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4/5 part of a tank is filled with oil. After taking out 42 litres of oil the tank is 3/4 part full. What is the capacity (in litres) of the tank?
- a)420
- b)630
- c)840
- d)1680
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
4/5 part of a tank is filled with oil. After taking out 42 litres of o...
GIVEN:
Part of tank filled with oil = 4/5
Taking out quantity = 42 litres
New Part of tank filled with oil = 3/4
CALCULATION:
Let the capacity of the tank be x.
Given that,
4x/5 - 42 = 3x/4
4x/5 - 3x/4 = 42
x/20 = 42
x = 840 L
∴ Capacity of the tank is 840L
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4/5 part of a tank is filled with oil. After taking out 42 litres of o...
Let's assume the capacity of the tank is "x" litres.
Given that 4/5 part of the tank is filled with oil, we can calculate the amount of oil in the tank as (4/5) * x litres.
After taking out 42 litres of oil, the tank is 3/4 part full. This means the amount of oil remaining in the tank is (3/4) * x litres.
- Equating the two expressions:
(4/5) * x - 42 = (3/4) * x
Now, let's solve this equation to find the value of x.
- Multiplying both sides of the equation by 20 (to remove the denominators):
16x - 840 = 15x
- Subtracting 15x from both sides:
16x - 15x = 840
- Simplifying:
x = 840
Therefore, the capacity of the tank is 840 litres.
So, the correct answer is option C) 840.
Given that 4/5 part of the tank is filled with oil, we can calculate the amount of oil in the tank as (4/5) * x litres.
After taking out 42 litres of oil, the tank is 3/4 part full. This means the amount of oil remaining in the tank is (3/4) * x litres.
- Equating the two expressions:
(4/5) * x - 42 = (3/4) * x
Now, let's solve this equation to find the value of x.
- Multiplying both sides of the equation by 20 (to remove the denominators):
16x - 840 = 15x
- Subtracting 15x from both sides:
16x - 15x = 840
- Simplifying:
x = 840
Therefore, the capacity of the tank is 840 litres.
So, the correct answer is option C) 840.
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4/5 part of a tank is filled with oil. After taking out 42 litres of oil the tank is 3/4 part full. What is the capacity (in litres) of the tank?a)420b)630c)840d)1680Correct answer is option 'C'. Can you explain this answer?
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