A certain quantity is measured on two different scales, the $R$-scale, and the $S$-scale, which are related linearly

A certain quantity is measured on two different scales, the $R$-scale, and the $S$-scale, which are related linearly. Measurements on the $R$-scale of $6$ and $24$ correspond to measurements on the $S$-scale of $30$ and $60,$ respectively. What measurement on the $R$-scale corresponds to a measurement of $100$ on the $S$-scale?

(A) 20
(B) 36
(C) 48
(D) 60
(E) 84

Answer: C

Source: GMAT Prep

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