One evening, before sunset two friends Rajni and Sanjiv were talking face to face.
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One evening, before sunset two friends Rajni and Sanjiv were talking face to face. If Sanjiv's shadow was exactly to his right side, to which direction was Rajni facing?
Show answer & explanation
The original mean is m, and adding the next six consecutive natural numbers increases the mean by 3. Therefore, the percentage increase is (3/m)×100 = 300/m%.
Step-by-step Derivation:
Step 1: Let the eleven consecutive natural numbers be n, n+1, ..., n+10.
Step 2: Their mean is the middle number, so m = n + 5.
Step 3: The next six consecutive natural numbers are n+11, n+12, ..., n+16.
Step 4: Including them gives 17 consecutive natural numbers from n to n+16.
Step 5: The new mean is the middle number of these 17 numbers, which is n + 8.
Step 6: Since m = n + 5, the new mean is m + 3.
Step 7: Percentage change = ((new mean - old mean) / old mean) × 100 = (3/m) × 100 = 300/m%.