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Question

A boys spends 34 of his pocket money and then 4 by 5 of the reminder is given to his  sister if he has rupees 40 left, what did you have at first?


Solution

Let the pocket money be =x
x3x4 is amount remaining with him after spending money. 
x3x4=4x3x4
x3x4=x4 
Now, he gave 45 of remaining amount to his sister. 
then the remaining amount is x445×x4
=x4x5
=5x4x20
=x20
According to given question remaining amount is 40
Thus, x20=40
x=40×20
x=800
His pocket money is 800

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