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Question

The following table shows the details of

(i) number of outlets,

(ii) average sales (in Rs. Lakh) per outlet, and

(iii) total profit (in Rs. lakh) of all the outlets of six HP-showrooms A-F selling Laptops in two years 2020 and 2021.

Based on the data in the table, answer the question.

H.P. Showroom wise Sales and Profit Figures in two Years.

HP-Showrooms

Number of Outlets

Average Sales

(in Rs. Lakh) per Outlet

Total Profit

(in Rs. Lakh) of all the Outlets

2020

2021

2020

2021

2020

2021

A

2

3

100

110

80

120

B

4

6

340

360

250

400

C

1

3

120

140

80

100

D

5

6

180

240

240

360

E

3

4

360

350

300

320

F

5

5

80

60

30

30

For all the outlets of a given showroom, if the total profit is equal to the total sales minus the total investment, then the total investment of HP-showroom F in the year 2020 was :

The correct answer is Rs. 370 lakhs

Understanding the HP Showroom Data Analysis Question

The question asks us to determine the total investment of HP-showroom F specifically for the year 2020, based on the provided data table. We are given a formula relating total profit, total sales, and total investment: Total Profit = Total Sales - Total Investment.

To find the total investment, we need two pieces of information for Showroom F in 2020: its total profit and its total sales. The table directly provides the total profit. The total sales are not directly given but can be calculated using the number of outlets and the average sales per outlet.

Extracting Data for HP-Showroom F in 2020

Let's look at the data provided for HP-Showroom F in the year 2020 from the table:

  • Number of Outlets: 5
  • Average Sales (in Rs. Lakh) per Outlet: 80
  • Total Profit (in Rs. Lakh) of all the Outlets: 30

Calculating Total Sales for Showroom F in 2020

The total sales for a showroom is the product of the number of outlets and the average sales per outlet. For Showroom F in 2020:

Total Sales = Number of Outlets $\times$ Average Sales per Outlet

Plugging in the values for Showroom F in 2020:

Total Sales (F, 2020) = $5 \times 80$ Rs. Lakh

Total Sales (F, 2020) = $400$ Rs. Lakh

Calculating Total Investment for Showroom F in 2020

The question provides the formula: Total Profit = Total Sales - Total Investment.

We need to find the Total Investment. We can rearrange the formula to solve for Total Investment:

Total Investment = Total Sales - Total Profit

Now, we can use the calculated Total Sales for Showroom F in 2020 (which is 400 Rs. Lakh) and the given Total Profit for Showroom F in 2020 (which is 30 Rs. Lakh).

Total Investment (F, 2020) = Total Sales (F, 2020) - Total Profit (F, 2020)

Total Investment (F, 2020) = $400 - 30$ Rs. Lakh

Total Investment (F, 2020) = $370$ Rs. Lakh

Therefore, the total investment of HP-showroom F in the year 2020 was Rs. 370 lakhs.

Summary of Calculations

  • Data for Showroom F (2020): Outlets = 5, Avg Sales = 80, Profit = 30
  • Calculated Total Sales = $5 \times 80 = 400$ Rs. Lakh
  • Given Formula: Total Profit = Total Sales - Total Investment
  • Rearranged Formula: Total Investment = Total Sales - Total Profit
  • Calculated Total Investment = $400 - 30 = 370$ Rs. Lakh

Complete Data Table Analysis

Here is the complete table for reference:

HP-Showrooms Number of Outlets Average Sales
(in Rs. Lakh) per Outlet
Total Profit
(in Rs. Lakh) of all the Outlets
2020 2021 2020 2021 2020 2021
A 2 3 100 110 80 120
B 4 6 340 360 250 400
C 1 3 120 140 80 100
D 5 6 180 240 240 360
E 3 4 360 350 300 320
F 5 5 80 60 30 30

Revision Table: HP Showroom F Investment Calculation

Metric Value (2020) Source/Calculation
Number of Outlets (F) 5 From table
Average Sales per Outlet (F) 80 Rs. Lakh From table
Total Sales (F) $5 \times 80 = 400$ Rs. Lakh Calculated
Total Profit (F) 30 Rs. Lakh From table
Total Investment (F) Total Sales - Total Profit = $400 - 30 = 370$ Rs. Lakh Calculated using the given formula

Additional Information on Business Metrics

In business analysis, understanding the relationship between sales, profit, and investment is crucial. Here's a breakdown of these key terms:

  • Total Sales: This represents the total revenue generated from selling products or services. In this context, it's the revenue from laptop sales across all outlets of a showroom.
  • Total Profit: This is the amount remaining after all expenses, including the cost of investment and operational costs, are subtracted from the total sales revenue. The formula given (Profit = Sales - Investment) implies that 'Investment' here might encompass the primary cost or outlay related to generating those sales, potentially simplifying the profit calculation for this specific problem.
  • Total Investment: This refers to the total amount of money put into the business or project to achieve the sales. It could include costs like setting up outlets, purchasing inventory (laptops), marketing, etc. In the context of the given formula, it represents the part of expenses that, when subtracted from sales, yields the stated profit.

Analyzing these metrics over different years (like 2020 and 2021 in the table) helps businesses understand growth, efficiency, and profitability trends for each showroom.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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