A man loses 20% of his money. After spending 25% of the remainder, he has Rs.480 left. How much money did he originally have? step by step
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Let a man have Rs.x.
Remainder money, after losses 20% of his money
= x−20% of x=x−x×20/10=5x−x/5=4x/5
Remainder money, after spending 25% of his
remainder money = 4x/5−25% of (4x/5)
= 4x/5−(4x/5×25/100)
= 4x/5−x/5=4x−x/5=3x/5
According to the question,
3x/5=480
= x=480×5/3 = Rs.800.
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