Exams › SSC CGL (Prelims) › General

If p : q = r : s, which of the following ratios is necessarily equal to p : r?

1. p : s
2. q : s
3. p + s : q + s
4. p + q : r + s

Correct answer: p + q : r + s

Solution

Let p/q = r/s = k. Then p = kq and r = ks. So p/r = kq/(ks) = q/s. Now check (p+q)/(r+s) = (kq+q)/(ks+s) = q(k+1)/[s(k+1)] = q/s = p/r. Hence p:r = (p+q):(r+s).

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