Question

on selling a TV for rs24480 a dealer losses 4%. for how much should he sell it to gain 4%​

Answer 1

Answer:

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Answer 2

Question :-

On Selling a TV for Rs. 24480, a Dealer loses 4%. For how much should He Sell it to Gain 4%​?

Solution :-

Selling Price of the TV = Rs. 24,480

Loss% = 4%

$\begin {aligned} \therefore \bold {Cost\: Price\: of\: the\: TV} & = \bold {\Big [\frac{100}{(100 - Loss\%)} \times Selling\: Price \Big] }\\\\\\& \Rightarrow Rs. \Big [\frac{100}{(100 - 4)} \times 24,480 \Big ] = Rs. \Big [\frac{100}{96} \times 24,480 \Big ] \\\\\\ & = \bold {Rs. 25,500} \end {aligned}$

Now, Cost Price = Rs. 25,500, Desired Gain% = 4%

$\begin {aligned} \bold {Desired\: Selling\: Price} & = \bold {\Big [\frac{(100 + Gain\%)}{100} \times Cost\: Price \Big ]}\\\\\\& \Rightarrow Rs. \Big [\frac{(100 + 4)}{100} \times 25,500 \Big ] = Rs. \Big [\frac{104}{100} \times 25,500 \Big ] \\\\\\& = \bold {Rs.\: 26,520} \end {aligned}$

Hence, The Desired Selling Price of the TV is Rs. 26,520 . . .

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