Question

Anushka and Khushi are friends they have equal amount of money in their pockets Anushka give one third of her money to khushi as a birthday gift . then Aarushi gave a party at a restaurant and cleared the bill paying half of total money with her . if the remaining money in her pocker is rupees 1600 find the sum gifted by Anushka to khushi

Answer 1

$\huge{\bold{Hey}}$
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$\large{\bold{\green{Solution:}}}$

$\textit{Let the money in their pockets be}$$\underline{3x}$

So,

$\textit{\underline{Money given by Anushka to Khushi as her birthday gift:}}$

⇒ $\large{\bold{3x (\frac{1}{3} ) = x}}$

.

.

$\textit{\underline{Money with Khushi after this gift:}}$

⇒ $\large{\bold{3x + x = 4x}}$

.

.

$\textit{\underline{Money that Khushi spent on her birthday:}}$

⇒ $\large{\bold{\frac{1}{2 } \: of \: 4x = 2x}}$

.

.

$\textit{\underline{Now, money remaining with Khushi:}}$

= > $\large{\bold{- 2x = 2x}}$

= > $\large{\bold{2x = 1600}}$

$\large{\bold{\fbox{x = 800}}}$

.

.

$\textbf{Therefore, money gifted by Anushka}$$\bold{x = 800 \: Rs.}$