Question
The single discount equivalent to the discount series of 20%, 10% and 5% is = ?
Answer: Option B
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%
$$\eqalign{
& = 28 + 5 - \frac{{28 \times 5}}{{100}} \cr
& = 33 - 1.4 \cr
& = 31.6\% \cr} $$
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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%
$$\eqalign{
& = 28 + 5 - \frac{{28 \times 5}}{{100}} \cr
& = 33 - 1.4 \cr
& = 31.6\% \cr} $$
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