Clarification reqd- interpolation in sfm

CA girl (Article Trainee-CA Final)   (1942 Points)

02 June 2017  

Hi All,   In page number B.7 in supplementary study material of CA Final SFM, In problem number 51 from Chapter 6, How are the two rates 7.5% and 9% for interpolation is arrived at after the below equation:                                        7*PVIFA(YTM,10) + 100*PVIF(YTM,10)=90