Final answer:
The student is tasked with finding the individual selling prices of two articles sold together for Rs.460 with different profit margins. Using algebraic methods, the cost prices of the articles can be determined, after which the selling prices can be calculated accordingly.
Step-by-step explanation:
The question is about finding the individual selling prices of two articles given the total selling price and different profit percentages for each. The man sold two articles for Rs.460 making 10% profit on one and 20% profit on the other. If both articles were sold at 15% profit, the selling price would have been the same for each. To solve this question, we denote the cost prices of the two articles as x and y respectively. The selling prices are then 1.1x and 1.2y.
The sum of the selling prices is Rs.460, so:
If both had been sold at 15% profit, the total selling price would still be Rs.460, so:
Now we have two equations and can solve them simultaneously to find the values of x and y.