Question Details

Study the line chart and table given below and answer the following questions


Line chart shows the number of chairs manufactured by 4 different chair manufacturers (A, B, C & D) in 2016 & 2017 and table shows the number of chairs sold by these manufacturers in 2016 & 2017.


Manufacturer Chairs sold
2016 2017
A 840 1440
B 900 1080
C 570 900
D 810 720

If chairs manufactured by A in 2018 are 50% more than chairs sold by B in 2016 and ratio of sold to unsold chairs of A in 2018 is 2 : 1, then find average of chairs sold by A in 2016, 2017 & 2018.

Options

A

1150

B

1060

C

1200

D

1170

E

1030

Show Answer

Correct Answer :

Option B

1060

Solution :

The correct option is 1060.


Let's break down the problem step-by-step using the data provided in the table and line chart.


Step 1: Understand the given data

From the table of chairs sold:

- Chairs sold by A in 2016 = 840
- Chairs sold by A in 2017 = 1440
- Chairs sold by B in 2016 = 900


Step 2: Find the number of chairs manufactured by A in 2018

It is given that the chairs manufactured by A in 2018 are 50% more than the chairs sold by B in 2016.

Chairs manufactured by A in 2018=900+(50% of 900)

Chairs manufactured by A in 2018=900+450=1350


Step 3: Find the number of chairs sold by A in 2018

The ratio of sold to unsold chairs of A in 2018 is given as 2 : 1.

Total manufactured chairs = Sold chairs + Unsold chairs = 2 parts + 1 part = 3 parts.

Chairs sold by A in 2018=23×1350=900


Step 4: Calculate the average of chairs sold by A in 2016, 2017, and 2018

Total chairs sold by A in (2016 + 2017 + 2018)=840+1440+900=3180

Average=31803=1060


Thus, the average number of chairs sold by A in 2016, 2017, and 2018 is 1060.

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