1974 AHSME 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 \qquad \mathrm{(B) \ }80200 \qquad \mathrm{(C) \ } 80400 \qquad \mathrm{(D) \ } 80600 \qquad \mathrm{(E) \ }80800

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.