Question

4. A petrol tank is already (2/3)filled. When 8 litre is added it is filled by (5/6)" of the tank. Find
the tank capacity.a)47Litres b)48 Litres c)50Litres d)52Litres​

Answer 1

Answer:

Capacity of the tank is 48 litres

option (b) is correct

Step-by-step explanation:

Let the capacity of the tank be x litres.

Quanity of petrol in the tank $=\frac{2x}{3}$

When 8 litre is added to tank , the quantity of petrol becomes $\frac{2x}{3}+8$

As per given data,

$\frac{2x}{3}+8=\frac{5x}{6}$

$\implies\:8=\frac{5x}{6}-\frac{2x}{3}$

$\implies\:8=\frac{5x-4x}{6}$

$\implies\:8=\frac{x}{6}$

$\implies\:x=48\:litres$

Therefore, capacity of the tank is 48 litres

Answer 2

Answer:

Option B is correct.

Step-by-step explanation:

Given:

Fraction of tank already filled = 2/3

when 8 liter are filled then fraction of tank filled = 5/6

To find: Total Capacity of tank.

Let x be the Total Capacity of the tank.

Amount of tank filled = 2/3 × x = 2x/3

After adding 8 liter, amount of tank = 5/6 × x = 5x/6

According to the Question,

2x/3 + 8 = 5x/6

5x/6 - 2x/3 = 8

5x/6 - 4x/6 = 8

5x - 4x = 8 × 6

x = 48

Therefore, Option B is correct.