Multiple choice general knowledge math & puzzles

Some number of chocolates are gifted to four friends Kavya, Rupak, Saurabh & Indu.First Indu came & took 16 chocolates from the gift pack. Then Kavya came, she divided the rest into four equal parts & kept one part with her. Then Saurabh came, he again divided it into four parts & kept one part with him then Rupak came & he divided the rest into four equal parts & distributed it among his four friend(including him). Rupak got 9 chocolates. How many chocolates were there in total??

  1. 64

  2. 128

  3. 80

  4. 90

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Starting from the end and working backwards: Rupak got 9 chocolates, so before the final division there were 36 (9 × 4). Before Saurabh took his share: 36 ÷ 3 × 4 = 48. Before Kavya took her share: 48 ÷ 3 × 4 = 64. Before Indu took 16: 64 + 16 = 80. The key insight is that after each person's division, 3/4 remain for the next step, so we multiply by 4/3 working backwards.