Vidyalelo
Aptitude · Q64

Percentage

Competitive Exams · Aptitude · question 64

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
Answer
C.
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