Question
The difference between a discount of 30% on Rs. 2000 and two successive discounts of 25% and 5% on the same amount is ?
Answer: Option C
1st discount = 30%
Two successive discount to a single discount
$$\eqalign{
& = 25 + 5 - \frac{{25 \times 5}}{{100}} \cr
& = 30 - 1.25 \cr
& {\text{Difference}}\% {\text{ }} \cr
& = {\text{ }}30 - 30 + 1.25 \cr
& = {\text{ }}1.25\% \cr
& {\text{Difference amount}} \cr
& = 1.25\% \,{\text{of }}2000 \cr
& = \frac{{1.25}}{{100}} \times 2000 \cr
& = {\text{Rs}}{\text{. }}25 \cr} $$
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1st discount = 30%
Two successive discount to a single discount
$$\eqalign{
& = 25 + 5 - \frac{{25 \times 5}}{{100}} \cr
& = 30 - 1.25 \cr
& {\text{Difference}}\% {\text{ }} \cr
& = {\text{ }}30 - 30 + 1.25 \cr
& = {\text{ }}1.25\% \cr
& {\text{Difference amount}} \cr
& = 1.25\% \,{\text{of }}2000 \cr
& = \frac{{1.25}}{{100}} \times 2000 \cr
& = {\text{Rs}}{\text{. }}25 \cr} $$
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