Question

A shopkeeper sells apples. He sells x% of the stock each day and x/5% of the remaining apples gets spoiled overnight, then he sells the remaining apples the next day. This cycle continues for 2 nights. The shopkeeper did not add up any new stock. If 290 apples gets spoiled over 2 nights, the find the number of apples shopkeeper has in stock on the start of the first day, if the value of x is the integral root of the equation 9x² – 418x – 1600 = 0?

A 4350
B 4000
C 3750
D 3950
E None of these
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