The single discount equivalent to the discount series of 20%, 10% and 5% is = ?

A. 11.66%

B. 31.6%

C. 35.66Z%

D. 32%

Answer: Option B

Solution(By Examveda Team)

Single equivalent discount for 20% and 10%
$$\eqalign{ & = 20 + 10 - \frac{{20 \times 10}}{{100}} \cr & = 30 - 2 \cr & = 28\% \cr} $$
Single equivalent discount for 28% and 5%
$$\eqalign{ & = 28 + 5 - \frac{{28 \times 5}}{{100}} \cr & = 33 - 1.4 \cr & = 31.6\% \cr} $$