Anushka and Aarushi are friends. They have 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.

Let Anushka and Aarushi have equal amount of money in

their pocket, which is Rs.

After giving of the money of Anushka to Aarushi

Amount of Aarushi

According to the question

⇒

⇒

(By taking common)

(taking L.C.M. and solving on left)

(multiply by 6 on both the sides)

4x = 9600

x = 2400

(divide by 4 on both the sides)

∴The equal amount of money in Anushka and Aarushi pocket is Rs.2400

Money gifted by Anushka = □(1/3 of 2400)

= □(1/3 × 2400)

Hence money gifted by Anushka = Rs.800