Read the information below and answer the question:
Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was $800$, $70\%$ of which were to be delivered to Party $3$ and the rest equally divided between Party $1$ and Party $2$.
Pizzas could be of Thin Crust $\text{(T)}$ or Deep Dish $\text{(D)}$ variety and come in either Normal Cheese $\text{(NC)}$ or Extra Cheese $\text{(EC)}$ versions. Hence, there are four types of pizzas: $\text{T-NC, T-EC, D-NC}$ and $\text{D-EC}$. Partial information about proportions of $\text{T}$ and $\text{NC}$ pizzas ordered by the three parties is given below:
$\begin{array}{lccc} & \text{Thin Crust (T)} & \text{Normal Cheese (NC)} \\ \text{Party 1} & 0.6 & - \\ \text{Party 2} & 0.55 & 0.3 \\ \text{Party 3} & - & 0.65 \\ \text{Total }& 0.375 & 0.52 \end{array}$
Suppose that a $\text{T-NC}$ pizza cost as much as a $\text{D-NC}$ pizza, but $3/5$th of the price of a $\text{D-EC}$ pizza. A $\text{D-EC}$ pizza costs Rs. $50$ more than a $\text{T-EC}$ pizza, and the latter costs Rs. $500$.
If $25\%$ of the Normal Cheese pizzas delivered to Party $1$ were of Deep Dish variety, what was the total bill for Party$1?$
- Rs. $59480$
- Rs. $59840$
- Rs. $42520$
- Rs. $45240$