 4:	Difference in % of marbles	→116% - 105%
		= 11%
Step 5:	11%	→297
	1%	→ $\frac{297}{11%}$
	Number of blue marbles at the start 100%	→ $\frac{297}{11%}$ x $\frac{100%}{1}$
		= 2700

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 48% increase	→100% + 48%
		= 148%
Step 4:	Difference in % of marbles	→148% - 75%
		= 73%
Step 5:	73%	→146
	1%	→ $\frac{146}{73%}$
	Number of blue marbles at the start 100%	→ $\frac{146}{73%}$ 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 43% increase	→100% + 43%
		= 143%
Step 4:	Difference in % of marbles	→143% - 105%
		= 38%
Step 5:	38%	→342
	1%	→ $\frac{342}{38%}$
	Number of blue marbles at the start 100%	→ $\frac{342}{38%}$ x $\frac{100%}{1}$
		= 900

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 47% increase	→100% + 47%
		= 147%
Step 4:	Difference in % of marbles	→147% - 75%
		= 72%
Step 5:	72%	→144
	1%	→ $\frac{144}{72%}$
	Number of blue marbles at the start 100%	→ $\frac{144}{72%}$ 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 39% increase	→100% + 39%
		= 139%
Step 4:	Difference in % of marbles	→139% - 105%
		= 34%
Step 5:	34%	→204
	1%	→ $\frac{204}{34%}$
	Number of blue marbles at the start 100%	→ $\frac{204}{34%}$ x $\frac{100%}{1}$
		= 600

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 25% increase	→100% + 25%
		= 125%
Step 4:	Difference in % of marbles	→125% - 75%
		= 50%
Step 5:	50%	→200
	1%	→ $\frac{200}{50%}$
	Number of blue marbles at the start 100%	→ $\frac{200}{50%}$ x $\frac{100%}{1}$
		= 400

10)

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 35% increase	→100% + 35%
		= 135%
Step 4:	Difference in % of marbles	→135% - 105%
		= 30%
Step 5:	30%	→420
	1%	→ $\frac{420}{30%}$
	Number of blue marbles at the start 100%	→ $\frac{420}{30%}$ x $\frac{100%}{1}$
		= 1400