Sasi Math (Revised for 1024)

Scroll:Heuristics >> 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 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 414 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 416 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 33%, there are now 232 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 55%, there are now 400 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 124 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 348 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 26%, there are now 357 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 31%, there are now 182 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 315 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 30%, there are now 150 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer:_______________

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 21% increase	→100% + 21%
		= 121%
Step 4:	Difference in % of marbles	→121% - 75%
		= 46%
Step 5:	46%	→414
	1%	→ $\frac{414}{46%}$
	Number of blue marbles at the start 100%	→ $\frac{414}{46%}$ x $\frac{100%}{1}$
		= 900

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

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 33% increase	→100% + 33%
		= 133%
Step 4:	Difference in % of marbles	→133% - 75%
		= 58%
Step 5:	58%	→232
	1%	→ $\frac{232}{58%}$
	Number of blue marbles at the start 100%	→ $\frac{232}{58%}$ x $\frac{100%}{1}$
		= 400

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 55% increase	→100% + 55%
		= 155%
Step 4:	Difference in % of marbles	→155% - 105%
		= 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: 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 37% increase	→100% + 37%
		= 137%
Step 4:	Difference in % of marbles	→137% - 75%
		= 62%
Step 5:	62%	→124
	1%	→ $\frac{124}{62%}$
	Number of blue marbles at the start 100%	→ $\frac{124}{62%}$ x $\frac{100%}{1}$
		= 200

Answer: 2900

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%	→348
	1%	→ $\frac{348}{12%}$
	Number of blue marbles at the start 100%	→ $\frac{348}{12%}$ x $\frac{100%}{1}$
		= 2900

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 26% increase	→100% + 26%
		= 126%
Step 4:	Difference in % of marbles	→126% - 75%
		= 51%
Step 5:	51%	→357
	1%	→ $\frac{357}{51%}$
	Number of blue marbles at the start 100%	→ $\frac{357}{51%}$ x $\frac{100%}{1}$
		= 700

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 31% increase	→100% + 31%
		= 131%
Step 4:	Difference in % of marbles	→131% - 105%
		= 26%
Step 5:	26%	→182
	1%	→ $\frac{182}{26%}$
	Number of blue marbles at the start 100%	→ $\frac{182}{26%}$ x $\frac{100%}{1}$
		= 700

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 38% increase	→100% + 38%
		= 138%
Step 4:	Difference in % of marbles	→138% - 75%
		= 63%
Step 5:	63%	→315
	1%	→ $\frac{315}{63%}$
	Number of blue marbles at the start 100%	→ $\frac{315}{63%}$ x $\frac{100%}{1}$
		= 500

10)

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 30% increase	→100% + 30%
		= 130%
Step 4:	Difference in % of marbles	→130% - 105%
		= 25%
Step 5:	25%	→150
	1%	→ $\frac{150}{25%}$
	Number of blue marbles at the start 100%	→ $\frac{150}{25%}$ x $\frac{100%}{1}$
		= 600