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 =xx−3x4 is amount remaining with him after spending money. x−3x4=4x−3x4⇒x−3x4=x4 Now, he gave 45 of remaining amount to his sister. then the remaining amount is x4−45×x4=x4−x5=5x−4x20=x20According to given question remaining amount is 40Thus, x20=40⇒x=40×20∴x=800His pocket money is 800

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