Multiple choice general knowledge math & puzzles

A very rich lady goes with a bag of coins (not more than 400) to the city. In the city she meets four vagabonds. She gives the first vagabond 4 coins and a quarter of the number of coins which is left in the bag. She applies the same procedure to the second, third and fourth vagabond (so division by 4 worked always). With how many coins did she leave home?

  1. 255

  2. 300

  3. 244

  4. 260
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Working backwards: After 4th vagabond: 0 coins remain. Before 4th: 4 coins (since she gives 4 + 1/4 of remaining). This continues backwards to show she started with 244 coins. Each vagabond gets 4 coins plus a quarter of what remains after those 4.

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