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 37%, there are now 248 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 128 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 52%, there are now 308 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 406 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 37%, there are now 186 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 53%, there are now 336 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 19%, 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 24%, there are now 361 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 38%, there are now 189 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 37%, there are now 416 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	→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 37% increase	→100% + 37%
		= 137%
Step 4:	Difference in % of marbles	→137% - 75%
		= 62%
Step 5:	62%	→248
	1%	→ $\frac{248}{62%}$
	Number of blue marbles at the start 100%	→ $\frac{248}{62%}$ x $\frac{100%}{1}$
		= 400

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 37% increase	→100% + 37%
		= 137%
Step 4:	Difference in % of marbles	→137% - 105%
		= 32%
Step 5:	32%	→128
	1%	→ $\frac{128}{32%}$
	Number of blue marbles at the start 100%	→ $\frac{128}{32%}$ x $\frac{100%}{1}$
		= 400

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 52% increase	→100% + 52%
		= 152%
Step 4:	Difference in % of marbles	→152% - 75%
		= 77%
Step 5:	77%	→308
	1%	→ $\frac{308}{77%}$
	Number of blue marbles at the start 100%	→ $\frac{308}{77%}$ x $\frac{100%}{1}$
		= 400

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 34% increase	→100% + 34%
		= 134%
Step 4:	Difference in % of marbles	→134% - 105%
		= 29%
Step 5:	29%	→406
	1%	→ $\frac{406}{29%}$
	Number of blue marbles at the start 100%	→ $\frac{406}{29%}$ x $\frac{100%}{1}$
		= 1400

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 37% increase	→100% + 37%
		= 137%
Step 4:	Difference in % of marbles	→137% - 75%
		= 62%
Step 5:	62%	→186
	1%	→ $\frac{186}{62%}$
	Number of blue marbles at the start 100%	→ $\frac{186}{62%}$ x $\frac{100%}{1}$
		= 300

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 53% increase	→100% + 53%
		= 153%
Step 4:	Difference in % of marbles	→153% - 105%
		= 48%
Step 5:	48%	→336
	1%	→ $\frac{336}{48%}$
	Number of blue marbles at the start 100%	→ $\frac{336}{48%}$ 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 19% increase	→100% + 19%
		= 119%
Step 4:	Difference in % of marbles	→119% - 75%
		= 44%
Step 5:	44%	→132
	1%	→ $\frac{132}{44%}$
	Number of blue marbles at the start 100%	→ $\frac{132}{44%}$ x $\frac{100%}{1}$
		= 300

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 24% increase	→100% + 24%
		= 124%
Step 4:	Difference in % of marbles	→124% - 105%
		= 19%
Step 5:	19%	→361
	1%	→ $\frac{361}{19%}$
	Number of blue marbles at the start 100%	→ $\frac{361}{19%}$ x $\frac{100%}{1}$
		= 1900

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 38% increase	→100% + 38%
		= 138%
Step 4:	Difference in % of marbles	→138% - 75%
		= 63%
Step 5:	63%	→189
	1%	→ $\frac{189}{63%}$
	Number of blue marbles at the start 100%	→ $\frac{189}{63%}$ x $\frac{100%}{1}$
		= 300

10)

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 37% increase	→100% + 37%
		= 137%
Step 4:	Difference in % of marbles	→137% - 105%
		= 32%
Step 5:	32%	→416
	1%	→ $\frac{416}{32%}$
	Number of blue marbles at the start 100%	→ $\frac{416}{32%}$ x $\frac{100%}{1}$
		= 1300