A person weighs 80 kg. To lose weight, he started going for regular morning walks. He decided that at the beginning of each year, he would reduce his weight by 5% of whatever it was at that time. What will his weight be after 3 years?

Q.A person weighs 80 kg. To lose weight, he started going for regular morning walks. He decided that at the beginning of each year, he would reduce his weight by 5% of whatever it was at that time. What will his weight be after 3 years?

If the weight decreases by 10% each year compared to the previous year, then after 3 years the person's weight will be: \[ = 80 \times \left(1 - \frac{10}{100}\right)^3 \text{ kg} = 80 \times \left(\frac{90}{100}\right)^3 \text{ kg} = 80 \times \left(\frac{9}{10}\right)^3 \text{ kg} = 80 \times \frac{9}{10} \times \frac{9}{10} \times \frac{9}{10} \text{ kg} = 58.32 \text{ kg} \] ∴ After 3 years, the person’s weight will be 58.32 kg.