A certain sum of money becomes Rs.750 in 2 years and becomes Rs.873 in 3.5 years.Find the sum and rate of interest.
A. Rs.400, 13% p.a B. Rs.500,11%p.a C. Rs.630,12%p.a D. Rs.600,13%p.a

• 750=P+2I....(1)
  873=P+3.5I...(2)
  (2)-(1)=123=1.5I
  I=82
  
  for 2 years I=164
  P+164=750
  P=586
  
  then 164=586*2*R/100
  R=164*100/(586*2)
  r=13.99%
• 8 years agoHelpfull: Yes(29) No(0)
• s.i for 1 1/2 years=873-750=123
  s.i for 2 years=123*4/3=164
  principal=750-164=586,t=2,s.i=164
  r=100*164/(586*2)=13.99%
• 9 years agoHelpfull: Yes(22) No(8)
• plz explain why did u multiply 4/3 @sowjanya
  
• 9 years agoHelpfull: Yes(17) No(0)
• for 1.5 years 123
  for 1 year 82
  for 2 years 164
  so initial amount is 750-164=586
  82 is what %of 586=(82/586)*100=13.99%.
• 9 years agoHelpfull: Yes(12) No(0)
• 1 1/2= 3/2
  
  So, s.i for 3/2 years=873-750=123
  S.I for 1 year = 123/(3/2)= 123*(2/3)=82
  s.i for 2 years= 82*2 = 164
  
  principal=750-164=586,
  t=2,
  s.i=164
  Now, R= S.I.*100/(p*t)
  r=100*164/(586*2)=13.99%
• 9 years agoHelpfull: Yes(7) No(0)
• P + SI for 3.5 yrs = Rs 873
  P + SI for 2 yrs = Rs 756
  On subtracting, SI for 1.5 yrs = Rs 117
  Therefore, SI for 2 yrs = Rs (117/1.5) x 2= Rs 156
  So P = 756 – 156 = Rs 600
  and rate = (100 x 156) / ( 600 x 2 ) = 13% per annum.
• 8 years agoHelpfull: Yes(4) No(0)
• sum =600 becomes 756 in 2 years and 873 in 3.5 years if rate is 13 percent.
  So the better be reviewed
• 9 years agoHelpfull: Yes(3) No(0)
• And is d 600,13%
• 9 years agoHelpfull: Yes(3) No(0)
• SI FOR 2 YEARS - 2*123*2/3 = 123 *4/3 @Sravani
• 9 years agoHelpfull: Yes(1) No(0)
• the answer is best close to option C.......by hit and trial method u can simply catch the answer.....
• 8 years agoHelpfull: Yes(0) No(2)
• 750-p=p*r*2/100-->equation 1
  873-p=P*r*3.5/100-->equation 2
  dividing them both we get p
• 8 years agoHelpfull: Yes(0) No(0)