). A Certain sum of money an amounts to Rs 2500 in a span Of 5 years and further to Rs.3000 in a span of 7 years at simple interest The sum is
a) Rs.1000 b) Rs.1200 c) Rs.1050 d) 1250

• simple interest diff of two years is 500.for one year it is 250.
  so subtract 5*250=1250 from 2500 for 5 years.
  the initial sum is2500-1250=1250
  option d
  
• 8 years agoHelpfull: Yes(32) No(3)
• 2500 in 5th year and 3000 in 7th year
  so in between 2 years rs 500 is increased so 500/2=250
  per year it is increasing 250 then in 5 years is ----250*5=1250
  finally 2500-1250=1250
• 8 years agoHelpfull: Yes(15) No(0)
• As the rate of interest for both the cases are same
  
  (A1-P)/T1 = (A2-P)/T2
  
  (2500-p)/5=(3000-p)/7
  17500 - 7p = 15000 - 5p
  
  p=1250
  
  2500
• 7 years agoHelpfull: Yes(9) No(0)
• amount= sum+PI ,Form the two equation by using the amount the divide them you will get rate=20% now put this rate in any of the equation you get the sum i.e sum=1250
• 8 years agoHelpfull: Yes(3) No(1)
• answer is 1250.
  solution is:-
  -1st way
  rate is same
  (A1-P)/P*T1=(A2-P)/P*T2
  solving above equation, we get P=1250
  
  -2nd way
  in 5 years, A=2500
  in 7 years, A=3000
  
  7-5= 2
  in 2 years, 3000-2500=500
  i.e. interest increased by 500.
  therefore,
  2 years=500
  1 year=500/2=250
  
  therefore, for 5 years, Interest is 250*5=1250 and for 7 years, interest is 250*7=1750
  so, for 5 years, P=A-I=2500-1250=1250
  for, 7 years, P=A-I=3000-1750=1250
  
  so, prinicpal and rate are same i.e. principal is d) 1250.
• 6 years agoHelpfull: Yes(0) No(0)