Question

A retailer sold a T.V. set for ₹ 21,800 at a profit of 9%. What is the cost price of a T.V. set for the retailer?​

Answer 1

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Let original price be "x"

so,

$\therefore9 \% \: of \: x = 21800 - x \\ \therefore \: profit = 21800 - x\\ \therefore \: we \: know \: that , \\ \% = \frac{profit}{original \: price} \times 100 \\ \therefore9 = \frac{21800 - x}{x} \times 100 \\ \therefore9x = 21800 \times 100 - 100x \\ \therefore9x + 100x = 2180000 \\\therefore109x = 2180000 \\ x = \frac{2180000}{109} \\ x = 20000$

therefore, the cost price of a T.V. set for the retailer is ₹20000.