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 91 green marbles, the ratio becomes 3:2 respectively.
Find the number of yellow marbles in the box.


Answer:_______________




2)  

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:_______________




3)  

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:_______________




4)  

A box contained some pink and yellow marbles in the ratio 1:2. After removing 75 yellow marbles, the ratio becomes 3:1 respectively.
Find the number of pink marbles in the box.


Answer:_______________




5)  

A box contained some orange and red marbles in the ratio 4:5. After removing 88 red marbles, the ratio becomes 3:1 respectively.
Find the number of orange marbles in the box.


Answer:_______________




6)  

A box contained some yellow and green marbles in the ratio 4:5. After removing 49 green marbles, the ratio becomes 3:2 respectively.
Find the number of yellow marbles in the box.


Answer:_______________




7)  

A box contained some red and blue marbles in the ratio 2:5. After removing 88 blue marbles, the ratio becomes 3:2 respectively.
Find the number of red marbles in the box.


Answer:_______________




8)  

A box contained some green and purple marbles in the ratio 3:4. After removing 55 purple marbles, the ratio becomes 2:1 respectively.
Find the number of green marbles in the box.


Answer:_______________




9)  

A box contained some pink and yellow marbles in the ratio 1:2. After removing 50 yellow marbles, the ratio becomes 3:1 respectively.
Find the number of pink marbles in the box.


Answer:_______________




10)  

A box contained some orange and red marbles in the ratio 4:5. After removing 77 red marbles, the ratio becomes 3:1 respectively.
Find the number of orange marbles in the box.


Answer:_______________




 

1)  

A box contained some yellow and green marbles in the ratio 4:5. After removing 91 green marbles, the ratio becomes 3:2 respectively.
Find the number of yellow marbles in the box.

Answer: 156


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  = 91
   1 unit  = 91 ÷ 7
     = 13
Step 3:  12 units  = 12 x 13
     = 156
     
     
     
     

 



2)  

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
     
     
     
     

 



3)  

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
     
     
     
     

 



4)  

A box contained some pink and yellow marbles in the ratio 1:2. After removing 75 yellow marbles, the ratio becomes 3:1 respectively.
Find the number of pink marbles in the box.

Answer: 45


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  = 75
   1 unit  = 75 ÷ 5
     = 15
Step 3:  3 units  = 3 x 15
     = 45
     
     
     
     

 



5)  

A box contained some orange and red marbles in the ratio 4:5. After removing 88 red marbles, the ratio becomes 3:1 respectively.
Find the number of orange marbles in the box.

Answer: 96


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  = 88
   1 unit  = 88 ÷ 11
     = 8
Step 3:  12 units  = 12 x 8
     = 96
     
     
     
     

 



6)  

A box contained some yellow and green marbles in the ratio 4:5. After removing 49 green marbles, the ratio becomes 3:2 respectively.
Find the number of yellow marbles in the box.

Answer: 84


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  = 49
   1 unit  = 49 ÷ 7
     = 7
Step 3:  12 units  = 12 x 7
     = 84
     
     
     
     

 



7)  

A box contained some red and blue marbles in the ratio 2:5. After removing 88 blue marbles, the ratio becomes 3:2 respectively.
Find the number of red marbles in the box.

Answer: 48


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  = 88
   1 unit  = 88 ÷ 11
     = 8
Step 3:  6 units  = 6 x 8
     = 48
     
     
     
     

 



8)  

A box contained some green and purple marbles in the ratio 3:4. After removing 55 purple marbles, the ratio becomes 2:1 respectively.
Find the number of green marbles in the box.

Answer: 66


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  = 55
   1 unit  = 55 ÷ 5
     = 11
Step 3:  6 units  = 6 x 11
     = 66
     
     
     
     

 



9)  

A box contained some pink and yellow marbles in the ratio 1:2. After removing 50 yellow marbles, the ratio becomes 3:1 respectively.
Find the number of pink marbles in the box.

Answer: 30


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  = 50
   1 unit  = 50 ÷ 5
     = 10
Step 3:  3 units  = 3 x 10
     = 30
     
     
     
     

 



10)  

A box contained some orange and red marbles in the ratio 4:5. After removing 77 red marbles, the ratio becomes 3:1 respectively.
Find the number of orange marbles in the box.

Answer: 84


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  = 77
   1 unit  = 77 ÷ 11
     = 7
Step 3:  12 units  = 12 x 7
     = 84