Sasi Math (Revised for 1024)

Scroll:Percentage >> External Transfer >> 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 30%, there are now 200 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 29%, there are now 216 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 46%, there are now 355 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 36%, there are now 248 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 400 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 36%, there are now 155 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 354 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 28%, there are now 276 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 44%, there are now 207 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	→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 30% increase	→100% + 30%
		= 130%
Step 4:	Difference in % of marbles	→130% - 105%
		= 25%
Step 5:	25%	→200
	1%	→ $\frac{200}{25%}$
	Number of blue marbles at the start 100%	→ $\frac{200}{25%}$ x $\frac{100%}{1}$
		= 800

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: 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 29% increase	→100% + 29%
		= 129%
Step 4:	Difference in % of marbles	→129% - 105%
		= 24%
Step 5:	24%	→216
	1%	→ $\frac{216}{24%}$
	Number of blue marbles at the start 100%	→ $\frac{216}{24%}$ x $\frac{100%}{1}$
		= 900

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 46% increase	→100% + 46%
		= 146%
Step 4:	Difference in % of marbles	→146% - 75%
		= 71%
Step 5:	71%	→355
	1%	→ $\frac{355}{71%}$
	Number of blue marbles at the start 100%	→ $\frac{355}{71%}$ x $\frac{100%}{1}$
		= 500

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 36% increase	→100% + 36%
		= 136%
Step 4:	Difference in % of marbles	→136% - 105%
		= 31%
Step 5:	31%	→248
	1%	→ $\frac{248}{31%}$
	Number of blue marbles at the start 100%	→ $\frac{248}{31%}$ x $\frac{100%}{1}$
		= 800

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 25% increase	→100% + 25%
		= 125%
Step 4:	Difference in % of marbles	→125% - 75%
		= 50%
Step 5:	50%	→400
	1%	→ $\frac{400}{50%}$
	Number of blue marbles at the start 100%	→ $\frac{400}{50%}$ x $\frac{100%}{1}$
		= 800

Answer: 500

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%	→155
	1%	→ $\frac{155}{31%}$
	Number of blue marbles at the start 100%	→ $\frac{155}{31%}$ x $\frac{100%}{1}$
		= 500

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 34% increase	→100% + 34%
		= 134%
Step 4:	Difference in % of marbles	→134% - 75%
		= 59%
Step 5:	59%	→354
	1%	→ $\frac{354}{59%}$
	Number of blue marbles at the start 100%	→ $\frac{354}{59%}$ x $\frac{100%}{1}$
		= 600

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 28% increase	→100% + 28%
		= 128%
Step 4:	Difference in % of marbles	→128% - 105%
		= 23%
Step 5:	23%	→276
	1%	→ $\frac{276}{23%}$
	Number of blue marbles at the start 100%	→ $\frac{276}{23%}$ x $\frac{100%}{1}$
		= 1200

10)

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 44% increase	→100% + 44%
		= 144%
Step 4:	Difference in % of marbles	→144% - 75%
		= 69%
Step 5:	69%	→207
	1%	→ $\frac{207}{69%}$
	Number of blue marbles at the start 100%	→ $\frac{207}{69%}$ x $\frac{100%}{1}$
		= 300