Mass of a body is m on the surface of earth. What will be its weight on surface of earth and at height h = R/100 above the surface of earth.

Therefore, the weight of the body on the surface is W = m · g

Now we know that there is a loss in weight of the body at height h as the acceleration due to gravity decreases with height above the surface of earth.

Loss in weight = ^2mgh/_R

⇒ Loss in weight = ^2mgh/_R = ^{2m g (R/100)}/_R = m g / 50

So, weight at given height = m g − (m g / 50) = ⁴⁹/₅₀ m g

∴ Weight at height h = ⁴⁹/₅₀ m g