Question
After selling 15 chairs, a furniture shop earns a profit
equivalent to the selling price of 3 tables. While selling 10 tables, the shop earns a profit equal to the selling price of 5 chairs. The numerical value of the Profit % is equal in both cases and the Cost price of a chair is one-third the cost price of a table. Find the ratio of the selling price of a chair to a table.Solution
ATQ, Let the cost price of a chair be 'c', then the cost price of a table is '3c' And the Selling price of the chair and the table be Sc and St respectively Now according to the Question, Cost price of 15 chair = 15c and the profit = 3St Profit % = (3St/15c) Ă— 100 = (20St/c) % Cost price of 10 tables =30c and profit = 5Sc. Profit percentage = (5Sc/30c) Ă— 100 = (50Sc/3c) % Since the profit percentages are equal: 
The ratio of the selling price of a chair to a table is 6:5.
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