Task 3. From a certain amount, first $5\%$ is deducted for expenses, then 90 denars for common needs, and the remainder is divided equally among three people. What is the total amount if each person received 160 denars?
Solution. Each person received 160 denari, so before the division, there was $160 \cdot 3=480$ denari. If 90 denari are added to this amount, the total sum is 570 denari. Since $5\%$ was deducted from the entire sum, it follows that 570 is 95% of the entire sum. Therefore, the initial amount is 570 * 100:95=600 denari.