The following table embodies the details about the profits (in Rupees Lakhs)…

2024

The following table embodies the details about the profits (in Rupees Lakhs) earned by five Retail Stores A-E during the years 2018-2023. Based on the data in the table, answer the questions that follow.

Store-wise Details of Profit

Store

Profit (in ₹ Lakh) earned in the year 2018

Profit (in ₹ Lakh) earned in the year 2019

Profit (in ₹ Lakh) earned in the year 2020

Profit (in ₹ Lakh) earned in the year 2021

Profit (in ₹ Lakh) earned in the year 2022

Profit (in ₹ Lakh) earned in the year 2023

A

12

18

24

21

15

30

B

9

15

18

12

21

24

C

27

33

24

21

30

36

D

15

12

18

9

21

9

E

18

21

15

15

12

24

Note: Profit = Income – Investment

In the year 2019, to earn a profit of 20%, by each of the stores C and E, what is the ratio of investments made by C to that of E?

  1. A.

    7 : 11

  2. B.

    1 : 5

  3. C.

    5 : 1

  4. D.

    11 : 7

Show answer & explanation

Correct answer: D

From the table, in 2019, Store C earned a profit of ₹33 Lakhs and Store E earned ₹21 Lakhs.

Given a 20% profit margin, Investment = Profit / (Profit % / 100).

For Store C: Investment = 33 / 0.20 = ₹165 Lakhs.

For Store E: Investment = 21 / 0.20 = ₹105 Lakhs.

The ratio of investments (C:E) is 165:105. Simplifying by dividing both by 15 gives the final ratio of 11:7.

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