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Solve this DILR Question on Funky Pizzeria from CAT 2017. You are expected to answer the questions that follow, based on the constraints given and the graphs that accompany them. Some constraints could be specific to each question. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.

## CAT DILR : 2017 slot 2 questions

### Funky Pizzeria

Funky Pizzeria was required to supply Pizzas to three different parties. The total number of Pizzas it had to deliver was 800. 70% of which was to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.

Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, there are 4 types of Pizzas: T – NC, T – EC, D-NC, D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties are given below.

Question 4: Suppose that a T-NC pizza cost as much as a D-NC pizza, but 3/5th of the price of a D-EC pizza. A D-EC pizza costs Rs. 50 more than a 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?

1. Rs.59480
2. Rs.59840
3. Rs.42520
4. Rs.45240

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### Explanatory Answer

##### Method of solving this Question on CAT DILR

General Solution

First, let us get some simple numbers in place. 70% of 800 people attended Party 3. Or, 560 people attended this party. The remaining 240 were split equally, or 120 each on Party 1 and Party 2.

Now, let us look at these decimals. 0.6 = 3/5; 0.55 = 11/20; 0.3 = 3/10; 0.65 = 13/20;
The best of the fractions is 0.375 which is 3/8; this helps a lot. Now, we know that we are going to fill data in two classifications T or D and NC or EC. So, let us capture data also in these two formats

After we create these two tables, it is just a matter of filling the numbers in.

Once some numbers are present, the rest fill in automatically

Given, 25% of NC pizzas delivered to Party 1 were of Deep Dish variety. So, D-NC = 0.25*16 = 4. T-NC = 16 – 4 = 12. Given, D-EC = Rs. 50 more than TEC.
Given, D-EC = Rs. 50 more than TEC. Cost of TEC = Rs. 500. Hence, DEC = Rs.550.
So, cost of TNC = DNC = * 550 = 3*110 = Rs.330.

No. of TNC + DNC = 16. Cost of NC pizzas = 330*16 = 5280.
No. of T-NC = 12. Hence, T-EC = T – T-NC = 72 – 12 = 60.
Cost of T-EC pizzas = 60*500 = 30,000.

No. of D-NC = 4. Hence, D-EC = D – D-NC = 48 – 4 = 44.
Cost of D-EC pizzas = 44*550 = 24200.

Total cost = Rs. 5280 + Rs. 30000 + Rs. 24200 = Rs. 59480.

The question is "what was the total bill for Party 1?"

##### Hence, the answer is "Rs.59480".

Choice A is the correct answer.

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