Question

A jar is filled to 2 /5 ℎ capacity with water and 30 l is left to be filled, find the capacity of the jar.

Answer 1

Remaining capacity of jar = 3/5h

Since 30 l is left to be filled then 3/5 h.

h =50 litre

Therefore capacity of jar is 50 litres.

Answer 2

$Let \:the \: capacity \: of \: the \:Jar = h$

$Filled \: portion \: of \: the\:water \: of \: the \ \ Jar = \frac{2}{5} h$

$Remaining \: empty \:portion \\= h - \frac{2}{5}h \\= \frac{5h - 2h }{5 } \\= \frac{3h}{5}$

/* According to the problem given */

$\frac{3h}{5} = 30 \:l$

$\implies h = \frac{ 30 \times 5 }{3}$

$\implies h = 10 \times 5$

$\implies h = 50$

Therefore.,

$\red{ Capacity \:of \:the \:Jar } \green {= 50 \:l }$

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