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 22%, there are now 376 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 32%, there are now 378 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 30%, there are now 110 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 34%, there are now 377 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 21%, there are now 138 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 429 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 41%, there are now 132 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 392 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 30%, there are now 330 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 42%, there are now 259 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	→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%	→376
	1%	→ $\frac{376}{47%}$
	Number of blue marbles at the start 100%	→ $\frac{376}{47%}$ x $\frac{100%}{1}$
		= 800

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 32% increase	→100% + 32%
		= 132%
Step 4:	Difference in % of marbles	→132% - 105%
		= 27%
Step 5:	27%	→378
	1%	→ $\frac{378}{27%}$
	Number of blue marbles at the start 100%	→ $\frac{378}{27%}$ x $\frac{100%}{1}$
		= 1400

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 30% increase	→100% + 30%
		= 130%
Step 4:	Difference in % of marbles	→130% - 75%
		= 55%
Step 5:	55%	→110
	1%	→ $\frac{110}{55%}$
	Number of blue marbles at the start 100%	→ $\frac{110}{55%}$ x $\frac{100%}{1}$
		= 200

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 34% increase	→100% + 34%
		= 134%
Step 4:	Difference in % of marbles	→134% - 105%
		= 29%
Step 5:	29%	→377
	1%	→ $\frac{377}{29%}$
	Number of blue marbles at the start 100%	→ $\frac{377}{29%}$ x $\frac{100%}{1}$
		= 1300

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 21% increase	→100% + 21%
		= 121%
Step 4:	Difference in % of marbles	→121% - 75%
		= 46%
Step 5:	46%	→138
	1%	→ $\frac{138}{46%}$
	Number of blue marbles at the start 100%	→ $\frac{138}{46%}$ x $\frac{100%}{1}$
		= 300

Answer: 3300

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%	→429
	1%	→ $\frac{429}{13%}$
	Number of blue marbles at the start 100%	→ $\frac{429}{13%}$ x $\frac{100%}{1}$
		= 3300

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 41% increase	→100% + 41%
		= 141%
Step 4:	Difference in % of marbles	→141% - 75%
		= 66%
Step 5:	66%	→132
	1%	→ $\frac{132}{66%}$
	Number of blue marbles at the start 100%	→ $\frac{132}{66%}$ x $\frac{100%}{1}$
		= 200

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 54% increase	→100% + 54%
		= 154%
Step 4:	Difference in % of marbles	→154% - 105%
		= 49%
Step 5:	49%	→392
	1%	→ $\frac{392}{49%}$
	Number of blue marbles at the start 100%	→ $\frac{392}{49%}$ x $\frac{100%}{1}$
		= 800

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 30% increase	→100% + 30%
		= 130%
Step 4:	Difference in % of marbles	→130% - 75%
		= 55%
Step 5:	55%	→330
	1%	→ $\frac{330}{55%}$
	Number of blue marbles at the start 100%	→ $\frac{330}{55%}$ x $\frac{100%}{1}$
		= 600

10)

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 42% increase	→100% + 42%
		= 142%
Step 4:	Difference in % of marbles	→142% - 105%
		= 37%
Step 5:	37%	→259
	1%	→ $\frac{259}{37%}$
	Number of blue marbles at the start 100%	→ $\frac{259}{37%}$ x $\frac{100%}{1}$
		= 700