If 1/5th tank is full and if 22 litres fuel poured in it, then 3/4th tank is full. Find the capacity of tank?a)40 litresb)35 litresc)50 litresd)45 litresCorrect answer is option 'A'. Can you explain this answer?

Question

Answer

Let capacity of tank = x
According to question,

∴ Capacity of tank is 40 liters

Answer

Solution:

To solve this problem, we can use the concept of ratios and proportions.

Let's assume the capacity of the tank is 'x' litres.

Given, 1/5th tank is full, which means the tank is 1/5th of its capacity.

So, the fuel present in the tank before pouring is (1/5)x litres.

Now, when 22 litres of fuel is poured, the tank becomes 3/4th full.

So, the fuel present in the tank after pouring becomes (3/4)x litres.

We can set up a proportion to solve for 'x':

(1/5)x + 22 = (3/4)x

Multiplying both sides by 20 (LCM of 5 and 4):

4x + 440 = 15x

11x = 440

x = 40 litres

Therefore, the capacity of the tank is 40 litres.

Answer: Option A (40 litres)

Answer

Answer ( A ) 40 litres

Answer

Let the capacity of tank= x litre

at initial=x/5

then,

x/5+22=3x/4

x+110/5=3x/4

4x+440=15x

11x=440

x=40

the capacity of the tank is 40 litre.

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