i want to get the solution of following numerical.

"It is planned to construct a building on a cohesionless sand deposit (fines < 5 percent).

There is a nearby major active fault, and the engineering geologist has determined that for

the anticipated earthquake, the peak ground acceleration amax will be equal to 0.45 g. At this

location, ground surface is level, water table is 1.5 m below ground surface, total unit weight

of soil above water table is 18.9 kN/m3 and submerged unit weight of soil below water table

is 9.84 kN/m3. (N1)60 corresponding to 3m depth is 7.7. Assuming an anticipated earthquake

magnitude of 7.5, calculate the factor of safety against liquefaction for the saturated clean

sand at a depth of 3m below ground surface."

using above data, Assuming amax/g = 0.1 and the sand contains 15 percent non plastic fines.