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Percentage (RRB)

Percentage-fraction conversions, successive %, application problems.

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Percentage (RRB) — Core

Percentage-fraction conversions, successive %, application problems.

Percentage — RRB-style problems
Notes

Quick conversions (memorize):

1/2 = 50%; 1/3 = 33.33%; 1/4 = 25%; 1/5 = 20%; 1/6 = 16.67%; 1/7 = 14.28%; 1/8 = 12.5%; 1/9 = 11.11%; 1/10 = 10%; 1/11 = 9.09%; 1/12 = 8.33%.

Successive %: a + b + ab/100 (signed).

Common RRB problems:

  1. Successive change: "price up X% then down Y%, net %?"
  2. Election: "winner got X%; won by Y votes. Total votes?"
  3. Salary: "X% increase then Y% decrease; net?"
  4. Population growth: P × (1 + r/100)^n.
  5. Exam marks: "needs X% to pass; got Y; failed/passed by Z marks."

Tip: Try fraction form first (faster). 25% = 1/4 → divide by 4.