AHSME 1974 Problem 29

For $p=1, 2, \cdots, 10$ let $S_p$ be the sum of the first $40$ terms of the arithmetic progression whose first term is $p$ and whose common difference is $2p-1$; then $S_1+S_2+\cdots+S_{10}$ is $\mathrm{(A)\ } 80000 \mathrm{(B) \ }80200 \mathrm{(C) \ } 80400 \mathrm{(D) \ } 80600 \mathrm{(E) \ }80800$