Scroll:Ratio >> External Transfer >> ps (2507)

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)  

A box contained some yellow and green marbles in the ratio 4:5. After removing 28 green marbles, the ratio becomes 3:2 respectively.
Find the number of yellow marbles in the box.


Answer:_______________




2)  

A box contained some green and purple marbles in the ratio 3:4. After removing 25 purple marbles, the ratio becomes 2:1 respectively.
Find the number of green marbles in the box.


Answer:_______________




3)  

A box contained some pink and yellow marbles in the ratio 1:2. After removing 60 yellow marbles, the ratio becomes 3:1 respectively.
Find the number of pink marbles in the box.


Answer:_______________




4)  

A box contained some orange and red marbles in the ratio 4:5. After removing 44 red marbles, the ratio becomes 3:1 respectively.
Find the number of orange marbles in the box.


Answer:_______________




5)  

A box contained some red and blue marbles in the ratio 2:5. After removing 77 blue marbles, the ratio becomes 3:2 respectively.
Find the number of red marbles in the box.


Answer:_______________




6)  

A box contained some yellow and green marbles in the ratio 4:5. After removing 56 green marbles, the ratio becomes 3:2 respectively.
Find the number of yellow marbles in the box.


Answer:_______________




7)  

A box contained some green and purple marbles in the ratio 3:4. After removing 45 purple marbles, the ratio becomes 2:1 respectively.
Find the number of green marbles in the box.


Answer:_______________




8)  

A box contained some pink and yellow marbles in the ratio 1:2. After removing 85 yellow marbles, the ratio becomes 3:1 respectively.
Find the number of pink marbles in the box.


Answer:_______________




9)  

A box contained some orange and red marbles in the ratio 4:5. After removing 22 red marbles, the ratio becomes 3:1 respectively.
Find the number of orange marbles in the box.


Answer:_______________




10)  

A box contained some red and blue marbles in the ratio 2:5. After removing 33 blue marbles, the ratio becomes 3:2 respectively.
Find the number of red marbles in the box.


Answer:_______________




 

1)  

A box contained some yellow and green marbles in the ratio 4:5. After removing 28 green marbles, the ratio becomes 3:2 respectively.
Find the number of yellow marbles in the box.

Answer: 48


SOLUTION 1 :
Before
Y : G
4 : 5
12 : 15
 
After
Y : G
3 : 2
12 : 8

 

Step 1:  15 units - 8 units  = 7 units
Step 2:  7 units  = 28
   1 unit  = 28 ÷ 7
     = 4
Step 3:  12 units  = 12 x 4
     = 48
     
     
     
     

 



2)  

A box contained some green and purple marbles in the ratio 3:4. After removing 25 purple marbles, the ratio becomes 2:1 respectively.
Find the number of green marbles in the box.

Answer: 30


SOLUTION 1 :
Before
G : P
3 : 4
6 : 8
 
After
G : P
2 : 1
6 : 3

 

Step 1:  8 units - 3 units  = 5 units
Step 2:  5 units  = 25
   1 unit  = 25 ÷ 5
     = 5
Step 3:  6 units  = 6 x 5
     = 30
     
     
     
     

 



3)  

A box contained some pink and yellow marbles in the ratio 1:2. After removing 60 yellow marbles, the ratio becomes 3:1 respectively.
Find the number of pink marbles in the box.

Answer: 36


SOLUTION 1 :
Before
P : Y
1 : 2
3 : 6
 
After
P : Y
3 : 1
     

 

Step 1:  6 units - 1 units  = 5 units
Step 2:  5 units  = 60
   1 unit  = 60 ÷ 5
     = 12
Step 3:  3 units  = 3 x 12
     = 36
     
     
     
     

 



4)  

A box contained some orange and red marbles in the ratio 4:5. After removing 44 red marbles, the ratio becomes 3:1 respectively.
Find the number of orange marbles in the box.

Answer: 48


SOLUTION 1 :
Before
O : R
4 : 5
12 : 15
 
After
O : R
3 : 1
12 : 4

 

Step 1:  15 units - 4 units  = 11 units
Step 2:  11 units  = 44
   1 unit  = 44 ÷ 11
     = 4
Step 3:  12 units  = 12 x 4
     = 48
     
     
     
     

 



5)  

A box contained some red and blue marbles in the ratio 2:5. After removing 77 blue marbles, the ratio becomes 3:2 respectively.
Find the number of red marbles in the box.

Answer: 42


SOLUTION 1 :
Before
R : B
2 : 5
6 : 15
 
After
R : B
3 : 2
6 : 4

 

Step 1:  15 units - 4 units  = 11 units
Step 2:  11 units  = 77
   1 unit  = 77 ÷ 11
     = 7
Step 3:  6 units  = 6 x 7
     = 42
     
     
     
     

 



6)  

A box contained some yellow and green marbles in the ratio 4:5. After removing 56 green marbles, the ratio becomes 3:2 respectively.
Find the number of yellow marbles in the box.

Answer: 96


SOLUTION 1 :
Before
Y : G
4 : 5
12 : 15
 
After
Y : G
3 : 2
12 : 8

 

Step 1:  15 units - 8 units  = 7 units
Step 2:  7 units  = 56
   1 unit  = 56 ÷ 7
     = 8
Step 3:  12 units  = 12 x 8
     = 96
     
     
     
     

 



7)  

A box contained some green and purple marbles in the ratio 3:4. After removing 45 purple marbles, the ratio becomes 2:1 respectively.
Find the number of green marbles in the box.

Answer: 54


SOLUTION 1 :
Before
G : P
3 : 4
6 : 8
 
After
G : P
2 : 1
6 : 3

 

Step 1:  8 units - 3 units  = 5 units
Step 2:  5 units  = 45
   1 unit  = 45 ÷ 5
     = 9
Step 3:  6 units  = 6 x 9
     = 54
     
     
     
     

 



8)  

A box contained some pink and yellow marbles in the ratio 1:2. After removing 85 yellow marbles, the ratio becomes 3:1 respectively.
Find the number of pink marbles in the box.

Answer: 51


SOLUTION 1 :
Before
P : Y
1 : 2
3 : 6
 
After
P : Y
3 : 1
     

 

Step 1:  6 units - 1 units  = 5 units
Step 2:  5 units  = 85
   1 unit  = 85 ÷ 5
     = 17
Step 3:  3 units  = 3 x 17
     = 51
     
     
     
     

 



9)  

A box contained some orange and red marbles in the ratio 4:5. After removing 22 red marbles, the ratio becomes 3:1 respectively.
Find the number of orange marbles in the box.

Answer: 24


SOLUTION 1 :
Before
O : R
4 : 5
12 : 15
 
After
O : R
3 : 1
12 : 4

 

Step 1:  15 units - 4 units  = 11 units
Step 2:  11 units  = 22
   1 unit  = 22 ÷ 11
     = 2
Step 3:  12 units  = 12 x 2
     = 24
     
     
     
     

 



10)  

A box contained some red and blue marbles in the ratio 2:5. After removing 33 blue marbles, the ratio becomes 3:2 respectively.
Find the number of red marbles in the box.

Answer: 18


SOLUTION 1 :
Before
R : B
2 : 5
6 : 15
 
After
R : B
3 : 2
6 : 4

 

Step 1:  15 units - 4 units  = 11 units
Step 2:  11 units  = 33
   1 unit  = 33 ÷ 11
     = 3
Step 3:  6 units  = 6 x 3
     = 18