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3/4th 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 litres
b)42 litres c)40 litres d)38 litres?
litres of water is taken out,the tank becomes
empty,The capacity of the tank is: a) 36 litres
b)42 litres c)40 litres d)38 litres?
Most Upvoted Answer
3/4th part of the tank is full of water.When 30 litres of water is tak...
Problem Analysis
To determine the capacity of the tank, we start by analyzing the information given:
- The tank is 3/4 full of water.
- Removing 30 litres makes the tank empty.
Let’s Define the Capacity
- Let the total capacity of the tank be denoted as \( x \) litres.
Water in the Tank Initially
- Since the tank is 3/4 full, the amount of water in the tank initially can be expressed as:
- \( \frac{3}{4}x \)
Water After Removal
- When 30 litres are taken out, the remaining water in the tank is:
- \( \frac{3}{4}x - 30 \)
Setting Up the Equation
- According to the problem, after removing 30 litres, the tank becomes empty. Therefore, we can set up the equation:
- \( \frac{3}{4}x - 30 = 0 \)
Solving the Equation
- Rearranging the equation gives us:
- \( \frac{3}{4}x = 30 \)
- To find \( x \), multiply both sides by \( \frac{4}{3} \):
- \( x = 30 \times \frac{4}{3} \)
- \( x = 40 \) litres
Conclusion
- The total capacity of the tank is:
- **40 litres**
Final Answer
- Therefore, the correct option is: **c) 40 litres**.
To determine the capacity of the tank, we start by analyzing the information given:
- The tank is 3/4 full of water.
- Removing 30 litres makes the tank empty.
Let’s Define the Capacity
- Let the total capacity of the tank be denoted as \( x \) litres.
Water in the Tank Initially
- Since the tank is 3/4 full, the amount of water in the tank initially can be expressed as:
- \( \frac{3}{4}x \)
Water After Removal
- When 30 litres are taken out, the remaining water in the tank is:
- \( \frac{3}{4}x - 30 \)
Setting Up the Equation
- According to the problem, after removing 30 litres, the tank becomes empty. Therefore, we can set up the equation:
- \( \frac{3}{4}x - 30 = 0 \)
Solving the Equation
- Rearranging the equation gives us:
- \( \frac{3}{4}x = 30 \)
- To find \( x \), multiply both sides by \( \frac{4}{3} \):
- \( x = 30 \times \frac{4}{3} \)
- \( x = 40 \) litres
Conclusion
- The total capacity of the tank is:
- **40 litres**
Final Answer
- Therefore, the correct option is: **c) 40 litres**.
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3/4th 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 litres b)42 litres c)40 litres d)38 litres?
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3/4th 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 litres b)42 litres c)40 litres d)38 litres? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3/4th 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 litres b)42 litres c)40 litres d)38 litres? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3/4th 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 litres b)42 litres c)40 litres d)38 litres?.
3/4th 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 litres b)42 litres c)40 litres d)38 litres? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3/4th 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 litres b)42 litres c)40 litres d)38 litres? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3/4th 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 litres b)42 litres c)40 litres d)38 litres?.
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