1. **Stating the problem:** A person starts with an initial amount of money. 25% is stolen, 10% of the remainder is lost, then 50% of the new remainder is spent on food, and finally, he buys a book worth 26 from the remaining money. After this, he has no money left. We need to find the initial amount. 2. **Define the initial amount:** Let the initial amount be $x$. 3. **Calculate after theft:** 25% stolen means 75% remains. $$\text{Amount after theft} = 0.75x$$ 4. **Calculate after loss through hole:** 10% of the remainder is lost, so 90% remains. $$\text{Amount after loss} = 0.9 \times 0.75x = 0.675x$$ 5. **Calculate after spending on food:** 50% of the remainder is spent, so 50% remains. $$\text{Amount after food} = 0.5 \times 0.675x = 0.3375x$$ 6. **Calculate after buying the book:** He spends 26 on the book and then has no money left. $$0.3375x - 26 = 0$$ 7. **Solve for $x$:** $$0.3375x = 26$$ $$x = \frac{26}{0.3375}$$ $$x = 77.037...$$ 8. **Final answer:** The initial amount was approximately $77.04$.