JIPMAT 2021 (QA) - (4/7) of a pole is in the mud. When (1/3) of it is pulled out, 250 cm of the pole is still in the mud. The length of the pole is | PYQs + Solutions

JIPMAT 2021

Arithmetic

Percentages

Conceptual

$(\frac{4}{7})$ of a pole is in the mud. When $(\frac{1}{3})$ of it is pulled out, 250 cm of the pole is still in the mud. The length of the pole is

1050 cm

1350 cm

437.5 cm

750 cm

Correct Option: 1

Let total length of pole be

x

Initially,

\frac{4}{7}x

is in mud.

After pulling out

\frac{1}{3}

of the pole,

250

cm remains in mud.

Therefore:

\newline

\frac{4}{7}x - \frac{1}{3}x = 250

\frac{12}{21}x - \frac{7}{21}x = 250

\frac{5}{21}x = 250

x = 250 × \frac{21}{5}

x = 1050

Therefore, the total length of the pole is 1050 cm.