The table below shows the ratio of manufacturing of Car A to the manufacturing of Car B by the same company from 2012-2016.

The Line graph shows the manufacturing (in thousands) of Car A, from 2012-2016.

What is the ratio of number of Car B manufactured in 2012 to the number of Car A manufactured in 2014?

Year Production Ratio of A to B
2012 17 : 16
2013 8 :7
2014 9 : 10
2015 18 : 19
2016 7 : 6

 

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  1. 79 : 61
  2. 80 : 61
  3. 79 : 63
  4. 80 : 63

Answer (Detailed Solution Below)

Option 4 : 80 : 63
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Detailed Solution

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Calculation:

The ratio of number of car A and car B in 2012 = 17 : 16

The production of car A in 2012 = 850

Let the ratio of number of car A and car B be 17x and 16x respectively

⇒ 17x = 850

⇒ x = 50

The production of car B = 16x = 16 × 50 = 800

The number of car A manufactured in 2014 = 630

Required ratio = (800 : 630)

⇒ 80 : 63

∴  The ratio of number of Car B manufactured in 2012 to the number of Car A manufactured in 2014 is 80 : 63

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