Question

Reena went to shopping and spent half of what she had on buying fruits out of the money she was left with she gave 5 rupees to a beggar she spent one third of the remaining money on rickshaw fare when she reached home she found that she had exactly hundred rupees left how much money she initially had​

Answer 1

Answer:

Reena initially had ₹610.

Step-by-step explanation:

Let x be the total amount she had.

Money she spent on buying fruits = $\frac{x}{2}$

She had given the beggar ₹5

Money left with her after giving ₹5  = $\frac{x}{2}$ - 5

Money she spent for travelling = $\frac{1}{3}$ × ($\frac{x}{2}$ - 5)

                                                   = $\frac{x}{6}$ - $\frac{5}{3}$

                                                   = $\frac{x-10}{6}$

                                                   

It is given that she had ₹100 after reaching home.

∴ $\frac{x-10}{6}$ = 100

  $x$ - 10 = 100 x 6

  $x$ - 10 = 600

  $x$ = 610

∴She initially had ₹610.