Successive discounts of 20% and 15% are equal to a single discount of ---

A 30%
B 32%
C 34%
D 35%

Correct Answer: 32%

<math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup><mo> + </mo><msup><mi>b</mi><mn>2</mn></msup><mo> = </mo><mn>10</mn><mo>;</mo><msup><mi>a</mi><mn>2</mn></msup><mo> - </mo><msup><mi>b</mi><mn>2</mn></msup><mo> = </mo><mn>8</mn></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>a</mi><mn>2</mn></msup></math> = 18;<math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>a</mi><mn>2</mn></msup></math> = 9 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</mo></math> a = 32<math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>b</mi><mn>2</mn></msup></math> = 2;b = 1<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> ab = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>&#xD7;</mo><mn>1</mn></math> = 3
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