A person bought a chair and a table for ₹750. He sold the chair at a gain of 5% and the table at a gain of 20%. He gained 16% on the whole. What is original cost of table?

Explanation

By mixture and alligation on profit percentages: chair (5\%) and table (20\%) yield an overall profit of 16\%. The ratio of their cost prices is (20-16) : (16-5) = 4 : 11. The cost of the table is \frac{11}{4+11} \times 750 = ₹550.

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