Question Details

The given bar graph shows exports of cars of type A and B (in ₹ millions) from 2014 to 2018. Study the graph and answer the question that follows.

What is the ratio of the total exports of cars of type A in 2014 and 2018 to the total exports of cars of type B in 2015 and 2017?

Options

A

20 : 21

B

10 : 9

C

5 : 4

D

13 : 12

Show Answer

Correct Answer :

Option A

20 : 21

20 : 21

Solution :

The correct answer is 20 : 21.

By carefully reading the bar graph, we can extract the following export values (in ₹ millions) for cars of type A and type B across all five years:

Type A exports:
2014 → 200 | 2015 → 150 | 2016 → 275 | 2017 → 175 | 2018 → 300

Type B exports:
2014 → 225 | 2015 → 250 | 2016 → 200 | 2017 → 275 | 2018 → 325

Now, the question asks for the ratio of the total exports of Type A in 2014 and 2018 to the total exports of Type B in 2015 and 2017.

Step 1: Calculate the total exports of Type A in 2014 and 2018.

A2014 + A2018 = 200 + 300 = 500

Step 2: Calculate the total exports of Type B in 2015 and 2017.

B2015 + B2017 = 250 + 275 = 525

Step 3: Form the ratio and simplify.

Ratio = 500 : 525

To simplify, find the GCD of 500 and 525. Both are divisible by 25:

50025 : 52525 = 20 : 21

Therefore, the required ratio of total exports of Type A in 2014 and 2018 to total exports of Type B in 2015 and 2017 is 20 : 21.

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