if net profit before tax is £109978 Gross profit is 56% Net profit is 35% What would the profit margins be if the net profit before tax was £139978

To find the profit margins, we need to calculate the gross profit and net profit.

Given:
Net profit before tax (initial): £109978
Gross profit (initial): 56% of the net profit before tax
Net profit (initial): 35% of the net profit before tax

Let's calculate the gross profit:
Gross profit (initial) = 56% × Net profit before tax (initial)

\begin{align*}
\text{Gross profit (initial)} &= 56\% \times £109978 \
&= 0.56 \times £109978 \
&= £61588.88
\end{align*}

Now, let's calculate the net profit:
Net profit (initial) = 35% × Net profit before tax (initial)

\begin{align*}
\text{Net profit (initial)} &= 35\% \times £109978 \
&= 0.35 \times £109978 \
&= £38492.3
\end{align*}

To find the new profit margins when the net profit before tax is £139978, we will use the same percentages.

New Gross profit = 56% × Net profit before tax (new)
New Net profit = 35% × Net profit before tax (new)

Substituting the new net profit before tax:

New Gross profit = 56% × £139978
New Net profit = 35% × £139978

Now, let's calculate the new gross profit:
New Gross profit = 56% × £139978

\begin{align*}
\text{New Gross profit} &= 0.56 \times £139978 \
&= £78387.68
\end{align*}

Now, let's calculate the new net profit:
New Net profit = 35% × £139978

\begin{align*}
\text{New Net profit} &= 0.35 \times £139978 \
&= £48992.3
\end{align*}

Therefore, the new profit margins are:
Gross profit margin = (New Gross profit / Net profit before tax (new)) × 100
Net profit margin = (New Net profit / Net profit before tax (new)) × 100

Let's calculate the new profit margins:

Gross profit margin = (New Gross profit / £139978) × 100

\begin{align*}
\text{Gross profit margin} &= (£78387.68 / £139978) \times 100 \
&= 55.97\%
\end{align*}

Net profit margin = (New Net profit / £139978) × 100

\begin{align*}
\text{Net profit margin} &= (£48992.3 / £139978) \times 100 \
&= 35.00\%
\end{align*}

Answer:
- The new gross profit margin would be 55.97%.
- The new net profit margin would be 35.00%.