SSC MTS 2020 · PYQ · Ratio and Proportion · medium
In an examination, the ratio of the number of candidates who passed to those who failed was 5:2. If the number of failed candidates had been 14 more, then the ratio of the number of passed candidates to those who failed would have been 4:3. The number of candidates who appeared in the examination was:
A.98✓ Correct
B.70
C.100
D.126
Explanation
Let passed = 5x and failed = 2x. With 14 more failures: 5x/(2x+14) = 4/3 → 15x = 8x+56 → 7x = 56 — wait, solving: 15x = 8x+56 gives 7x=56, x=8, total = 7×14 = 98.
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