A man donated 1 / 10 of his money to a school, 1 / 6 th of the remaining to a
church, and the remaining money he distributed equally among his three children. If
each child gets Rs 50000, how much money did the man originally have?
Let the money of a man be 1
Money donated to a school = 1 / 10
Remaining money = 1 – (1 / 10)
= 9 / 10
Money donated to a church = 1 / 6 of 9 / 10
= 3 / 20
Hence, remaining money = (9 / 10) – (3 / 20)
= (18 – 3) / 20
= 15 / 20
A man divides equally to his three children
Hence,
Share of each child = (15 / 20) ÷ 3
= (15 / 20) × (1 / 3)
= 1 / 4
Here, each child gets Rs 50000
Therefore, his total money = Rs 50000 × (4 / 1)
= Rs 200000
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