Question:
Two full tanks, one shaped like a cylinder and the other like a cone, contain jet fuel. The cylindrical tank holds 500 litres more than the conical tank. After 200 litres of fuel has been pumped out from each tank the cylindrical tank contains twice the amount of fuel in the conical tank. How many litres of fuel did the cylindrical tank have when it was full?
Two full tanks, one shaped like a cylinder and the other like a cone, contain jet fuel. The cylindrical tank holds 500 litres more than the conical tank. After 200 litres of fuel has been pumped out from each tank the cylindrical tank contains twice the amount of fuel in the conical tank. How many litres of fuel did the cylindrical tank have when it was full?
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Let the conical tank hold \( x \) litres, so the cylinder holds \( x+500 \). Write the condition after removing 200 litres from each.
Updated On: Nov 4, 2026
- 700
- 1200
- 1100
- 1000
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Set up variables.
Let the conical tank hold \( x \) litres when full. Then the cylindrical tank holds \( x + 500 \) litres.
Step 2: Use the condition after pumping.
After removing 200 litres from each: cylinder has \( x + 300 \), cone has \( x - 200 \).
Cylinder = 2 times cone: \( x + 300 = 2(x - 200) \).
Step 3: Solve.
\( x + 300 = 2x - 400 \Rightarrow x = 700 \).
Cylindrical tank \( = 700 + 500 = 1200 \) litres.
Step 4: Check.
After pumping: cylinder \( 1000 \), cone \( 500 \); \( 1000 = 2 \times 500 \). Correct. (Option (4), 1000, is what is left in the cylinder, not its full capacity.)
Final Answer:
The correct option is (2): 1200
Let the conical tank hold \( x \) litres when full. Then the cylindrical tank holds \( x + 500 \) litres.
Step 2: Use the condition after pumping.
After removing 200 litres from each: cylinder has \( x + 300 \), cone has \( x - 200 \).
Cylinder = 2 times cone: \( x + 300 = 2(x - 200) \).
Step 3: Solve.
\( x + 300 = 2x - 400 \Rightarrow x = 700 \).
Cylindrical tank \( = 700 + 500 = 1200 \) litres.
Step 4: Check.
After pumping: cylinder \( 1000 \), cone \( 500 \); \( 1000 = 2 \times 500 \). Correct. (Option (4), 1000, is what is left in the cylinder, not its full capacity.)
Final Answer:
The correct option is (2): 1200
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