$14.$ On January $1,2023,$ French Company acquired $60$ percent of K$-$Tech Company for $\backslash (\backslash$$ $300,000\backslash )$ when K$-$Tech's book value was $\backslash (\backslash$$ $400,000\backslash ).$ The fair value of the newly comprised $40$ percent noncontrolling interest was assessed at $\backslash (\backslash$$ $200,000\backslash ).$ At the acquisition date, K$-$Tech's trademark $(10-$year remaining life$)$ was undervalued in its financial records by $\backslash (\backslash$$ $60,000\backslash ).$ Also, patented technology $(5-$year remaining life$)$ was undervalued by $\backslash (\backslash$$ $40,000\backslash ).$

In $2023,$ K$-$Tech reports $\backslash (\backslash$$ $30,000\backslash )$ net income and declares no dividends. At the end of $2024,$ the two companies report the following figures $($stockholders $\backslash (\{\}^\{2\}\backslash )$ equity accounts have been omitted$)$:

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|\}$

$\backslash$hline & $\backslash$begin$\{$tabular$\}\{$l$\}$

French $\backslash \backslash$

Company $\backslash \backslash$

Carrying Amounts

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$l$\}$

K$-$Tech $\backslash \backslash$

Company $\backslash \backslash$

Carrying Amounts

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$l$\}$

K$-$Tech $\backslash \backslash$

Company $\backslash \backslash$

Fair Values

$\backslash$end$\{$tabular$\}\backslash \backslash$

$\backslash$hline Current assets & $\backslash$$ $620,000$ & $\backslash$$ $300,000$ & $\backslash$$ $320,000\backslash \backslash$

$\backslash$hline Trademarks & $260,000$ & $200,000$ & $280,000\backslash \backslash$

$\backslash$hline Patented technology & $410,000$ & $150,000$ & $190,000\backslash \backslash$

$\backslash$hline Liabilities & $\backslash ((390,000)\backslash )$ & $\backslash ((120,000)\backslash )$ & $\backslash ((120,000)\backslash )\backslash \backslash$

$\backslash$hline Revenues & $\backslash ((900,000)\backslash )$ & $(400,000)$ & $\backslash \backslash$

$\backslash$hline Expenses & $500,000$ & $300,000$ & $\backslash \backslash$

$\backslash$hline Investment income & Not given & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

a$.$ Compute the $2024$ consolidated net income before allocation to the controlling and noncontrolling interests.

b$.$ In $2024,$ assuming K$-$Tech has declared no dividends, compute the noncontrolling interest's share of the subsidiary's income and the ending balance of the noncontrolling interest in the subsidiary.

c$.$ Compute the amount reported for trademarks in the $2024$ consolidated balance sheet.