Solved UPSC CDS/OTA Question
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Q · Mixture and AlligationMedium · 45s
The price of a table and a chair is Rs. 3000. The table was sold at a 20% profit and the chair at a 10% loss. If in the transaction a man gains Rs. 300, how much is the cost price (in Rs.) of the table?
TopicMixture and Alligation
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained - no skipped algebra.
Let table's cost price = x, so chair = 3000 − x
Profit:
Table: 20% → Selling price = 1.2x
Chair: 10% loss → Selling price = 0.9(3000 − x)
Total profit = ₹300
Equation:
1.2x + 0.9(3000 − x) = 3300
→ 0.3x = 600
→ x = 2000
Table’s cost price = ₹2000
Final Answer: Option C - 2000