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?

Q: Answer-A shopkeeper sells apples. He sells x% of the stock each day and x/5% of the remaining apples gets s...

Let, the initial stock of the apples a units Since x is an integer, so, x 50 Therefore, we can now say that he sells 50 of apples each day and 10 of the remaining apples gets spoiled overnight. So, according to the question, we can make the following table Total number of apples that gets spoiled 0.05a 0.0225a 290 0.0725a 290 a 4,000 Hence, option b is the correct answer.