A person with some money spends 1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel. He is left with Rs 100/- How much did he have with him in the begining?

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A person with some money spends 1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel. He is left with Rs 100/- How much did he have with him in the begining?

Rs. 250/-
Assume that initially he had Rs. X
He spent 1/3 for cloths =. (1/3) * X
Remaining money = (2/3) * X
He spent 1/5 of remaining money for food = (1/5) * (2/3) *
X = (2/15) * X
Remaining money = (2/3) * X – (2/15) * X = (8/15) * X
Again, he spent 1/4 of remaining maoney for travel = (1/4)
* (8/15) * X = (2/15) * X
Remaining money = (8/15) * X – (2/15) * X = (6/15) * X
But after spending for travel he is left with Rs. 100/- So
(6/15) * X = 100
X = 250

ans: 250 rs exactly

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