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.



 

1)  

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 46%, there are now 123 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.


Answer:_______________




2)  

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 246 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.


Answer:_______________




3)  

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 49%, there are now 396 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.


Answer:_______________




4)  

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 410 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.


Answer:_______________




5)  

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 250 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.


Answer:_______________




6)  

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 294 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.


Answer:_______________




7)  

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 27%, there are now 132 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.


Answer:_______________




8)  

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 276 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.


Answer:_______________




9)  

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 32%, there are now 405 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 18%, there are now 129 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.


Answer:_______________




 

1)  

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 46%, there are now 123 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer: 300


SOLUTION 1 :
Step 1: Blue marbles →100% (at first)
  Red marbles →150% (at first)
Step 2: % of red marbles removed 30100 x 150%  
    = 45%  
  % of red marbles left →150% - 45%  
    = 105%  
 Step 3: % of blue marbles after the 46% increase →100% + 46%  
    = 146%  
 Step 4: Difference in % of marbles →146% - 105%  
    = 41%  
Step 5:                                      41% →123  
                                         1% 12341%  
  Number of blue marbles at the start         100% 12341% x 100%1  
    = 300  


2)  

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 246 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer: 600


SOLUTION 1 :
Step 1: Blue marbles →100% (at first)
  Red marbles →125% (at first)
Step 2: % of red marbles removed 40100 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% →246  
                                         1% 24641%  
  Number of blue marbles at the start         100% 24641% x 100%1  
    = 600  

 



3)  

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 49%, there are now 396 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer: 900


SOLUTION 1 :
Step 1: Blue marbles →100% (at first)
  Red marbles →150% (at first)
Step 2: % of red marbles removed 30100 x 150%  
    = 45%  
  % of red marbles left →150% - 45%  
    = 105%  
 Step 3: % of blue marbles after the 49% increase →100% + 49%  
    = 149%  
 Step 4: Difference in % of marbles →149% - 105%  
    = 44%  
Step 5:                                      44% →396  
                                         1% 39644%  
  Number of blue marbles at the start         100% 39644% x 100%1  
    = 900  


4)  

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 410 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer: 1000


SOLUTION 1 :
Step 1: Blue marbles →100% (at first)
  Red marbles →125% (at first)
Step 2: % of red marbles removed 40100 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% →410  
                                         1% 41041%  
  Number of blue marbles at the start         100% 41041% x 100%1  
    = 1000  

 



5)  

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 250 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer: 1000


SOLUTION 1 :
Step 1: Blue marbles →100% (at first)
  Red marbles →150% (at first)
Step 2: % of red marbles removed 30100 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% →250  
                                         1% 25025%  
  Number of blue marbles at the start         100% 25025% x 100%1  
    = 1000  


6)  

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 294 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer: 600


SOLUTION 1 :
Step 1: Blue marbles →100% (at first)
  Red marbles →125% (at first)
Step 2: % of red marbles removed 40100 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% →294  
                                         1% 29449%  
  Number of blue marbles at the start         100% 29449% x 100%1  
    = 600  

 



7)  

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 27%, there are now 132 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer: 600


SOLUTION 1 :
Step 1: Blue marbles →100% (at first)
  Red marbles →150% (at first)
Step 2: % of red marbles removed 30100 x 150%  
    = 45%  
  % of red marbles left →150% - 45%  
    = 105%  
 Step 3: % of blue marbles after the 27% increase →100% + 27%  
    = 127%  
 Step 4: Difference in % of marbles →127% - 105%  
    = 22%  
Step 5:                                      22% →132  
                                         1% 13222%  
  Number of blue marbles at the start         100% 13222% x 100%1  
    = 600  


8)  

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 276 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer: 600


SOLUTION 1 :
Step 1: Blue marbles →100% (at first)
  Red marbles →125% (at first)
Step 2: % of red marbles removed 40100 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% →276  
                                         1% 27646%  
  Number of blue marbles at the start         100% 27646% x 100%1  
    = 600  

 



9)  

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 32%, there are now 405 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer: 1500


SOLUTION 1 :
Step 1: Blue marbles →100% (at first)
  Red marbles →150% (at first)
Step 2: % of red marbles removed 30100 x 150%  
    = 45%  
  % of red marbles left →150% - 45%  
    = 105%  
 Step 3: % of blue marbles after the 32% increase →100% + 32%  
    = 132%  
 Step 4: Difference in % of marbles →132% - 105%  
    = 27%  
Step 5:                                      27% →405  
                                         1% 40527%  
  Number of blue marbles at the start         100% 40527% x 100%1  
    = 1500  


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 18%, there are now 129 fewer red marbles than blue marbles. Find the number of blue marbles I had at first.

Answer: 300


SOLUTION 1 :
Step 1: Blue marbles →100% (at first)
  Red marbles →125% (at first)
Step 2: % of red marbles removed 40100 x 125%  
    = 50%  
  % of red marbles left →125% - 50%  
    = 75%  
 Step 3: % of blue marbles after the 18% increase →100% + 18%  
    = 118%  
 Step 4: Difference in % of marbles →118% - 75%  
    = 43%  
Step 5:                                      43% →129  
                                         1% 12943%  
  Number of blue marbles at the start         100% 12943% x 100%1  
    = 300