The given table shows the number (in thousands)of cars of five different models A, B. C, D and E produced during Years 2012 - 2017. Study the table and answer the question that follow.
|
|
A |
B |
C |
D |
E |
Total |
|
2012 |
18 |
26 |
22 |
23 |
31 |
120 |
|
2013 |
22 |
18 |
32 |
40 |
18 |
130 |
|
2014 |
32 |
43 |
26 |
35 |
34 |
170 |
|
2015 |
18 |
22 |
26 |
14 |
20 |
100 |
|
2016 |
36 |
12 |
44 |
38 |
50 |
180 |
|
2017 |
12 |
48 |
40 |
22 |
28 |
150 |
The percentage decrease in the production of which type of car in 2017, with reference to 2016, was the maximum?
Answer & explanation
Correct answer: option 2
Percentage decrease in car of type A in 2017 comparison to 2016 = \(\frac{36 - 12 }{36}\) × 100
= \(\frac{24}{36}\) × 100 = - 66.67%
Percentage decrease in car of type B in 2017 comparison to 2016 = \(\frac{48 - 12 }{12}\) × 100
= + 75%
Percentage decrease in car of type C in 2017 comparison to 2016 = \(\frac{44 - 40 }{44}\) × 100
= - 9.09%
Percentage decrease in car of type D in 2017 comparison to 2016 = \(\frac{38 - 22 }{38}\) × 100
= - 42.10%
Percentage decrease in car of type E in 2017 comparison to 2016 = \(\frac{50 - 28 }{50}\) × 100
= - 44%
Percentage Decrease is maximum for A i.e. 66.67%