A trader marked the price of the T.V. 30% above the cost price of the T.V. and gave the purchaser 10% discount on the marked price, thereby gaining Rs.340. Find the cost price of the T.V ?

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Solution

Let ' $x^{'}$ be the cost price.
Now Marked price $= x + \frac{30 x}{100} = \frac{13 x}{10}$
$10 %$ discount $= \frac{10}{100} \times \frac{13 x}{10} = \frac{13 x}{100}$
Selling price $= \frac{13 x}{10} - \frac{13 x}{100} = \frac{117 x}{100}$
Given gain $= 340$
Here gain $= \frac{117 x}{100} - x = \frac{17 x}{100} = 340$
$∴ x =$ Rs. $2000$ .

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A trader marked the price of the T.V. 30% above the cost price of the T.V. and gave the purchaser 10% discount on the marked price, thereby gaining Rs.340. Find the cost price of the T.V ?

Let 'x′ be the cost price.Now Marked price =x+30x100=13x1010% discount =10100×13x10=13x100 Selling price =13x10−13x100=117x100Given gain =340Here gain =117x100−x=17x100=340∴x= Rs.2000.