Question

A shopkeeper bought two tv sets for Rs. 10,000 each. he sold one at a profit of 8% and other at a loss of 10% . find the overall loss or profit. i want step by step answer please​

Answer 1

Answer:

Cost Price of tv = 10000

$\:$

Profit% = 8%

$\:$

$\large \rm \: s.p = \dfrac{100 + p}{100} \times c.p$

$\:$

$\large\rm s.p = \dfrac{100 + 8}{100} \times 10000$

$\:$

$\large\rm s.p = \dfrac{108}{100} \times 10000$

$\:$

$\large\rm s.p = \dfrac{108}{ \cancel{100}} \times 100 \cancel{00}$

$\:$

$\large : \implies \: \rm s.p = 108 \times 100$

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$\large \therefore\: \rm s.p =10800$

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Loss = 10%

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$\large \rm \: s.p = \dfrac{100 - l}{100} \times c.p$

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$\large \rm \: s.p = \dfrac{100 - 10}{100} \times 10000$

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$\large \rm \: s.p = \dfrac{90}{100} \times 10000$

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$\large\rm s.p = \dfrac{90}{ \cancel{100}} \times 100 \cancel{00}$

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$\large : \implies \: \rm s.p = 90 \times 100$

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$\large \therefore\: \rm s.p =9000$

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• Total C.P = 10000+ 10000 = rs. 20000

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• Total S.P = 10800 + 9000 = rs. 19800

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Loss = C.P - S.P

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⇒ Loss = 20000 - 19800

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⇒ Loss = rs. 200

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$\large \rm{loss\% = \dfrac{loss \times 100}{c.p} }$

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$\large \: \: : ⇒ \: \rm{loss\% = \dfrac{200 \times 100}{20000} }$

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$\large \: \: : ⇒ \: \rm{loss\% = \dfrac{200 00}{20000} }$

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$\large \: \: : ⇒ \: \rm{loss\% = \dfrac{ \cancel{200 00} \: \: 1}{ \cancel{20000}} }$

$\:$

Loss% = 1%

Answer 2

$\red{ \qquad \underline{ \pmb{{ \mathbb{ \maltese  \:  CORRECT\: \: QUESTION \:   \maltese }}}}}$

A shopkeeper bought two TV sets at Rs 10,000 each.He sold one at a profit 10% and the other at a loss of 10%. Find whether he made an overall profit or loss.

$\huge\bold\green{Solution}$

$\huge\boxed{\fcolorbox{purple}{ink}{GIVEN:}}$

$\small\boxed{\dag\sf\red{Selling \: price \: of \: tv \: =Rs. 10,000 }\dag}$

$\huge\boxed{\fcolorbox{pink}{ink}{profit = 10\%:}}$

$\huge\fbox\pink{✯Answer✯}$

$\huge\fbox\pink{✯Selling price =[100+p/100]×C.P✯}$

$=[100+10/100]×10000$

$=110/100×10000$

$= 11×1000$

$= Rs. 11000$

$\huge\boxed{\fcolorbox{purple}{ink}{GIVEN:}}$

$\huge\boxed{\fcolorbox{pink}{ink}{Loss= 10\%:}}$

$\huge\fbox\pink{✯Answer✯}$

Selling price =[100−L/100]×C.P

$\huge\fbox\pink{✯Selling price =[100−L/100]×C.P✯}$

$=100−10/100×10000$

$=90/100×10000$

$=9×1000$

$=9000$

$\huge\boxed{\fcolorbox{purple}{ink}{total \: cost \: price:}}$

$=10000+10000 =20000$

$\huge\boxed{\fcolorbox{purple}{ink}{total \: selling\: price:}}$

$=11000+9000=20000$

$\Large\green{\qquad\underline{\pmb{{ \mathbb { \maltese  \:  here\:  \maltese }}}}}$

$C.P=S.P$

$\huge\bold\green{Therefore, \: it \: is \: neither \: Loss \: nor \: Profit.}$