The pie chart shows how Rory spent his pocket money last month. He spent $30 more on item D than item C. How much did he spend on item B?

1. Determine the percentage of the total represented by sector C.

Sector C has a right angle ($90^\circ$), so it represents $\frac{90}{360} \times 100\% = 25\%$.

2. Find the percentage difference between item D and item C.

Percentage difference = $35\% - 25\% = 10\%$

3. Determine the value of 1% of the total pocket money.

Since $10\%$ represents $\char36{}30$,
$1\%$ represents $\char36{}30 \div 10 = \char36{}3$.

4. Calculate the percentage for item B.

Sector A also has a right angle, so it is $25\%$.
Percentage for B = $100\% - 25\% \text{ (A)} - 25\% \text{ (C)} - 35\% \text{ (D)} = 15\%$

5. Calculate the amount spent on item B.

Amount for B = $15 \times \char36{}3 = \char36{}45$