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 22%, there are now 289 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 284 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 15%, there are now 210 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 234 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 52%, there are now 188 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 17%, there are now 210 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 217 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 24%, there are now 441 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 490 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 17%, there are now 420 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

Answer: 1700

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 22% increase	→100% + 22%
		= 122%
Step 4:	Difference in % of marbles	→122% - 105%
		= 17%
Step 5:	17%	→289
	1%	→ $\frac{289}{17%}$
	Number of blue marbles at the start 100%	→ $\frac{289}{17%}$ x $\frac{100%}{1}$
		= 1700

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 46% increase	→100% + 46%
		= 146%
Step 4:	Difference in % of marbles	→146% - 75%
		= 71%
Step 5:	71%	→284
	1%	→ $\frac{284}{71%}$
	Number of blue marbles at the start 100%	→ $\frac{284}{71%}$ x $\frac{100%}{1}$
		= 400

Answer: 2100

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 15% increase	→100% + 15%
		= 115%
Step 4:	Difference in % of marbles	→115% - 105%
		= 10%
Step 5:	10%	→210
	1%	→ $\frac{210}{10%}$
	Number of blue marbles at the start 100%	→ $\frac{210}{10%}$ x $\frac{100%}{1}$
		= 2100

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 53% increase	→100% + 53%
		= 153%
Step 4:	Difference in % of marbles	→153% - 75%
		= 78%
Step 5:	78%	→234
	1%	→ $\frac{234}{78%}$
	Number of blue marbles at the start 100%	→ $\frac{234}{78%}$ 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 52% increase	→100% + 52%
		= 152%
Step 4:	Difference in % of marbles	→152% - 105%
		= 47%
Step 5:	47%	→188
	1%	→ $\frac{188}{47%}$
	Number of blue marbles at the start 100%	→ $\frac{188}{47%}$ 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 17% increase	→100% + 17%
		= 117%
Step 4:	Difference in % of marbles	→117% - 75%
		= 42%
Step 5:	42%	→210
	1%	→ $\frac{210}{42%}$
	Number of blue marbles at the start 100%	→ $\frac{210}{42%}$ x $\frac{100%}{1}$
		= 500

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 36% increase	→100% + 36%
		= 136%
Step 4:	Difference in % of marbles	→136% - 105%
		= 31%
Step 5:	31%	→217
	1%	→ $\frac{217}{31%}$
	Number of blue marbles at the start 100%	→ $\frac{217}{31%}$ x $\frac{100%}{1}$
		= 700

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 24% increase	→100% + 24%
		= 124%
Step 4:	Difference in % of marbles	→124% - 75%
		= 49%
Step 5:	49%	→441
	1%	→ $\frac{441}{49%}$
	Number of blue marbles at the start 100%	→ $\frac{441}{49%}$ x $\frac{100%}{1}$
		= 900

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 40% increase	→100% + 40%
		= 140%
Step 4:	Difference in % of marbles	→140% - 105%
		= 35%
Step 5:	35%	→490
	1%	→ $\frac{490}{35%}$
	Number of blue marbles at the start 100%	→ $\frac{490}{35%}$ x $\frac{100%}{1}$
		= 1400

10)

Answer: 1000

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 17% increase	→100% + 17%
		= 117%
Step 4:	Difference in % of marbles	→117% - 75%
		= 42%
Step 5:	42%	→420
	1%	→ $\frac{420}{42%}$
	Number of blue marbles at the start 100%	→ $\frac{420}{42%}$ x $\frac{100%}{1}$
		= 1000