2 chairs and 3 tables cost Rs. 1300, while 3 chairs and 2 tables cost Rs. 1200. By how much does each table exceed each chair in price__________?
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Answer: E. None of these
Explanation
Summing the two cost equations together reveals that the combined price of one chair and one table equals five hundred. Subtracting the equations yields the exact price difference of one hundred between a table and a chair. Since the price difference of one hundred is not listed among options A through D, the correct choice is E. Simultaneous linear equations allow solving for multiple unknown variables using given combined cost data. Elimination methods simplify paired equations by adding or subtracting them to isolate specific variables. Multiple choice questions include a none of the above option when standard answers are absent.
Retail pricing analysis uses simultaneous equations to determine individual component costs from bundled items. Business accounting relies on linear modeling to allocate joint production costs across different product lines. Algebraic problem solving tests analytical reasoning by requiring careful verification of all given options. Option A is incorrect because the calculated price difference between the items is one hundred. Option B incorrectly estimates the price variance between tables and chairs. Option C underestimates the actual price difference derived from the simultaneous equations.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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