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 amountsfor an internal report. He has collated partial information and prepared the following table.

The following additional information is known.

- The sales amounts in the Apparel departments were the same for Delhi and Kolkata in 2018.
- 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 department for Delhi in 2019.
- The sales amounts in the HomeDecor departments were the same for Mumbai and Kolkata in 2018.
- The sum of the sales amounts of four Electronics departments increased by the same amount as the sum of the sales amounts of four Apparel departments from 2018 to 2019.
- The total sales amounts of the four HomeDecor departments increased by Rs 70 Crores from 2018 to 2019.
- The sales amounts in the HomeDecor departments of Delhi and Bengaluru each increased by Rs 20 Crores from 2018to 2019.
- 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.
- The sales amountsin the Apparel departments of Delhi, Kolkata and Bengaluru in 2019 followed an Arithmetic Progression.

**Question 1: **

In HomeDecor departments of which cities were the sales amounts the highest in 2018 and 2019, respectively?

- Delhi and Delhi
- Mumbai and Mumbai
- Bengaluru and Delhi
- Mumbai and Delhi

**Show Answer**

**1**

**Question 2: **

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

- 12
- 5
- 10
- 8

**Show Answer**

**1**

**Question 3: **

Among all the 12 departments (i.e., the 3 departments in each of the 4 cities), what was the maximum percentage increase in sales amount from 2018 to 2019?

- 75
- 50
- 28
- 25

**Show Answer**

**2**

**Question 4: **

What was the total sales amount, in Crore Rupees, in 2019 for the chain of departmental stores?

- 750
- 150
- 600
- 900

**Show Answer**

**4**

From (6)

HomeDecor

Delhi (2018) = 100-20 = 80

Bengaluru (2018) = 80-20 = 60

From (3)

HomeDecor

Let Mumbai (2018) = Kolkata (2018) = a

So, Data for HomeDecor will be as follows

From (5)

(80 + a + 60 + a) + 70 = (100 + 72 + 80 + 54)

2a + 210 = 306

2a = 96

a = 48

We have found all the values for HomeDecor. Now we will find values for Apparels

From (1)

Apparels

Let Delhi (2018) = Kolkata (2018) = b

From (2)

Apparels

Let Mumbai (2018) = Bengaluru (2018) = Delhi (2019) = c

From (7)

Apparels

Bengaluru (2019) = c + (c-b) = 2c -b

Also, Mumbai (2019) = c + (54-b) = c-b + 54

Now there are two variables. We need two equations to get their values.

From (8)

Apparels 2019

Delhi - Kolkata = Kolkata - Bengaluru

Delhi + Bengaluru = 2 (Kolkata)

c + 2c - b = 2(54)

3c -b = 108 ..............(I)

From (4) From 2018 to 2019

Total Increase in apparels Sales = Total Increase in Electronics Sales

[c + (c - b + 54) + (2c - b) + 54] - [b + c + c + b] = [98 + 102 + 70 + 100 ] - [78 + 82 + 90 + 80]

[4c - 2b + 108 ] - [2b + 2c ] = 370 - 330

2c - 4b + 108 = 40

2c - 4b = - 68

c - 2b = - 34 .......... ( II )

Solving ( I ) and ( II ) we get

b = 42 and c = 50

Substituting we get

**Question 1:**

HomeDecor 2018 Highest sales in Delhi

HomeDecor 2019 Highest Sales in Delhi

Option: 1**Question 2:**

62 - 50 = 12

Option: 1**Question 3:**

Maximum percentage increase is form Mumbai HomeDecor from 2018 to 2019 Percentage Increase \(=\frac{72-48}{48} \times 100=\frac{24}{48} \times 100=50 \%\)

Option: 2**Question 4:**

Option: 4

### CAT 2020 LRDI sets with Solutions

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