CAT 2021 Slot 1 — DILR Question 4
Answer the next 4 questions based on the information given
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 of each of the raw materials mentioned in the second column of the table.
Table - 1
One unit of milk, mango, apple, and banana cost â¹5, â¹3, â¹2, and â¹1 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. For example, apple smoothie is made with two raw materials (apple and milk) and will be sold for a profit of â¹4 per unit. Leftover raw materials are sold during the last business hour of the day for a loss of â¹1 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
The following additional facts are known.
- No one except possibly Ganga sold any Mango smoothie.
- Each woman sold either zero or one unit of any single finished product in any hour.
- Each woman had exactly one unit each of two different raw materials as leftovers.
- No one had any banana leftover.
If it is known that three leftover units of mangoes were sold during the last business hour of the day, how many apple smoothies were sold during the day?
Answer & solution
Answer: 6
Consider the solution to first question of this set.
âââââââ
Since, 3 units of leftover mangoes were sold at the end of the day, hence Kaveri sold leftover mango that means she sold Apple Smoothie in the 4th hour.
We can make the following table with the additional information.
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Number of apple smoothies sold by
Ganga = 2, Kaveri = 1 and Narmada = 2
⇒ Total Apple Smoothies sold = 2 + 2 + 2 = 6
Hence, 6.