Question :
Anushka and Aarushi are friends. They have equal amount of money in their pockets. Anushka gave
1/3 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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Let the money in each of their pockets initially be 3x
So money given by Anushka to Arushi as her birthday gift = 3x(1/3) = x
Money with Arushi after this gift = 3x + x = 4x
Money Arushi spent on her birthday party = 1/2 of money she had = 1/2 of 4x = 2x
Money remaining with Arushi now = 4x - 2x = 2x
2x = 1600
x = 800
So, money gifted by Anushka = x = 800 rs
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