Question

A person gave 20% of his total amount to his son. Of the remainder, he gave 50% to his
wife and 30% of the remainder to each of three daughters. The remaining amount of 3,416
was donated to a charity trust. Find the total amount and share each one got.​

Answer 1

Answer:

Let income be x.

Money given to elder son = s1 = 0.2x

Thus Balance = b1 = x - 0.2x = 0.8x

Money given to younger son = s2 = 0.3b1 = 0.3 * 0.8x = 0.24x

Thus Balance = b2 = 0.8x - 0.24x = 0.56x

Money donated to trust = 0.1b2 = 0.1 * 0.56x = 0.056x

Thus Balance = b3 = 0.56x - 0.056x = 0.504x = 10080

Thus 0.504 x = 10080

Thus x = 10080÷0.504

Thus x = 20,000 = Income