Question

anushka and arushi are friends. they have equal amount of money. anushka gives arushi 1/3 as a gift. then arushi spends half of her total money, if the money arushi has left is 1600 then whats the amount gifted to arushi. give answer with steps

Answer 1

Answer: Rs. 3200

Step-by-step explanation:

Let's assume the amount of money they both had before Anushka gives Arushi a gift as "M".

After Anushka gives Arushi 1/3 of her money, Arushi has 1/3 of Anushka's money, which is (1/3)×M.

Then, Arushi spends half of her total money, which means she spends (1/2)×[(1/3)×M] = (1/6)×M.

So now Arushi has (1/3)×M - (1/6)×M = (1/6)×M left.

According to the problem statement, (1/6)×M is equal to 1600. So we can set up an equation:

(1/6)×M = 1600

Multiplying both sides by 6, we get:

M = 9600

So the total amount of money they both had initially was Rs. 9600.

We know that Anushka gave 1/3 of this money to Arushi, which is:

(1/3)×9600 = 3200

Therefore, the amount gifted to Arushi was Rs. 3200.