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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 Petrol version SUV sales of Tata Motors Ltd had consistently decreased at a rate of five percent per annum, then in which year was the Diesel version SUV sales of Tata Motors Ltd the maximum among the six years ?

Option: 1

2019


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

Let the Petrol version SUV sales of Tata Motors Ltd in 2017 be 100 units.

Hence, as per the criterion that the Petrol version SUV sales of Tata Motors Ltd had consistently decreased at a rate of five percent per annum, the Diesel version SUV sales of Tata Motors Ltd can be expressed as below :

 

 

Tata Motors Ltd SUVs

 

Petrol/Diesel Sales Ratio

Fraction Value

Petrol sales

Diesel sales

2017

1.33

4/3

100 units

(100/4)*3                              = 75 units

2018

1.25

5/4

(100*95)/100           = 95 units

(95/5)*4                             = 76 units

2019

0.90

9/10

(95*95)/100             = 90.25 units

(90.25/9)*10                    = 100.28 units

2020

1.00

1/1    

(90.25*95)/100                          = 85.74 units

85.74 units

2021

1.20

6/5

(85.74*95)/100                           = 81.45 units

(81.45/6)*5                          = 67.88 units

2022

0.80

4/5

(81.45*95)/100                           = 77.38 units

(77.38/4)*5                        = 96.72 units

Hence, we can see that if the Petrol version SUV sales of Tata Motors Ltd had consistently decreased at a rate of five percent per annum, Diesel version SUV sales of Tata Motors Ltd of the year 2019 stand maximum at 100.28 units.

Hence the answer is 2019

 

 

Posted by

seema garhwal

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