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  • Directions for question : The following line graph shows the ratio of the sales of the Petrol and Diesel version of SUVs (calculated in rupees)

Directions for question :

The following line graph shows the ratio of the sales of the Petrol and Diesel version of SUVs (calculated in rupees) made by the two automobile giants of India – Tata Motors Ltd and Mahindra and Mahindra Ltd (M and M Ltd), in India, for a period of six years from 2017 to 2022 :

Question:

From 2017 to 2022, if the Diesel version SUV sales of Mahindra and Mahindra Ltd had consistently increased at a rate of three percent per annum, then in which year was the Petrol version SUV sales of Mahindra and Mahindra Ltd the minimum among the six years ?

 

Option: 1

2022


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

Let the Diesel version SUV sales of M and M Ltd in 2017 be 100 units.

Hence, as per the criterion that the Diesel version SUV sales of M and M Ltd had consistently increased at a rate of three percent per annum, the Petrol version SUV sales of M and M Ltd can be expressed as below :

 

 

M and M Ltd SUVs

 

Petrol/Diesel Sales Ratio

Fraction Value

Diesel sales

Petrol sales

2017

0.86

6/7

100 units

(100/7)*6                              = 85.71 units

2018

0.75

3/4

(100*103)/100           = 103 units

(103/4)*3                             = 77.25 units

2019

1.10

11/10

(103*103)/100             = 106.09 units

(106.09/10)*9                    = 95.48 units

2020

1.20

6/5    

(106.09*103)/100                          = 109.27 units

(109.27/5)*6                    = 131.12 units

2021

0.90

9/10

(109.27*103)/100                           = 112.55 units

(112.55/10)*9                          = 101.30 units

2022

0.44

4/9

(112.55*103)/100                           = 115.93 units

(115.93/9)*4                        = 51.52 units

Hence, we can see that if the Diesel version SUV sales of M and M Ltd had consistently increased at a rate of three percent per annum, Petrol version SUV sales of M and M Ltd of the year 2022 stand minimum at 51.52 units.

Hence the answer is 2022 .

 

Posted by

Ramraj Saini

View full answer

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