Question

What is a single discount equivalent to a series discount of $20\%,10\%$ and $5\%$?

• A. $81\%$
• B. $31.4\%$
• C. $31.6\%$
• D. None of these

Answer 1

The correct option is C $31.6\%$

Let the M.P is Rs. $100$

Then, S.P. $=[100-20\%]$ of $[100-10\%]$ of $[100-5\%]$ of $100$

$\Rightarrow 80\%$ of $90\%$ of $95\%$ of $100$

$\Rightarrow \frac{80}{100}\times \frac{90}{100}\times \frac{95}{100}\times 100$

$\Rightarrow 68.40$

Required Discount$=100-68.40=31.6$.