A retailer gives two successive discounts of 3y% and 15% on an item, resulting in a single equivalent discount of 28%. What is the value of y? (Rounded off to the nearest integer)
5
For two successive discounts a% and b%, the single equivalent discount is \(a + b - \frac{ab}{100}\).
With a = 3y and b = 15: \(3y + 15 - \frac{3y \times 15}{100} = 28\).
Simplify: \(3y - 0.45y = 28 - 15 \Rightarrow 2.55y = 13\).
\(y = \frac{13}{2.55} \approx 5.10\), which rounds to 5.
Hence, the answer is 5.
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