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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
Read Solution (Total 6)
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- let initially X ticket has been sold.
so now in 2nd week 20% increases so
x*120/100
in 3rd week 16% increases so
x*(120/100)*(116/100)
in 4th week 20% decrease so
x*(120/100)*(116/100)*(80/100)=1392
x=1250 Ans. - 9 years agoHelpfull: Yes(10) No(1)
- (X-20*X)/100=1392====>X=1740.(IN LAST WEEK)
(X+16*X)/100=1740====>X=1500. (IN 3RD WEEK)
(X+20*X)/100=1500=====>X=1250 .(IN 2ND WEEK).
sO ANSWER IS 1250. TICKET SOLD IN BEGINNING.
1250. - 9 years agoHelpfull: Yes(8) No(1)
- let x be total number of tickets
for last week it is decreased be 20% hence
x-0.2x=1390
x=1737.5
for third week it is increased by 16% hence
x+0.16x=1737.5
x=1497.84
for second week it is increased by 20% hence
x+0.2x=1497.84
x=1248.2
hence the answer is 1248.2 which is close 1250.
so the correct answer is 1250 - 9 years agoHelpfull: Yes(5) No(0)
- simplest approach -
1.2x X 1.16 X 0.8 = 1392
find x. x= 1250 - 9 years agoHelpfull: Yes(4) No(2)
- Ans :1250
(100รท116)*1392 - 9 years agoHelpfull: Yes(1) No(6)
- 1000
let initial week be >x
next increases 20% means>1.2x
next 3rd week 16%>1.392x
4th week 20% dcrmnt equats to 1392
ans 1000 - 9 years agoHelpfull: Yes(0) No(10)
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