Question Details

The following bar graph shows exports of cars of type A and B (in `millions) from 2014 to 2018.


What is the ratio of the total exports of cars of type A in 2014 and 2017 to the total exports of cars of type B in 2015 and 2016?

Options

A

10 : 9

B

5 : 6

C

11 : 10

D

3 : 2

Show Answer

Correct Answer :

Option B

5 : 6

5 : 6

Solution :

To find the required ratio, we first extract the values of the exports for the specified types of cars in the given years from the provided bar graph:


1. Total exports of cars of type A in 2014 and 2017:
From the graph, the dark grey bars represent type A cars:
• Exports of type A in 2014 = 200 million
• Exports of type A in 2017 = 175 million
Summing these values:

Total Type A (2014 + 2017) = 200 + 175 = 375 million


2. Total exports of cars of type B in 2015 and 2016:
From the graph, the light grey bars represent type B cars:
• Exports of type B in 2015 = 250 million
• Exports of type B in 2016 = 200 million
Summing these values:

Total Type B (2015 + 2016) = 250 + 200 = 450 million


3. Ratio of the total exports of type A (2014 and 2017) to type B (2015 and 2016):

Ratio = 375 450


Dividing both the numerator and the denominator by their greatest common divisor (75):

Ratio = 375 / 75 450 / 75 = 5 6


Thus, the simplified ratio is 5 : 6.

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