What annual instalment will discharge a debt of Rs.1092 due in 3 years at 12% simple interest?

• Small correction here the total amount due is 1092, that is the amount which has to be paid if the person keeps the principal amount for 3 years.
  
  So, replace {Rs. 1092 + Rs.((1092*12*3)/100) } in the previous solution given by me by 1092.
  
  So by solving we will get X= Rs. 325.
• 12 years agoHelpfull: Yes(19) No(8)
• Let the installment be Rs. X
  
  If he keeps the total amount for 3 years, he have to pay the interest
  
  of Rs. (1092*12*3)/100.
  
  But he paid Rs. X after 1 year.
  
  So he need not to pay interest for Rs. X for remaining 2 years. i.e he
  
  need not to pay Rs. (X*12*2)/100.
  
  And he paid another Rs. X after 2 years.
  
  So he need not to pay interest for for remaining 1 years. i.e. Rs.
  
  (X*12*1)/100.
  
  So The total interest he has to pay is Rs. ((1092*12*3)/100) - [
  
  ((X*12*2)/100) + ((X*12*1)/100) ].
  
  So, The total amount he has to pay is Rs. 1092 + Rs.((1092*12*3)/100) -
  
  [ ((X*12*2)/100) + ((X*12*1)/100) ].
  
  The total amount he paid = 3X. ( because he paid Rs.X for three times)
  
  1092 + ((1092*12*3)/100) - [ ((X*12*2)/100) + ((X*12*1)/100) ] = 3X
  
  
  BY solving, we will get X = 442.
  
• 12 years agoHelpfull: Yes(17) No(6)
• Annual installment = Rs.325
  
  Each installment = X rupees
  
  Therefore,
  --> (X + (X * 12 *1)/100) + (X + (X * 12 *2)/100) + X = 1092
  --> (28X/25) + (31X/25) + X = 1092
  --> (28X +31X + 25X) = (1092 * 25)
  --> 84x = 1092 * 25
  So, X = (1092*25)/84
  X = 27300/84
  X = 325 rupees
• 12 years agoHelpfull: Yes(12) No(18)
• this question is 4m rs agarwal check out crct ans is 325 rs
• 11 years agoHelpfull: Yes(6) No(2)
• The annual payment taht will discharge a debt of Rs. A due in t years at the rate of interest r% per annum is given by
  Annual payment=100A / {100t+rt(t-1)/2}
  putting the values in the formula ,the answer is 3397.34 Rs.
• 12 years agoHelpfull: Yes(2) No(10)
• Shortcut Method :
  
  Formula: M=n*x(1+r(n-1)/200)
  
  here M= Borrowed Amount ; n = No.of Installments ; x = each annual installment amount
  and r= rate % per year.
  
  Given that M=1092 ; n=3 ; r=12% and we need to find-out annual installment x= ?
  
  1092 = 3x*(1+12(2)/100)
  1092 = 3x*(1+24/100)
  1092 = 3x*(124/200)
  By solving we will get x value 325
  :: the annual installment x =Rs.325/-
• 8 years agoHelpfull: Yes(1) No(1)
• Let the installment be Rs. X
  
  T=3 year
  
  Add each installement with interest
  
  (x+((x*12*1)/100) ) + (x+((x*12*1)/100) ) + (x+((x*12*1)/100) ) =1092
  
  ^ ^ ^
  1st year + 2nd year + 3rd year + 1092 (total ammount)
  
  I think
  
  This is X =325
• 6 years agoHelpfull: Yes(1) No(0)
• 1092*36%=393.12
• 7 years agoHelpfull: Yes(0) No(0)