A person sells a colour TV at 10% below the c | vedclass

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(C) Let the cost price $(CP)$ of the colour $TV$ be $x$.The initial selling price $(SP_1)$ at a loss of $10\%$ is:$SP_1 = x - 0.10x = 0.90x$.The desir

Vedclass · Accepted Answer

$6640$

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(C) Let the cost price $(CP)$ of the colour $TV$ be $x$.The initial selling price $(SP_1)$ at a loss of $10\%$ is:$SP_1 = x - 0.10x = 0.90x$.The desired selling price $(SP_2)$ at a profit of $12 \frac{1}{2}\%$ $(12.5\%)$ is:$SP_2 = x + 0.125x = 1.125x$.According to the problem,the difference between the two selling prices is $Rs. 1494$:$SP_2 - SP_1 = 1494$$1.125x - 0.90x = 1494$$0.225x = 1494$Solving for $x$:$x = \frac{1494}{0.225} = \frac{1494000}{225} = 6640$.Therefore,the cost price of the colour $TV$ is $Rs. 6640$.

$A$ person sells a colour $TV$ at $10\%$ below the cost price. Had he received $Rs. 1494$ more,he would have made a profit of $12 \frac{1}{2}\%$. What was the cost price of the colour $TV$ (in $Rs.$)?

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