# 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 |

Thus, Total mangoes rotten amount is

⇒ 0.05x + 0.0225x + 0.010125x = 0.082625x = 1983

x = 24,000

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