Lydia, James, and Lola's partnership calls for the following allocation of income: James and Lola are to receive lump sum salary payments of $50,000 each, Lydia and Lola are to receive interest of 5% of their ending capital balances, if there's a profit James is to receive a bonus equal to 10% of the profit, and any remaining income is to be split between Lydia, James, and Lola 40%, 20%, and 40% respectively. Lydia, James, and Lola's ending capital balances were $100,000, $50,000, and $150,000 respectively. If there was a partnership net profit of $500,000, how much was allocated to Lydia in total?

a)

$167,500

b)

$140,000

c)

$192,500

d)

$5,000