Rational Numbers | Rational Numbers Exercise 1.6

Question

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?

Accepted Answer

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

Question 16