Simple interest

Question

A and B borrowed an equal sum of money from a money lender at 8% and 5.5% p.a. respectively. if to clear the debt after 4 year A paid Rs. 550 more than B the total sum of money taken by them was?

Answer 1

problem:

inta=dol*1.08*4 yeers=4.32dol

intb=dol*1.055*4=4.22dol

inta -intb=550$=(4.32-4.22)dol

dol=550$/0.10

=5500$

Answer 2

Let Principal Borrowed by A and B = x

Formula for S.I = (P*T*R) /100                             [ let total amount paid by B=y

                                                                               Therefore, Money paid by A=550+y]

Amount = P+SI

Solution for A

                 SI = (x*8*4)/100                      

                 Amount = P+SI

                 550+y = x+32x /100 --------------------(i)

Solution for B

                Amount =P+SI

                y = x + 22x /100 -----------------------(ii)          

 Substituting the value of y in equation (i)

550 + x +22x/100  = x + 32x /100

                          550 = 10x/100

                              x = $ 5500-----------[Answer]