Question 11
For the consumer, a single discount of $n\%$ is more advantageous than any of the following discounts:
$(1)$ Two successive $15\%$ discounts.
$(2)$ Three successive $10\%$ discounts.
$(3)$ A $25\%$ discount followed by a $5\%$ discount.
What is the smallest possible positive integer value of $n?$
$(1)$ Two successive $15\%$ discounts.
$(2)$ Three successive $10\%$ discounts.
$(3)$ A $25\%$ discount followed by a $5\%$ discount.
What is the smallest possible positive integer value of $n?$