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

Note – Total chairs manufactured by any manufacturer in any year = Total chairs (sold + unsold) of that manufacturer in that year.

Unsold chairs of A & D together in 2016 are what percent of sold chairs of B & D together in 2017?

The correct option is 25%.

Let's extract the relevant manufactured and sold chair counts for manufacturers A, B, and D from the provided line chart and table.

1. Manufactured Chairs from the Line Chart:

From the line chart (blue diamond line for 2016):

• Chairs manufactured by A in 2016 = 1200

• Chairs manufactured by D in 2016 = 900

2. Unsold Chairs of A & D together in 2016:

Unsold chairs = Total manufactured chairs - Total sold chairs

• For Manufacturer A in 2016:

Chairs sold = 840

Unsold chairs of A in 2016 = 1200 - 840 = 360

• For Manufacturer D in 2016:

Chairs sold = 810

Unsold chairs of D in 2016 = 900 - 810 = 90

• Total unsold chairs of A & D together in 2016:

$360+90=450$

3. Sold Chairs of B & D together in 2017:

From the table under the 2017 column:

• Chairs sold by B in 2017 = 1080

• Chairs sold by D in 2017 = 720

• Total sold chairs of B & D together in 2017:

$1080+720=1800$

4. Calculate the required percentage:

We need to find what percent the unsold chairs of A & D together in 2016 ($450$) are of the sold chairs of B & D together in 2017 ($1800$).

$\text{Percentage}=\left(\frac{450}{1800}\right)\times 100$

$\text{Percentage}=\frac{1}{4}\times 100=25\%$

Hence, the required percentage is 25%.