price of 3 chairs and 2 tables is ₹4500 .The price of 5 chairs and 3 tables is₹7000 find the total price of 3 chairs and 3 tables
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Let the price of one chair be Rs ‘x’ and that of one table be Rs ‘y’ According to the first condition, the price of 3 chairs and 2 tables is Rs 4500 ∴ 3x + 2y = 4500 ,..(i) According to the second condition, the price of 5 chairs and 3 tables is ? 7000 ∴ 5x + 3y = 7000 …(ii) Multiplying equation (i) by 3, 9x + 6y = 13500 ….(iii) Multiplying equation (ii) by 2, 10x + 6y= 14000 …(iv) Subtracting equation (iii) from (iv), Substituting x = 500 in equation (i), 3x + 2y = 4500 ∴ 3(500)+ 2y = 4500 ∴ 1500 + 2y = 4500 ∴ 2y = 4500 - 1500 ∴ 2y = 3000 ∴ y = 3000/2 ∴ y = 1500 ∴ Price of 2 chairs and 2 tables = 2x + 2y = 2(500)+ 2(1500) = 1000 + 3000 = Rs 4000 ∴ The price of 2 chairs and 2 tables is Rs 4000.Read more on Sarthaks.com - https://www.sarthaks.com/847895/the-price-chairs-tables-4500-price-chairs-tables-7000-then-find-the-price-chairs-and-tables
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