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ML Aggarwal Solutions Class 8 Mathematics Solutions for Rational Numbers Exercise 1.6 in Chapter 1 - Rational Numbers

Question 16 Rational Numbers Exercise 1.6

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?

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

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