Final answer:
To find the marked price of the mobile, we set up equations based on the cost price (CP), the increase to the marked price (MP), and the selling price (SP) after a discount. Solving the equations gives us the marked price as Rs. 1200, which corresponds to option (d).
Step-by-step explanation:
The question asks us to calculate the marked price of a mobile that is priced 40% above the cost price and then sold at a 30% discount, resulting in a loss of Rs. 240. To find the marked price, we need to set up equations based on the given percentages and the loss incurred.
Let's denote the cost price as CP. Then, the marked price (MP) will be 1.40 times the CP, i.e., MP = 1.40 * CP. When the mobile is sold at a 30% discount, the selling price (SP) becomes 0.70 times the MP, which means SP = 0.70 * MP. We are given that selling the mobile at this discounted price results in a loss of Rs. 240. This means SP = CP - 240.
Combining these equations, we get 0.70 * (1.40 * CP) = CP - 240. Solving for CP gives us the cost price, which can then be used to find the marked price. After solving, the MP is determined to be Rs. 1200. Therefore, the correct option is (d) Rs. 1200.