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Given below are two quantities named 1 and 2. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. A shopkeeper sells a table at a profit of 25/2%and a chair at a loss of 25/3% but on the whole, he gains Rs. 25. If he sells the table at a loss of 25/3% and the chair at a profit of 25/2% then he neither gains nor loses. Quantity 1: The cost price of the table. Quantity 2: The cost price of the chair.

Given below are two quantities named 1 and 2. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. A shopkeeper sells a table at a profit of 25/2%and a chair at a loss of 25/3% but on the whole, he gains Rs. 25. If he sells the table at a loss of 25/3% and the chair at a profit of 25/2% then he neither gains nor loses. Quantity 1: The cost price of the table. Quantity 2: The cost price of the chair. Correct Answer Quantity 1 > Quantity 2

Applying alligation method,

-25/3% +25/2%

0%

25/2 25/3

∴ Table : Chair = 1/2 : 1/3 = 3 : 2 

Let the CP of table and chair be 3x and 2x respectively.

⇒ 3x × 25/200 - 2x × 25/300 = 25

⇒ x = 120 

∴ Price of chair = 2x = 2 × 120 = Rs. 240 

Price of table = 3x = 3 × 120 = Rs. 360

∴ Quantity 1 > Quantity 2

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