Question

by selling a chair for Rs.720,a trader gain 20% .Find the cost price of the chair​

Answer 1

Step-by-step explanation:

Sold price = 720

Gain/Profit = 20%

Therefore, 20% of 720 = 144

Cost price = Sold price - Profit/ gain

= 720 - 144 => 576

Answer 2

Answer:

$\huge\underline\mathfrak\pink{Answer-}$

$S.P =720\: rupees \\ \\ \\</p><p>Profit\:percent= 20\: percent \\ \\ \\</p><p>Profit\: percent= \frac{Profit}{C.P}× 100\\ \\ \\</p><p>Profit= S.P - C.P\\ \\ \\</p><p>therefore\: Profit\: percent= \frac{S.P - C.P}{C.P}× 100\\ \\ \\</p><p>assume\: C.P\: as\: x. \\ \\ \\</p><p>by \:putting\: the \:values.\\ \\ \\</p><p>20 = \frac{720-x}{x}× 100\\ \\ \\</p><p>20= \frac {100(720-x)}{x}\\ \\ \\</p><p>by \:cross\: multiplication.\\ \\ \\</p><p>20(x)= 100(720-x)\\ \\ \\</p><p>20x= 72000-100x\\ \\ \\</p><p>20x+100x= 72000\\ \\ \\</p><p>120x= 72000\\ \\ \\</p><p>x= \frac{72000}{120}\\ \\ \\</p><p>x= 600$

$\huge\underline\mathfrak\pink{Verification}\\ \\ \\</p><p></p><p></p><p>Profit = 20\: percent\: of \: 600 = \\ \\ \\</p><p>600 × \frac{20}{100}\\ \\ \\</p><p>600× \frac{1}{5}\\ \\ \\</p><p>\frac{600}{5}= 120.\\ \\ \\</p><p>S.P= C.P \:+\: Profit\\ \\ \\</p><p>S.P= 600+120\\ \\ \\</p><p>S.P= 720.\\ \\ \\</p><p>Hence\: our \: answer \: is \: correct.$

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