The difference between the cost price and sale price of an article is ₹ 240. If the profit is $20\%$, the selling price is

### Concept & Profit Calculation The difference between the selling price (SP) and cost price (CP) of an article represents either the profit or the loss. Since there is a profit, this difference is the profit itself. $$ \text{Profit} = SP - CP $$ $$ \text{Profit} = \left(\frac{\text{Profit } \%}{100}\right) \times CP $$ ### Step-by-Step Solution * We are given the profit amount (difference between SP and CP) = ₹ 240. * We are given the profit percentage = $20\%$. * We know that profit is calculated on the Cost Price (CP). * So, $20\%$ of $CP = 240$. * $0.20 \times CP = 240$ * $CP = \frac{240}{0.20} = 1200$ * Now, we need to find the Selling Price (SP). * $SP = CP + \text{Profit}$ * $SP = 1200 + 240 = 1440$ * The calculated selling price is ₹ 1440, which is not present in options (a), (b), or (c). ### Exam Strategy & Shortcut Directly link percentage to the value: $20\% \equiv 240$. We need the selling price, which represents a $20\%$ profit, so it is $120\%$ of the cost price. If $20\% \rightarrow 240$, then multiplying both sides by 6 gives $120\% \rightarrow 240 \times 6 = 1440$. Since 1440 is not an option, select "None of these". ### Common Pitfall Calculating the $20\%$ based on the difference (240) instead of recognizing that 240 IS the $20\%$. Another mistake is finding the CP (1200) and incorrectly choosing an option close to it without adding the profit to find the SP. ### Final Answer Therefore, the correct answer is **None of these**.