Question

Sanjeev ate of a cake and gave
$\frac { 1 } { 5 }$
of remainder to his friend. He kept rest of the cake . What fraction of cake did he keep ?

$\frac { 1 } { 6 }$


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Answer 1

$\huge\bold\red{\underline{{Question:-}}}$

Sanjeev ate 1/6 of a cake . He gave 1/5 of the remainder to his friend. He kept the rest of the cake . What fraction of the cake Did he keep ?

$\huge\bold\blue{\underline{{Solution:-}}}$

• Let the total Cake be x.

• Part of Cake Sanjeev ate =

$\big( \frac{1}{6} \big) x = \frac{x}{6}$

• Part remaining =

$x - \big( \frac{1}{6} \big)x = \frac{5x}{6}$

• Part of Cake his friend ate =

$\big( \frac{1}{5} \big) \times \frac{5x}{6} = \frac{x}{6}$

• Part of Cake he keep =

$x - \big( \frac{x}{6} + \frac{x}{6} \big) \\ = x - \big( \frac{2x}{6} \big) \\ = x - \frac{x}{3} \\ = \frac{2x}{3}$

So, he keep 2/3 part of the cake.