Question

A discount series of \(10\%\), \(20\%\) and \(40\%\) is equal to a single discount of:

• A. \(50.00\%\)
• B. \(56.80\%\)
• C. \(70.00\%\)
• D. \(70.28\%\)

Answer 1

The Correct Option is B

Series of discounts of\(10\%, 20\% and 40\%\)
Let the original number be 100.
After applying a series of discount
\(100(1-10\%) (1-20\%)(1-40\%)\)
\(\frac{90}{100}\times\frac{80}{100}\times\frac{60}{100}\times100\)
\(43.2\%\)
The required discount =\(100-43.2\)
Discount =\(56.80%\)
\(56.80\%\)is a single discount of this series.
The correct answer is (B):\(56.80\%\)