Correct Option: B Let $CP$ represent the Cost Price, $MP$ the Marked Price, and $SP$ the Selling Price of the article. We are given two pieces of information: 1. A discount of $10\%$ is allowed on the marked price. This means $SP = MP - (10\% \text{ of } MP) = MP \times (1 - 0.10) = 0.90 \times MP$. So, $SP = 0.9 MP$ --- (Equation 1) 2. A profit of $20\%$ is made on the cost price. This means $SP = CP + (20\% \text{ of } CP) = CP \times (1 + 0.20) = 1.20 \times CP$. So, $SP = 1.2 CP$ --- (Equation 2) Now, we can equate the two expressions for $SP$ from Equation 1 and Equation 2: $0.9 MP = 1.2 CP$ To find the percentage above the cost price the article was marked, we need to express $MP$ in terms of $CP$. $MP = \frac{1.2}{0.9} CP$ $MP = \frac{12}{9} CP$ $MP = \frac{4}{3} CP$ This relationship indicates that the Marked Price is $\frac{4}{3}$ times the Cost Price. To find the percentage mark-up, we calculate $\left(\frac{MP - CP}{CP}\right) \times 100\%$. Percentage Mark-up $= \left(\frac{\frac{4}{3} CP - CP}{CP}\right) \times 100\%$ Percentage Mark-up $= \left(\frac{\left(\frac{4}{3} - 1\right) CP}{CP}\right) \times 100\%$ Percentage Mark-up $= \left(\frac{1}{3}\right) \times 100\%$ Percentage Mark-up $= 33\frac{1}{3}\%$ Alternatively, one could assume a $CP$ for easier calculation: Let $CP = ₹100$. Since a profit of $20\%$ is made, $SP = ₹100 + 20\% \text{ of } ₹100 = ₹100 + ₹20 = ₹120$. Now, the discount is $10\%$ on the marked price, so $SP = MP - 10\% \text{ of } MP = 0.90 MP$. $₹120 = 0.90 MP$ $MP = \frac{120}{0.90} = \frac{1200}{9} = \frac{400}{3} = ₹133.33 \text{ (approx.)}$ The percentage above cost price is $\left(\frac{MP - CP}{CP}\right) \times 100\% = \left(\frac{\frac{400}{3} - 100}{100}\right) \times 100\%$ $= \left(\frac{\frac{400 - 300}{3}}{100}\right) \times 100\% = \left(\frac{\frac{100}{3}}{100}\right) \times 100\% = \frac{1}{3} \times 100\% = 33\frac{1}{3}\%$. The final answer is $\boxed{33\frac{1}{3}\%}$