Question Details

Ganga, Kaveri, and Narmada are three women who buy four raw materials (Mango, Apple, Banana and Milk) and sell five finished products (Mango smoothie, Apple smoothie, Banana smoothie, Mixed fruit smoothie and Fruit salad). Table-1 gives information about the raw materials required to produce the five finished products. One unit of a finished product requires one unit each of the raw materials mentioned in the second column of the table.

Finished product Raw materials required
Mango smoothie Mango, Milk
Apple smoothie Apple, Milk
Banana smoothie Banana, Milk
Mixed fruit smoothie Mango, Apple, Banana, Milk
Fruit salad Mango, Apple, Banana

One unit of milk, mango, apple, and banana cost

Milk = 5 , Mango = 3 , Apple = 2 , Banana = 1

respectively. Each unit of a finished product is sold for a profit equal to two times the number of raw materials used to make that product.

Profit per unit = 2 × (Number of raw materials used)

For example, apple smoothie is made with two raw materials (apple and milk) and is sold for a profit of

Profit = 2 × 2 = 4

per unit.

Leftover raw materials are sold during the last business hour of the day for a loss of per unit

The amount, in rupees, received from sales (revenue) for each woman in each of the four business hours of the day is given in Table-2.


Table-2
Business Hour Ganga Kaveri Narmada
Hour 1 23 19 31
Hour 2 21 22 21
Hour 3 29 30 23
Hour 4 (last hour) 30 27 22

The following additional facts are known.

  1. No one except possibly Ganga sold any Mango smoothie.
  2. Each woman sold either zero or one unit of any single finished product in any hour.
  3. Each woman had exactly one unit each of two different raw materials as leftovers.
  4. No one had any banana leftover.

What BEST can be concluded about the total number of units of milk the three women had in the beginning?

Options

A

Either 19 or 20 units.

B

Either 18 or 19 or 20 units.

C

Either 18 or 19 units.

D

Either 17 or 18 or 19 units.

Show Answer

Correct Answer :

Option B

Either 18 or 19 or 20 units.

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