Q64
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
AnswerC.
30,000
D.
32,000
E.
None of these
Answer: Option B
Solution
Answer: Option B
Solution:
| 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