Multiple choice

Sushma bought 6 tables and 12 chairs for Rs. 12,000. She sold the tables at a profit of 15% and the chairs at a loss of 10%. If her total gain was Rs. 300, then the total cost of the tables was

  1. Rs. 6,000

  2. Rs. 5,000

  3. Rs. 5,400

  4. Rs. 4,800
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let T be the cost of the tables and C be the cost of the chairs, so T + C = 12,000. The profit equation is 0.15T - 0.10C = 300. Solving these equations simultaneously gives the total cost of the tables as Rs. 6,000.

AI explanation

Let the total cost of tables be x and the cost of chairs be 12000 - x. The overall profit is Rs 300, which is 2.5% of the total cost of Rs 12000. Equate the profit equation: 0.15x - 0.10(12000 - x) = 300. This gives 0.25x = 1500, so x equals Rs 6000.

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