If the productions of wheat in Bihar in the years 2001,2002, 2003 and 2004 increases by 20%,25%,28% and 35% respectively , what will be the percentage increases in the average production of the state for the given years ?

Options

A. `35.7%`
B. `38.7%`
C. `40.7%`
D. `42.5%`

Answer

B

Explanation

Increase in wheat production in Bihar:
Year 2001 `implies(2800xx120)/(100)=RS3360` quintals
Year 2002 `implies(2700xx125)/(100)=RS3375` quintals
Year 2003 `implies(2800xx128)/(100)=RS3584` quintals
Year 2004 `implies(3800xx135)/(100)=RS5130` quintals
Total new production =3360+3375+3584+5130+2100+3800+3600=29949 quintals
Total earlier production =2800+2700+2800+3800+2100+3800+3600=21600 quintals
Increase =29949-21600 =8349 quintals
Average increase `=(8349)/(7)` quintals
Required percentage in increase
`((8349)/(7))/(=21600/(7))xx100=38.7%`