Question

I purchased two tables for rupees 600. I sold one at a loss of 15% and other at a gain of 19 %. if the selling price of the both tables equal, find the cost price of each table.​

Answer 1

1. this will be the answer. check it out

Answer 2

Answer:  The required cost price of the two tables are Rs. 350 and Rs. 250.

Step-by-step explanation:  Given that I purchased two tables for rupees 600. I sold one at a loss of 15% and other at a gain of 19% and the selling price of the both tables equal.

Let Rs x be the cost price of one table. So, the cost price of the other table is Rs. (600 - x).

Then, according to the given information, we have

$x-15\%\times x=(600-x)+19\%\times (600-x)\\\\\\\Rightarrow x-\dfrac{15}{100}x=(600-x)+\dfrac{19}{100}(600-x)\\\\\\\Rightarrow x-\dfrac{3x}{20}=(600-x)+\dfrac{19(600-x)}{100}\\\\\\\Rightarrow \dfrac{17x}{20}=\dfrac{119(600-x)}{100}\\\\\Rightarrow 85x=71400-119x\\\\\Rightarrow 85x+119x=71400\\\\\Rightarrow 204x=71400\\\\\Rightarrow x=\dfrac{71400}{204}\\\\\Rightarrow x=350.$

So, the cost price of one table is Rs. 350 and the cost price of the other table is

$600-350=250.$

Thus, the required cost price of the two tables are Rs. 350 and Rs. 250.