Question
The difference between discount of 35% and two successive discount of 20% on a certain bill was 22, the amount of the bill is = ?
Answer: Option D
1st discount = 35%
Single equivalent discount of 20% each
$$\eqalign{
& = \left( {20 + 20 - \frac{{20 \times 20}}{{100}}} \right)\% \cr
& = {\text{ }}36\% {\text{ }} \cr
& {\text{Difference}} \cr
& = \left( {36\% - 35\% } \right) \cr
& = 1\% \cr} $$
Let the amount of the bill Rs. x
$$\eqalign{
& \therefore \frac{1}{{100}}x = 22 \cr
& x = {\text{Rs}}{\text{. }}2200 \cr} $$
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1st discount = 35%
Single equivalent discount of 20% each
$$\eqalign{
& = \left( {20 + 20 - \frac{{20 \times 20}}{{100}}} \right)\% \cr
& = {\text{ }}36\% {\text{ }} \cr
& {\text{Difference}} \cr
& = \left( {36\% - 35\% } \right) \cr
& = 1\% \cr} $$
Let the amount of the bill Rs. x
$$\eqalign{
& \therefore \frac{1}{{100}}x = 22 \cr
& x = {\text{Rs}}{\text{. }}2200 \cr} $$
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