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 24%, there are now 171 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 26%, there are now 459 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 54%, there are now 147 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 15%, there are now 120 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 40%, there are now 140 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 35%, there are now 300 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 18%, there are now 286 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 53%, there are now 390 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 17%, there are now 228 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 38%, there are now 126 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

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 24% increase	→100% + 24%
		= 124%
Step 4:	Difference in % of marbles	→124% - 105%
		= 19%
Step 5:	19%	→171
	1%	→ $\frac{171}{19%}$
	Number of blue marbles at the start 100%	→ $\frac{171}{19%}$ x $\frac{100%}{1}$
		= 900

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 26% increase	→100% + 26%
		= 126%
Step 4:	Difference in % of marbles	→126% - 75%
		= 51%
Step 5:	51%	→459
	1%	→ $\frac{459}{51%}$
	Number of blue marbles at the start 100%	→ $\frac{459}{51%}$ x $\frac{100%}{1}$
		= 900

Answer: 300

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%	→147
	1%	→ $\frac{147}{49%}$
	Number of blue marbles at the start 100%	→ $\frac{147}{49%}$ x $\frac{100%}{1}$
		= 300

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 15% increase	→100% + 15%
		= 115%
Step 4:	Difference in % of marbles	→115% - 75%
		= 40%
Step 5:	40%	→120
	1%	→ $\frac{120}{40%}$
	Number of blue marbles at the start 100%	→ $\frac{120}{40%}$ x $\frac{100%}{1}$
		= 300

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 40% increase	→100% + 40%
		= 140%
Step 4:	Difference in % of marbles	→140% - 105%
		= 35%
Step 5:	35%	→140
	1%	→ $\frac{140}{35%}$
	Number of blue marbles at the start 100%	→ $\frac{140}{35%}$ x $\frac{100%}{1}$
		= 400

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 35% increase	→100% + 35%
		= 135%
Step 4:	Difference in % of marbles	→135% - 75%
		= 60%
Step 5:	60%	→300
	1%	→ $\frac{300}{60%}$
	Number of blue marbles at the start 100%	→ $\frac{300}{60%}$ x $\frac{100%}{1}$
		= 500

Answer: 2200

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 18% increase	→100% + 18%
		= 118%
Step 4:	Difference in % of marbles	→118% - 105%
		= 13%
Step 5:	13%	→286
	1%	→ $\frac{286}{13%}$
	Number of blue marbles at the start 100%	→ $\frac{286}{13%}$ x $\frac{100%}{1}$
		= 2200

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 53% increase	→100% + 53%
		= 153%
Step 4:	Difference in % of marbles	→153% - 75%
		= 78%
Step 5:	78%	→390
	1%	→ $\frac{390}{78%}$
	Number of blue marbles at the start 100%	→ $\frac{390}{78%}$ x $\frac{100%}{1}$
		= 500

Answer: 1900

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 17% increase	→100% + 17%
		= 117%
Step 4:	Difference in % of marbles	→117% - 105%
		= 12%
Step 5:	12%	→228
	1%	→ $\frac{228}{12%}$
	Number of blue marbles at the start 100%	→ $\frac{228}{12%}$ x $\frac{100%}{1}$
		= 1900

10)

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 38% increase	→100% + 38%
		= 138%
Step 4:	Difference in % of marbles	→138% - 75%
		= 63%
Step 5:	63%	→126
	1%	→ $\frac{126}{63%}$
	Number of blue marbles at the start 100%	→ $\frac{126}{63%}$ x $\frac{100%}{1}$
		= 200