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A group of 1200 persons comprises captain and soldiers are travelling on a train. For every 15 soldier, there is one captain. The number of captain in a group is:
- a)85
- b)80
- c)75
- d)70
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A group of 1200persons comprises captain and soldiers are travelling o...
Number of Soldiers and Captains
-----------------------------------------
In the group of 1200 persons, there are both soldiers and captains. Let's assume the number of soldiers is 'x' and the number of captains is 'y'.
Given that for every 15 soldiers, there is one captain, we can write the equation:
x/15 = y
Total Number of Persons
-----------------------------------------
The total number of persons in the group is 1200. Since the group consists of both soldiers and captains, we can write another equation:
x + y = 1200
Solving the Equations
-----------------------------------------
We can solve these two equations simultaneously to find the values of 'x' and 'y'.
From the first equation, we can rewrite it as:
x = 15y
Substituting this expression for 'x' in the second equation, we get:
15y + y = 1200
Combining like terms, we have:
16y = 1200
Dividing both sides of the equation by 16, we get:
y = 75
Therefore, the number of captains in the group is 75.
Answer
-----------------------------------------
Hence, the correct answer is option 'C' - 75.
-----------------------------------------
In the group of 1200 persons, there are both soldiers and captains. Let's assume the number of soldiers is 'x' and the number of captains is 'y'.
Given that for every 15 soldiers, there is one captain, we can write the equation:
x/15 = y
Total Number of Persons
-----------------------------------------
The total number of persons in the group is 1200. Since the group consists of both soldiers and captains, we can write another equation:
x + y = 1200
Solving the Equations
-----------------------------------------
We can solve these two equations simultaneously to find the values of 'x' and 'y'.
From the first equation, we can rewrite it as:
x = 15y
Substituting this expression for 'x' in the second equation, we get:
15y + y = 1200
Combining like terms, we have:
16y = 1200
Dividing both sides of the equation by 16, we get:
y = 75
Therefore, the number of captains in the group is 75.
Answer
-----------------------------------------
Hence, the correct answer is option 'C' - 75.
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Community Answer
A group of 1200persons comprises captain and soldiers are travelling o...
Total number of persons = 1200
As for every 15 soldier, there is one captain.
So, among every 16 person, there is one captain.
∴ No. of captains = 1200/16 = 75
As for every 15 soldier, there is one captain.
So, among every 16 person, there is one captain.
∴ No. of captains = 1200/16 = 75
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A group of 1200persons comprises captain and soldiers are travelling on a train. For every 15soldier, there is one captain. The number of captain in a group is:a)85b)80c)75d)70Correct answer is option 'C'. Can you explain this answer?
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