If ‘a’ exceeds ‘b’ by y%, then which of the following is correct?

| If ‘a’ exceeds ‘b’ by y%, then which of the following is correct?

A. \(\left( {a - b} \right) = \frac{y}{{100}}\)

B. \(b = a + 100y\)

C. \(a = \frac{{by}}{{\left( {100 + y} \right)}}\)

D. \(a = b\left( {1 + \frac{y}{{100}}} \right)\)

Please scroll down to see the correct answer and solution guide.

Given, ‘a’ exceeds ‘b’ by y%.

∴ a = b + y% of b

\(\Rightarrow a = b + \frac{y}{{100}} \times b\)

⇒ a = b(1 + y/100)