In a system of units, the units of mass, length and time are 1 quintal . . .

Question : In a system of units, the units of mass, length and time are 1 quintal, 1 km and 1 hour respectively. In this system 1 N force will be equal to 

a) 1 New Units

b) 129.6 New Units

c) 125.7 New Units

d) 10^3 New Units

Doubt by Saniya 

Solution : 

Dimensional Formula of Force = [MLT^-2]
a=1, b=1, c=-2

Here

n₁ = 1

M₁ = 1 kg

L₁ = 1 m

T₁ = 1 sec

n₂=?

M₂ = 1 quintal = 100 kg

L₂ = 1 km = 1000 m

T₂ = 1 hour = 3600 sec

n₂=n₁[M₁/M₂]^a[L₁/L₂]^b[T₁/T₂]^c

n₂=1[1/100]1[1/1000]1[1/3600]^-2

n₂=(1/100)(1/1000)(3600)²

n₂=(1/100000)(3600)²

n₂=(12960000/100000)

n₂=129.6

So, 1 N  = 129.6 New Units

Hence, b) 129.6 is correct.