Question

4) Joseph bought a machine for Rs 23,500. He paid
Rs.1,200 for transport and Rs 300 as tax. If he sold
it to a customer for Rs 24,250. What was his percent
profit or loss?​

Answer 1

☯ Total Cost of Machine = 23500 + 1200 + 300 = Rs.25000

☯ Selling price is Rs. 24250

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• C.P. greater than S.P.

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$\underline{\bigstar\:\boldsymbol{According \;to \;the\: given \;Question\; :}}$

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• ${\blue{\mathfrak{Loss\:\leadsto\:C.P.\:-\:S.P}}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{25000\:-\:24250}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{Rs.\:750}$

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• Joseph suffered a loss of Rs. 750.

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Supposing loss was N%.

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{\dfrac{N}{100}}\:=\:{\dfrac{750}{25000}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{\dfrac{N}{100}}\:\times\:100\:=\:{\dfrac{3}{100}}\:\times\:100$

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$\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{\dfrac{N}{\cancel{100}}}\:\times\:{\cancel{100}}\:=\:{\dfrac{3}{\cancel{100}}}\:\times\:{\cancel{100}}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\:{\underline{\boxed{\frak{\pink{n\:=\:3}}}}}\:\bigstar$

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$\:\:\:\:\:\:\:\therefore\:{\underline{\sf{His\:loss\:percent\:is\:{\textsf{\textbf{3 \%}}}}}}.$

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$\:\:\:\:\:\:\:\:━━━━━━━━━━━━━━━━━━━$

Answer 2

Answer:

☯ Total Cost of Machine = 23500 + 1200 + 300 = Rs.25000

☯ Selling price is Rs. 24250

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C.P. greater than S.P.

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\underline{\bigstar\:\boldsymbol{According \;to \;the\: given \;Question\; :}}

★AccordingtothegivenQuestion:

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{\blue{\mathfrak{Loss\:\leadsto\:C.P.\:-\:S.P}}}Loss⇝C.P.−S.P

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\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{25000\:-\:24250}:⟹25000−24250

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\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{Rs.\:750}:⟹Rs.750

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Joseph suffered a loss of Rs. 750.

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Supposing loss was N%.

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\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{\dfrac{N}{100}}\:=\:{\dfrac{750}{25000}}:⟹

100

N

=

25000

750

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\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{\dfrac{N}{100}}\:\times\:100\:=\:{\dfrac{3}{100}}\:\times\:100:⟹

100

N

×100=

100

3

×100

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\:\:\:\:\:\:\::\:\Longrightarrow\sf\:{\dfrac{N}{\cancel{100}}}\:\times\:{\cancel{100}}\:=\:{\dfrac{3}{\cancel{100}}}\:\times\:{\cancel{100}}:⟹

100

N

×

100

=

100

3

×

100

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\:\:\:\:\:\:\::\:\Longrightarrow\:{\underline{\boxed{\frak{\pink{n\:=\:3}}}}}\:\bigstar:⟹

n=3

★

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\:\:\:\:\:\:\:\therefore\:{\underline{\sf{His\:loss\:percent\:is\:{\textsf{\textbf{3 \%}}}}}}.∴

Hislosspercentis3 %

.

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