Question
A person buys 5 tables and 9 chairs for Rs15,400. He
sells the tables at 10% profit and chairs at 20% profit. If his total profit on selling all the tables and chairs is Rs2,080. what is the cost price of 3 chairs?Solution
Let the cost price of one table and one chair be Rs. x and Rs. y respectively. => 5x + 9y = 15400 ------ (i) According to the question, => 5x × (10/100) + 9y × (20/100) = 2080 => 5x/10 + 18y/10 = 2080 => 5x + 18y = 20800 ------- (ii) Subtract equation (i) from equation (ii), we get => 9y = 5400 => 3y = 1800 ∴ Cost of 3 chairs are Rs. 1,800.
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