Every day a mango seller sells half his stock, 10% of the stock overnight gets spoiled. If 1983 mangoes rotted over 3 nights then how many did hi start with on the first day ?
A. 25,000
B. 24,000
C. 30,000
D. 32,000
E. None of these
Answer: Option B
Solution(By Examveda Team)
Day | 1 | 2 | 3 |
Initial mangoes | x (let) | 0.45x | 0.2025x |
Sales | 0.5x | 0.225x | 0.10125x |
Over night remaining | 0.5x | 0.225x | 0.10125x |
Rotten | 0.05x | 0.0225x | 0.010125x |
Next day stock | 0.45x | 0.2025x |
⇒ 0.05x + 0.0225x + 0.010125x = 0.082625x = 1983x = 24,000
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