A car petrol tank is $\frac{3}{8}$ full. After that, the petrol tank is filled with $30$ litres of petrol and the tank is full. What is the capacity of the tank?

30 l i t r e s

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36 l i t r e s

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42 l i t r e s

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48 l i t r e s

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Solution

The correct option is D $48 l i t r e s$
Fraction of tank which is empty
$= 1 - \frac{3}{8} = \frac{5}{8}$
According to question,
$\frac{5}{8} \times$ capacity of tank $= 30 l i t r e s$
Capacity of tank $= 30 \times \frac{8}{5} l i t r e s = 48 l i t r e s$ .

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A car petrol tank is 38 full. After that, the petrol tank is filled with 30 litres of petrol and the tank is full. What is the capacity of the tank?

The correct option is D 48 litresFraction of tank which is empty=1−38=58According to question,58× capacity of tank =30 litresCapacity of tank =30×85litres=48 litres.

A car petrol tank is $\frac{3}{8}$ full. After that, the petrol tank is filled with $30$ litres of petrol and the tank is full. What is the capacity of the tank?

The correct option is D $48 l i t r e s$
Fraction of tank which is empty
$= 1 - \frac{3}{8} = \frac{5}{8}$
According to question,
$\frac{5}{8} \times$ capacity of tank $= 30 l i t r e s$
Capacity of tank $= 30 \times \frac{8}{5} l i t r e s = 48 l i t r e s$ .