Question

A container of water was 3/5th full; when 38 liters of water drawn it, it is just 1/8th full. What is the total capacity of the container in liters ?a)165 litres
(c) 75 liters
(d) 80 liters​

Answer 1

Answer :

• The total capacity of container is 80 litres.

Given :

• A container of water was 3/5th full

• When 38 liters of water drawn it, it is just 1/8th full.

To find :

• The total capacity of the container in liters =?

Step-by-step explanation :

So,

• Fraction of water in the container = 3/5 [given]

Find the fraction of the water that had been drawn:

= 3/5 - 1/8

= 24 - 5/40

= 19/40

Find capacity of the container

= 19/40 = 38 litres

= 38 x 40 /19

= 2 x 40

= 80 litres

Thus, The total capacity of container is 80 litres.

Hence, option (d). 80 litres is the correct ✔️

Answer 2

$\large \bigstar\boxed{\bf \red{ GIVEN}} \bigstar \\ \\ \Longrightarrow \bf Water \: filled \: in \: container = \frac{3}{5} th \\ \\ \Longrightarrow \bf Water \: after \: drawn \: 38l \: of \: water = \frac{1}{8} th$

$\large \bigstar\boxed{\bf \red{ TO \: FIND}} \bigstar \\ \\ \Longrightarrow \bf Total \: capacity \: of \: containker$

$\large \bigstar\boxed{\bf \red{ SOLUTION}} \bigstar \\ \\ \Longrightarrow \bf \frac{3}{5} - \frac{1}{8} = 38 \\ \\ \Longrightarrow \bf \frac{24 - 5}{40} = 38 \\ \\\Longrightarrow \bf \frac{19}{ 40} = 38 \\ \\ \Longrightarrow \bf40 = \frac{19}{38} \\ \\\Longrightarrow \bf 40 = \frac{1}{2} \\ \\\Longrightarrow \bf 40 \times 2 = 80 \: l$

$\large \boxed{ \bf \orange { Total \: capacity \: of \: containker= 80 \: l}}$