Question

The following bar graph shows the percentage of chairs produced by two companies Neel Kamal and Raj Kamal during five different years. Bar graph also shows the total no. of chairs produced in different years associated with it. Study the graph carefully to answer the following questions:

$i)$ Find the average no. of chairs produced by Raj Kamal in the years 2004, 2006 and 2007 together.

$ii)$ What is the ratio of no. of chairs produced by Neel Kamal in the years 2007 and 2008 together to that by Raj Kamal in the same years together?

$iii)$ If 12% chairs out of total chairs produced in the year 2008 were defective and in them ratio of defective chairs by Raj Kamal and Neel Kamal is 2 : 3 then find the no. of defective chairs produced by Neel Kamal in the year 2008.

Answer 1

$i)\frac{1}{3}\times (54\times 150+60\times 300+36\times 450)$

$=\frac{1}{3}\times 42300$

$=14100$.

$ii)$ Required ratio of chairs $=\frac{64\times 450+56\times 500}{36\times 450+44\times 500}$

$=\frac{56800}{38200}$

$=\frac{284}{191}$.

$iii)$ Required number of chairs $=\frac{3}{5}\times \frac{12}{100}\times 50000=3600$.