A trader marks a television 20% above the cost price and allows a discount of 10%. If the profit earned is Rs.544 , then what is the cost price of the television?

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Solution

Let the cost price be Rs $x$ (1)

Market price $= x + 20 %$ of $x$

$= \frac{120 x}{100} = \frac{6 x}{5}$ Rs.

$S P = \frac{6 x}{5} - 10 %$ of $\frac{6 x}{5}$

$S P = \frac{6 x}{5} - \frac{1}{10} \times \frac{6}{5} x$

$= \frac{60 x - 6 x}{50}$

$S P = \frac{54 x}{50}$ (2)

Profit earned = $R s 544$

Profit = SP - CP

$544 = \frac{54 x}{50} - x$

$544 = \frac{54 x - 50 x}{50}$

$544 = \frac{4 x}{50}$

$x = R s 6800$

CP of television = $R s 6800$

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A trader marks a television 20% above the cost price and allows a discount of 10%. If the profit earned is Rs.544 , then what is the cost price of the television?

Let the cost price be Rs x __(1)Market price =x+20% of x=120x100=6x5 Rs.SP=6x5−10% of 6x5SP=6x5−110×65x=60x−6x50SP=54x50 __(2)Profit earned = Rs544Profit = SP - CP544=54x50−x544=54x−50x50544=4x50x=Rs 6800CP of television = Rs 6800