Final answer:
The cost price of the picture Amalbabu bought is Rs 800, calculated by equating its selling prices at a 20% loss and a 5% profit with an addition of Rs 200.
Step-by-step explanation:
Calculating Cost Price:
We are asked to calculate the cost price of a picture sold by Amalbabu. First, we'll denote the cost price as 'C'. The first scenario gives us that selling the picture at a 20% loss implies a selling price of 0.8C. In the second scenario, selling it at a 5% profit (considering the additional Rs 200) means a selling price of 1.05C.
Setting up an equation using the two scenarios: Explanation: To solve the problem, we can start by assuming the cost price of the picture as 'x'. Amalbabu sold the picture at a 20% profit, so the selling price would be 120% of the cost price: 1.2x. If he sold it for Rs 200 more, the new selling price would be 1.2x + 200. We are given that this new selling price is a 5% profit, so we can set up the equation 1.05C = 0.8C + 200 Now we solve for C: Subtract 0.8C from both sides of the equation: 0.25C = 200Divide both sides by 0.25 to isolate C: C = 200 / 0.25 C = 800 Therefore, the cost price of the picture is Rs 800.