To solve this, we need to compare two scenarios involving discounts on the marked price of an item.

Scenario 1: A single discount of 15% on the marked price.

The formula to calculate the net price after a single discount is: \(\text{Net Price} = \text{Marked Price} \times \left(1 - \frac{\text{Discount \%}}{100}\right)\). Thus, in this scenario: \(\text{Net Price} = \text{Marked Price} \times \left(1 - \frac{15}{100}\right) = \text{Marked Price} \times 0.85\).

Scenario 2: A successive discount of 10% followed by 5%.

In successive discounts, each discount is applied on the price after the previous discount has been applied. Therefore, the formula for the net price after two successive discounts is: \(\text{Net Price} = \text{Marked Price} \times \left(1 - \frac{ \text{First Discount \%}}{100} \right) \times \left(1 - \frac{\text{Second Discount \%}}{100} \right)\). Thus, in this scenario: \(\text{Net Price} = \text{Marked Price} \times \left(1 - \frac{10}{100}\right) \times \left(1 - \frac{5}{100}\right) = \text{Marked Price} \times 0.9 \times 0.95 = \text{Marked Price} \times 0.855\).

By comparing the two scenarios: - Scenario 1 gives: \(\text{Net Price} = \text{Marked Price} \times 0.85\)- Scenario 2 gives: \(\text{Net Price} = \text{Marked Price} \times 0.855\)

Since \(0.85 < 0.855\), Scenario 1 results in a lower net price, meaning the discount in Scenario 1 is greater than in Scenario 2.

This confirms that the Assertion is true.

The Reason states that the subsequent discount is on the discounted amount, which is inherently true in the case of successive discounts. This explains why the second scenario results in a smaller total discount than the first. Therefore, the Reason supports the Assertion.

Conclusion: Both the assertion and the reason are individually true, and the reason is a correct explanation of the assertion.