Question 132926
5,340 share is 2/15 of the original number of shares
{{{x}}}= original number of shares
{{{5340 = (2/15)*x}}}
{{{x = (15/2)*5340}}}
{{{x = 40050}}}
{{{s}}} = Mr. K's share
{{{1/5 + 1/3 + 2/15 + s = 1}}}
{{{3/15 + 5/15 + 2/15 + s = 15/15}}}
multiply both sides by {{{15}}}
{{{3 + 5 + 2 + 15s = 15}}}
{{{15s = 5}}}
{{{s = 1/3}}} His share
He sold {{{40050 - (1/3)*40050 = (2/3)*40050}}}
{{{(2/3)*40050 = 26700}}}
He sold 26,700 shares