Question

I had some money in my pocket I give 1/4th to my friend I spend one fourth of the Starting amount and loss rupees 50 now I am left with rupees 10 how much money did I have initially​

Answer 1

Given :

The amount of money given to friend = $\dfrac{1}{4}$ th of total

The amount of money spend = $\dfrac{1}{4}$ th of  total

The amount of money that was lost = Rs 50

The amount of money left  = Rs 10

To Find :

The initial amount of money that he have

Solution :

Let The initial amount of = Rs x

The amount of money given to friend = $\dfrac{1}{4}$ th of total

                                                             = $\dfrac{1}{4}$  × x = Rs $\dfrac{x}{4}$

The amount of money spend = $\dfrac{1}{4}$ th of  total

                                                =  $\dfrac{1}{4}$  × x = Rs $\dfrac{x}{4}$

So,  The amount of money left =  initial amount of money - ( amount of money given to friend + amount of money spend + amount of money that was lost )

Or,  10 = x - ( $\dfrac{x}{4}$  +  $\dfrac{x}{4}$  + 50 )

Or,  10 = x -  $\dfrac{x}{2}$  - 50

Or,  $\dfrac{2x - x}{2}$ = 10 + 50

Or,   $\dfrac{x}{2}$  = Rs 60

∴   x = 2 × Rs 60

i.e  x = Rs 120

Hence, The initial amount of money that he had is Rs 120  Answer