Anushka and Aarushi are friends. They have an equal amount of money in their pockets. Anushka gave of her money to Aarushi as her birthday gift. Then Aarushi gave a party at a restaurant and cleared the bill by paying half of the total money with her. If the remaining money in Aarushi's pocket is Rs.1600, find the sum gifted by Anushka.

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Rs.500

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Detailed Solution

Concept-
Let's say that Anushka and Arushi have Rs. X in their pockets at this time. After that, we will enforce the requirement that Anushka give Aarushi a thirteenth of her money. We will now divide Arushi's money in half, which equals Rs. 1600.
Let's assume that Aarushi and Anushka each have Rs. x in their pockets.
Amount with Aarushi after Anushka gives her a

of the cash
Aarushi and the amount =

According to the inquiry, Aarushi hosted a party at a restaurant and paid the bill in full by bringing half of the cash with her. There is Rs. 1600 left in Aarushi's pocket.