Question
If on a market price the difference of selling price with a discount of 30% and two successive discounts of 20% and 10% is 72, then the marked price ( in rupees ) is ?
Answer: Option A
Let the marked price = Rs. x
Single Discount = 30%
Two successive discount is equivalent
$$\eqalign{
&{\text{= }}\left( {20 + 10 - \frac{{20 \times 10}}{{100}}} \right)\% \cr
& = \left( {30 - 2} \right)\% \cr
& = 28\% \cr} $$
Difference = 2%
According to the question,
$$\eqalign{
& \Rightarrow {\text{2}}\% {\text{ of }}x{\text{ = 72}} \cr
& \Rightarrow \frac{2}{{100}} \times x = 72 \cr
& \Rightarrow x = \frac{{72 \times 100}}{2} \cr
& \Rightarrow x = {\text{Rs}}{\text{. 3600}} \cr} $$
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Let the marked price = Rs. x
Single Discount = 30%
Two successive discount is equivalent
$$\eqalign{
&{\text{= }}\left( {20 + 10 - \frac{{20 \times 10}}{{100}}} \right)\% \cr
& = \left( {30 - 2} \right)\% \cr
& = 28\% \cr} $$
Difference = 2%
According to the question,
$$\eqalign{
& \Rightarrow {\text{2}}\% {\text{ of }}x{\text{ = 72}} \cr
& \Rightarrow \frac{2}{{100}} \times x = 72 \cr
& \Rightarrow x = \frac{{72 \times 100}}{2} \cr
& \Rightarrow x = {\text{Rs}}{\text{. 3600}} \cr} $$
Was this answer helpful ?
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