In a new system of units, the unit of force is $\text{100 N}$, unit of length is $\text{10 m}$ and unit of time is $\text{100 s}$. Unit of mass in this system can be expressed as

Here, force (F) = [MLT^–2] = 100 N             ...(i)

Length (L) = [L] = 10 m             ...(ii)

Time (t) = [T] = 100 s             ...(iii)

Substituting values of L and T from Equations. (ii) and (iii) in Equation. (i), we get

                   M × 10 × (100)^–2 = 100

or                   $\frac{M\times 10}{100\times 100}=100$

or                   M = 100 × 1000 kg

                   $\text{M}={10}^{\mathrm{5 }}\text{kg}$