CAT 2020 Set-2 | Question: 32

Question

A chain of departmental stores has outlets in Delhi, Mumbai, Bengaluru and Kolkata. The sales are categorized by its three departments – ‘Apparel’, ‘Electronics’, and ‘HomeDecor’. An Accountant has been asked to prepare a summary of the $2018$ and $2019$ sales amounts for an internal report. He has collated partial information and prepared the following table.

The following additional information is known.

1. The sales amounts in the Apparel departments were the same for Delhi and Kolkata in $2018.$
2. The sales amounts in the Apparel departments were the same for Mumbai and Bengaluru in $2018.$ This sales amount matched the sales amount in the Apparel departments for Delhi in $2019.$
3. The sales amounts in the HomeDecor departments were the same for Mumbai and Kolkata in $2018.$
4. The sum of the sales amounts for four Electronics departments increased by the same amount as the sum of the sales amounts of four Apparel departments from $2018$ to $2019.$
5. The total sales amounts of the four HomeDecor departments increased by $\text{Rs} \; 70$ Crores from $2018$ to $2019.$
6.  The sales amounts in the HomeDecor departments Delhi and Bengaluru each increased by $\text{Rs} \; 20$ crores from $2018$ to $2019.$
7. The sales amounts in the Apparel departments of Delhi and Bengaluru each increased by the same amount in $2019$ from $2018.$ The sales amounts in the Apparel departments of Mumbai and Kolkata also each increased by the same amount in $2019$ from $2018.$
8. The sales amounts in the Apparel departments of Delhi, Kolkata and Bengaluru in $2019$ followed an Arithmetic Progression.

What was the increase in sales amount, in Crore Rupees, in the Apparel department of Mumbai from $2018$ to $2019\; ?$

• A. $12$
• B. $5$
• C. $10$
• D. $8$