Anushka and Aarush are friends they have equal amount of money in their pockets Anushka give 1 /3 of money to Aarushi as a birthday gift then Aarushi give a party at the restaurant and cleared the bill by paying half of the total money with their. if their remaining money in the Aarush's pocket is 1600 ,then find the sum gifted by Anushka
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Step-by-step explanation:
Let the money in their pockets be Rs. x
Anushka gave 1/3 of Rs.x to Aarushi
Money now with Aarushi = x + x/3 = Rs. 4x/3
Aarushi paid half of what she had to the restaurant. That is half of Rs. 4x/3 = Rs. 2x/3
Money left with Aarushi = Rs. 1600 = Rs. 2x/3
2x/3 = 1600
2x = 4800
x = Rs. 2400
Sum gifted by Anushka = x/3 = Rs. 800
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