Question
A furniture store owner gains 30% by selling a chair for Rs. 1300 and gains 15% by selling a table for Rs. 2300. If he sells the chair for Rs. 1100, what is the least price on which he must sell the table to avoid any loss on the whole transaction?
Solution
ATQ, Given: Chair sold for Rs. 1300 at a 30% profit. Table sold for Rs. 2300 at a 15% profit. Assumption: Cost price of the chair = Rs.'c' and cost price of the table = Rs.'t'. Calculation for the chair 
Calculation for the table 
If the chair is sold for Rs.1100, the loss = 1000−1100=−100. Total cost = 1000+2000 = 3000. To avoid any loss = 1100+p = 3000 ⇒ p = 1900 Therefore, he must sell the table for at least Rs.1900 to avoid any loss.
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