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:
If the Petrol version SUV sales of Tata Motors Ltd in 2019 were increased by forty percent, what would be the ratio of the Diesel version SUV sales of Tata Motors Ltd to the increased Petrol version SUV sales of Tata Motors Ltd in the same year ?
0.79
0.97
1.02
1.26
We know that :
|
M and M Ltd SUVs |
Tata Motors Ltd SUVs |
||
|
Petrol/Diesel Sales Ratio |
Fraction Value |
Petrol/Diesel Sales Ratio |
Fraction Value |
2017 |
0.86 |
6/7 |
1.33 |
4/3 |
2018 |
0.75 |
3/4 |
1.25 |
5/4 |
2019 |
1.10 |
11/10 |
0.90 |
9/10 |
2020 |
1.20 |
6/5 |
1.00 |
1 |
2021 |
0.90 |
9/10 |
1.20 |
6/5 |
2022 |
0.44 |
4/9 |
0.80 |
4/5 |
Ratio of the Petrol version SUV sales of Tata Motors Ltd to the Diesel version SUV sales of Tata Motors Ltd in 2019
= 0.90 = 9/10 = 9 : 10
Hence Petrol version SUV sales = 9 units
After 40% increase, new value of Petrol version SUV sales = (9*140)/100 = 63/5 units
After the increase in Petrol version SUV sales, value of Ratio of the Petrol version SUV sales of Tata Motors Ltd to the Diesel version SUV sales of Tata Motors Ltd in 2019 = 63/5 : 10 = 63 : 50
Hence, after the increase in Petrol version SUV sales, the ratio of the Diesel version SUV sales of Tata Motors Ltd to the increased Petrol version SUV sales of Tata Motors Ltd in 2019 = 50 : 63 = 50/63 = 0.79