Question

a person incurs 5% loss for selling a watch for RS 1 140 at what price should the watch be sold to earn 5% profit

Answer 1

ⓢoLuTiOn :-


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SP = 1140

loss% = 5%

CP =
$\frac{100}{100 - 5} \times 1140$


$\frac{100}{95} \times 1140$


= 1200


now ,,


CP = 1200

profit % = 5%

SP =


$\frac{100 + 5 }{100} \times 1200$



= 1260


so, the selling price is 1200


Hope it helps you

Thanks for asking......



$<b > prabhudutt$

Answer 2

$\huge\bold\blue{Solution :\longrightarrow}$

For the watch

SP = Rs 1140

Loss % = 5%

$\mathsf\green{CP = \frac{100}{(100 - loss\%)} \times SP} \\ \\ \: \: \: \: \: \mathsf\green{= Rs} \:[ \: \mathfrak\green{\frac{100}{(100 - 5)} \times 1140} ]\\ \\ \: \: \: \: \: \mathsf\green{= Rs} \: \: \mathfrak\green{(\frac{100}{95} \times 1140)} \\ \\ \: \: \: \: \: \mathsf\green{= Rs} \: \: \mathfrak\green{1200}$

Now, CP = Rs 1200 and desired profit% = 5%

$\mathsf\red{Desired \: \: SP = \frac{(100 + profit\%)}{100} \times CP} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \mathsf\red{= Rs} \:[ \: \mathfrak\red{\frac{(100 + 5)}{100} \times 1200}] \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \mathsf\red{= Rs} \: \: \mathfrak\red{( \frac{105}{100} \times 1200)} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\mathsf\red{ = Rs} \: \: \mathfrak\red{1260}$

$\bold\purple{Hence, \: \: the \: \: desired \: \: selling \: \: price} \\ \bold\purple{is \: \: Rs \: \: 1260.}$


$<b><marquee>##RUWAT##<marquee>$