# how much money did he have in the beginning?

A man gives 50% of his money to his son and 30% to his daughter. 80% of the rest is donated to a trust. If he is left with Rs.16,000 now, how much money did he have in the beginning

- Rs.8,00,000
- Rs.80,000
- Rs.4,00,000
- Rs.40,000

**Answer is Rs.4,00,000**

**Explanation:-**

Let the has a man be Rs. X

He gives 50% of his money to his son and 30% to his daughter.

Then, rest money = X – X x 50/100 – X x 30/100

= X – 5 X/10 – 3 X/10

= X – 8 X/10

= X/5

80% of the rest is denoted to a trust. If he is left with Rs. 16, 000 now,

X /5 – X x 80/5 x 100 = 16, 000

X/5 – 4 X/5 x 5 = 16, 000

(5 X – 4 X)/25 = 16, 000

X = 16, 000 x 25

X = 4, 00, 000

Then, he have Rs. 4, 00, 000 money in the beginning.

Hence, the correct answer is option (3) Rs. 4, 00, 000.