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 36%, there are now 124 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 28%, there are now 318 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 46%, there are now 410 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 360 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 245 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 55%, there are now 240 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 20%, there are now 195 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 37%, there are now 192 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 21%, there are now 322 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

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 36% increase	→100% + 36%
		= 136%
Step 4:	Difference in % of marbles	→136% - 105%
		= 31%
Step 5:	31%	→124
	1%	→ $\frac{124}{31%}$
	Number of blue marbles at the start 100%	→ $\frac{124}{31%}$ x $\frac{100%}{1}$
		= 400

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 28% increase	→100% + 28%
		= 128%
Step 4:	Difference in % of marbles	→128% - 75%
		= 53%
Step 5:	53%	→318
	1%	→ $\frac{318}{53%}$
	Number of blue marbles at the start 100%	→ $\frac{318}{53%}$ x $\frac{100%}{1}$
		= 600

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 46% increase	→100% + 46%
		= 146%
Step 4:	Difference in % of marbles	→146% - 105%
		= 41%
Step 5:	41%	→410
	1%	→ $\frac{410}{41%}$
	Number of blue marbles at the start 100%	→ $\frac{410}{41%}$ x $\frac{100%}{1}$
		= 1000

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 15% increase	→100% + 15%
		= 115%
Step 4:	Difference in % of marbles	→115% - 75%
		= 40%
Step 5:	40%	→360
	1%	→ $\frac{360}{40%}$
	Number of blue marbles at the start 100%	→ $\frac{360}{40%}$ x $\frac{100%}{1}$
		= 900

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 40% increase	→100% + 40%
		= 140%
Step 4:	Difference in % of marbles	→140% - 105%
		= 35%
Step 5:	35%	→245
	1%	→ $\frac{245}{35%}$
	Number of blue marbles at the start 100%	→ $\frac{245}{35%}$ x $\frac{100%}{1}$
		= 700

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 55% increase	→100% + 55%
		= 155%
Step 4:	Difference in % of marbles	→155% - 75%
		= 80%
Step 5:	80%	→240
	1%	→ $\frac{240}{80%}$
	Number of blue marbles at the start 100%	→ $\frac{240}{80%}$ x $\frac{100%}{1}$
		= 300

Answer: 1300

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 20% increase	→100% + 20%
		= 120%
Step 4:	Difference in % of marbles	→120% - 105%
		= 15%
Step 5:	15%	→195
	1%	→ $\frac{195}{15%}$
	Number of blue marbles at the start 100%	→ $\frac{195}{15%}$ x $\frac{100%}{1}$
		= 1300

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: 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

10)

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 21% increase	→100% + 21%
		= 121%
Step 4:	Difference in % of marbles	→121% - 75%
		= 46%
Step 5:	46%	→322
	1%	→ $\frac{322}{46%}$
	Number of blue marbles at the start 100%	→ $\frac{322}{46%}$ x $\frac{100%}{1}$
		= 700