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 28%, there are now 391 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 45%, there are now 490 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 42%, there are now 296 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 147 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 17%, there are now 288 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 54%, there are now 316 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 16%, there are now 484 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 44%, there are now 207 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 43%, there are now 228 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 16%, there are now 287 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 28% increase	→100% + 28%
		= 128%
Step 4:	Difference in % of marbles	→128% - 105%
		= 23%
Step 5:	23%	→391
	1%	→ $\frac{391}{23%}$
	Number of blue marbles at the start 100%	→ $\frac{391}{23%}$ x $\frac{100%}{1}$
		= 1700

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 45% increase	→100% + 45%
		= 145%
Step 4:	Difference in % of marbles	→145% - 75%
		= 70%
Step 5:	70%	→490
	1%	→ $\frac{490}{70%}$
	Number of blue marbles at the start 100%	→ $\frac{490}{70%}$ x $\frac{100%}{1}$
		= 700

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 42% increase	→100% + 42%
		= 142%
Step 4:	Difference in % of marbles	→142% - 105%
		= 37%
Step 5:	37%	→296
	1%	→ $\frac{296}{37%}$
	Number of blue marbles at the start 100%	→ $\frac{296}{37%}$ x $\frac{100%}{1}$
		= 800

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 24% increase	→100% + 24%
		= 124%
Step 4:	Difference in % of marbles	→124% - 75%
		= 49%
Step 5:	49%	→147
	1%	→ $\frac{147}{49%}$
	Number of blue marbles at the start 100%	→ $\frac{147}{49%}$ x $\frac{100%}{1}$
		= 300

Answer: 2400

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 17% increase	→100% + 17%
		= 117%
Step 4:	Difference in % of marbles	→117% - 105%
		= 12%
Step 5:	12%	→288
	1%	→ $\frac{288}{12%}$
	Number of blue marbles at the start 100%	→ $\frac{288}{12%}$ x $\frac{100%}{1}$
		= 2400

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 54% increase	→100% + 54%
		= 154%
Step 4:	Difference in % of marbles	→154% - 75%
		= 79%
Step 5:	79%	→316
	1%	→ $\frac{316}{79%}$
	Number of blue marbles at the start 100%	→ $\frac{316}{79%}$ x $\frac{100%}{1}$
		= 400

Answer: 4400

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 16% increase	→100% + 16%
		= 116%
Step 4:	Difference in % of marbles	→116% - 105%
		= 11%
Step 5:	11%	→484
	1%	→ $\frac{484}{11%}$
	Number of blue marbles at the start 100%	→ $\frac{484}{11%}$ x $\frac{100%}{1}$
		= 4400

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

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 43% increase	→100% + 43%
		= 143%
Step 4:	Difference in % of marbles	→143% - 105%
		= 38%
Step 5:	38%	→228
	1%	→ $\frac{228}{38%}$
	Number of blue marbles at the start 100%	→ $\frac{228}{38%}$ 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 16% increase	→100% + 16%
		= 116%
Step 4:	Difference in % of marbles	→116% - 75%
		= 41%
Step 5:	41%	→287
	1%	→ $\frac{287}{41%}$
	Number of blue marbles at the start 100%	→ $\frac{287}{41%}$ x $\frac{100%}{1}$
		= 700