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3/4 part of the tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is -
- a)36 liters
- b)42 liters
- c)40 liters
- d)38 liters
Correct answer is option 'C'. Can you explain this answer?
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3/4part of the tank is full of water. When 30 litres of water is taken...
To solve this problem, let's break it down into steps:
Step 1: Determine the initial capacity of the tank
Given that 3/4th of the tank is full of water, we can assume that the remaining 1/4th of the tank is empty. Therefore, when the tank is full, it is filled to 3/4th of its capacity. Let's denote the capacity of the tank as 'x'.
So, 3/4 * x = capacity of water in the tank
Step 2: Calculate the capacity of water in the tank
When 30 liters of water is taken out from the tank, the tank becomes empty. This means that the capacity of water in the tank is 30 liters.
So, 3/4 * x = 30
Step 3: Solve for 'x'
To find the capacity of the tank, we need to solve the equation:
3/4 * x = 30
Let's isolate 'x' by multiplying both sides of the equation by 4/3:
x = 30 * 4/3
Simplifying the expression:
x = 120/3
x = 40
Therefore, the capacity of the tank is 40 liters (option C).
Explanation:
- The initial capacity of the tank is represented by 'x'.
- When the tank is full, it is filled to 3/4th of its capacity.
- So, 3/4 * x = capacity of water in the tank.
- When 30 liters of water is taken out, the tank becomes empty.
- This means that the capacity of water in the tank is 30 liters.
- Solving the equation 3/4 * x = 30 gives us x = 40.
- Therefore, the capacity of the tank is 40 liters.
Step 1: Determine the initial capacity of the tank
Given that 3/4th of the tank is full of water, we can assume that the remaining 1/4th of the tank is empty. Therefore, when the tank is full, it is filled to 3/4th of its capacity. Let's denote the capacity of the tank as 'x'.
So, 3/4 * x = capacity of water in the tank
Step 2: Calculate the capacity of water in the tank
When 30 liters of water is taken out from the tank, the tank becomes empty. This means that the capacity of water in the tank is 30 liters.
So, 3/4 * x = 30
Step 3: Solve for 'x'
To find the capacity of the tank, we need to solve the equation:
3/4 * x = 30
Let's isolate 'x' by multiplying both sides of the equation by 4/3:
x = 30 * 4/3
Simplifying the expression:
x = 120/3
x = 40
Therefore, the capacity of the tank is 40 liters (option C).
Explanation:
- The initial capacity of the tank is represented by 'x'.
- When the tank is full, it is filled to 3/4th of its capacity.
- So, 3/4 * x = capacity of water in the tank.
- When 30 liters of water is taken out, the tank becomes empty.
- This means that the capacity of water in the tank is 30 liters.
- Solving the equation 3/4 * x = 30 gives us x = 40.
- Therefore, the capacity of the tank is 40 liters.
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3/4part of the tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is -a)36 litersb)42 litersc)40 litersd)38 litersCorrect answer is option 'C'. Can you explain this answer?
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