Funky Pizzaria was required to supply pizzas to three different parties

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

1. How many Thin Crust pizzas were to be delivered to Party 3?

  1. 398
  2. 162
  3. 196
  4. 364

2. How many Normal Cheese pizzas were required to be delivered to Party 1?

  1. 104
  2. 84
  3. 16
  4. 196

3. For Party 2, if 50% of the Normal Cheese pizzas were of Thin Crust variety, what was the difference between the numbers of TEC and D-EC pizzas to be delivered to Party 2?

  1. 18
  2. 12
  3. 30
  4. 24

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

Answers

  1. B
  2. C
  3. B
  4. A

1. Thin Crust pizzas delivered to party 3 = z + 162 – z = 162

2. Total Normal Cheese pizzas delivered to the three parties = 0.52 (800) = 416

From the table,

416 = (x + y +z) + (w +36 –y + 364 – z)

416 = 400 + w + x

⇒ w + x = 16

So, party 1 ordered 16 Normal Cheese pizzas

3. Given, of the 36 Normal Cheese pizzas delivered to party 2, 50% or 18 were of Thin Crust variety

∴ y = 18

Difference between 66 – y and 18 + y

= 48 – 2y = 48 – 36

= 12

4. We already know, w + x = 16

Further, we are told that of the x + w Normal Cheese pizzas delivered to party 1, 25% are of Deep Dish variety.

w/(x+w) = 1/4

x = 3w

So, x = 12 and w = 4

Cost of a T-EC pizza = Rs. 500

Cost of a D-EC pizza = Rs. 550

Cost of a T-NC pizza = Rs. 330

Cost of a D-NC pizza = Rs. 330

Total pizza bill for part 1 = 12(330) + 60(500) + 4(330) + 44(550)

= Rs. 59,480