Q. What will be the difference of the amounts in the two types of saving given below
1) 20 rupee per day upto 100 days
2) 25 paisa then 50 paisa then 75 paisa then so on upto 100 days

Options 1) 300.00
2) 850.50
3) 737.50
4) 1520.50
5) 377.50
6) 675.50
7) 575.50
8) 975.50
9) 1262.50
10) None of these

• lets us calculate the total sum in 1st case =20*100=2000
  In 2nd case it will be a=1/4 , d=1/4 and n=100 now using the formula Sn=(2a+(n-1)d)*n/2 and we get 1262.5 so finally the difference will be 737.50
  so option 3 will be the answer
• 10 years agoHelpfull: Yes(7) No(0)
• 1) sum= 20*100=2000
  2)sum= .25+.50+.75+1+1.25+........t100
  t100= .25+(99*.25)
  =25
  s100= 100/2(.25+25)
  =1262.5
  diff=
  2000-1262.5
  =737.5
• 10 years agoHelpfull: Yes(2) No(0)
• 1) saves 20 rupees for 100 days total= 20*100=2000
  2) .25+.50+.75+..... = .25(1+2+3+...+100)= .25(100)(100+1)/2 =1262.5
  (1)-(2)=737.5
• 10 years agoHelpfull: Yes(1) No(0)
• 10) 20rupee/day then he save 2000rupee in 100days
  & in 2 25,50,75.........100term AP series then 100/2{(2*25)+(100-1)*25}=126250
  then the difference is 124250
• 10 years agoHelpfull: Yes(0) No(7)
• 1) 2000
  2) 1/4(1+2+3+4+5+6+....100)=1/4(100*(100+1)/2)=1262.5
  so 2000-1262.5= 737.5
• 10 years agoHelpfull: Yes(0) No(0)
• 20 rupee per days
  so.100 days=2000
  25+50+75+100+......+100th term
  1st term = 25
  common difference = 25
  no. of term = 100
  sum = 100/2{2*25+(100-1)*25}
  = 50*2525 paisaso
  convert into rupee = (50*2525)/100=1262.50 rupee
  difference = 2000-1262.50 = 737.50
  
• 10 years agoHelpfull: Yes(0) No(0)