The correct answer is C. Rs. 87.
Let $x$ be the net profits remaining after charging the Works Manager’s commission. The Works Manager is entitled to 5% commission on this amount, so the Works Manager’s commission is $0.05x$. The General Manager gets 10% commission on the net profits remaining after charging his commission and the Works Manager’s commission, so the General Manager’s commission is $0.1(1000-x-0.05x) = 0.095x$.
We are given that the net profits before charging any commission is Rs. 1,000, so $x+0.05x+0.095x = 1000$. Solving for $x$, we get $x = 875$. Therefore, the General Manager’s commission is $0.095(875) = Rs. 87$.
Option A is incorrect because it is the Works Manager’s commission. Option B is incorrect because it is the total commission of the Works Manager and the General Manager. Option D is incorrect because it is the General Manager’s commission if the net profits remaining after charging his commission is Rs. 100.