An exhibition was conducted for 4 weeks. The number of tickets sold in 2nd workweek was increased by 20% and increased by 16% in the 3rd workweek but decreased by 20% in the 4th workweek. Find the number of tickets sold in the beginning, if 1392 tickets were sold in the last week?
1250
1200
1050
1205
Explanation:
Let the number of ticket at the beginning be X.
Then, (X-20 $\times$ X)/100=1392
=> X =1740. (IN LAST WEEK)
Then, (X+16 $\times$ X)/100=1740 =>X=1500. (IN 3RD WEEK)
Also, (X+20 $\times$ X)/100=1500 =>X=1250. (IN 2ND WEEK).
So, total 1250 tickets sold at beginning.