The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:

A. 6 months B. 8 months
C. 9 months D. 10 months

• 
  
  
  
  TD=Amt*R*T/(100+RT)
  given TD=160,Amt=1760,R=12,T=?
  by substituting the values we get,
  160=(1760*12T)/(100+12T)
  160(100+12T)=1760*12T
  100+12T=(1760*12T)/160
  100+12T=132T
  120T=100
  t=100/120=5/6yrs i.e (5/6)*12=10months
  
  
  
  
  
• 12 years agoHelpfull: Yes(10) No(1)
• True Discount=(amnt*R*T)/100.
  hence 10 months
• 12 years agoHelpfull: Yes(6) No(1)
• TD=Amt*R*T/(100+(R*T))
  TD=160
  Amt=1760
  R=12
  T=?
  on substituting and solving we get T=3/4yrs ie 9months
• 12 years agoHelpfull: Yes(5) No(4)
• present worth=amount-true discount
  present worth=1760-160
  present worth=1600
  present worth=amount*100/(100+rate*time)
  1600=1760*100/(100+12*time)
  1=110/(100+12*time)
  100+12*time=110
  time=10/12
  i.e. 10 month
• 12 years agoHelpfull: Yes(4) No(0)
• P.W. = Rs. (1760 -160) = Rs. 1600.
  S.I. on Rs. 1600 at 12% is Rs. 160.
  SI=P*R*T/100 => T=[100*SI]/P*R=[100*160]/[1600*12]=5/6 YEARS=(5/6)*12=10 MONTHS
• 11 years agoHelpfull: Yes(2) No(0)
• i cant undrstand above solutions plz explain with clearly
  
• 12 years agoHelpfull: Yes(0) No(1)
• 9 months
  
  S.I= (P*R*T)/100
• 10 years agoHelpfull: Yes(0) No(0)