Math, asked by vaishnaveetomar843, 6 hours ago

Mahesh sells two chairs for 800 each, gain 20% on one and loses 20% on the other, find his gain or loss percentage in the entire transcation.​

Answers

Answered by NightSparkle
16

\large\bold{\underline{\underline{\green{✎Given:-}}}}

  • Sells Two chairs RS.800 each,
  • Gain =20%
  • Loses = 20%

To Find :-

  • His Gain or loss Percentage in the entire Transaction .

\large\bold{\underline{\underline{\red{❒ \:  ꜱᴏʟᴜᴛɪᴏɴꜱ:-}}}}

As Per Given ,

\red{ \boxed{\sf{ \frac{800}{x} =  \frac{120}{100}  \:  \: (celling \: price \: percentage \:  = orginal \: price \: 100 \: percentage +  \: 20 \: percentage \: profit }}}

 =  =  =  \\  \\ x = 800 \times  \frac{100}{120}  \\  =   \frac{80000}{120}  = 666.67 \\

So,

The Price of First Chair is = 666.67

  • Let's Take the value of First chair = y

\red{ \boxed{\sf{ \frac{800}{y} =  \frac{80}{100}   \: (celling \: price \: percentage = orginal \: price \: percentage \: 100percentage - 20percentage)}}}

 =  =  \\  \ \\ y = 800 \times  \frac{100}{80}  \\   =  \frac{80000}{80}  = 1000

So,

The price of First chair is 1,000 .

Now , Total cost of Two Chairs

= 666.67 + 1000

= 1666.67

  • The celling price of Two chairs = 800×2=1600
  • The profit He made = 1666.67 -1000 = Rs.66.67

\red{ \boxed{\sf{in \: perecentage \:  =  \frac{66.67}{1666.67}  \times 100 = 4.0007 \: percentage \: he \: made \: profit}}}

Hence,4.0007% he made profit .

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Answered by OoAryanKingoO78
1

Answer:

\large\bold{\underline{\underline{\purple{✪Given:-}}}}

Sells Two chairs RS.800 each,

Gain =20%

Loses = 20%

\large\bold{\underline{\underline{\purple{✪To\:Find:-}}}}

His Gain or loss Percentage in the entire Transaction .

\large\bold{\underline{\underline{\red{❒ \:Sᴏʟᴜᴛɪᴏɴꜱ:-}}}}

As Per Given ,

\purple{ \boxed{\sf{ \frac{800}{x} =  \frac{120}{100}  \:  \: (celling \: price \: percentage \:  = orginal \: price \: 100 \: percentage +  \: 20 \: percentage \: profit }}}

 =  =  =  \\  \\ x = 800 \times  \frac{100}{120}  \\  =   \frac{80000}{120}  = 666.67 \\

So,

The Price of First Chair is = 666.67

Let's Take the value of First chair = y

\pink{ \boxed{\sf{ \frac{800}{y} =  \frac{80}{100}   \: (celling \: price \: percentage = orginal \: price \: percentage \: 100percentage - 20percentage)}}}

 =  =  \\  \ \\ y = 800 \times  \frac{100}{80}  \\   =  \frac{80000}{80}  = 1000

So,

The price of First chair is 1,000 .

Now , Total cost of Two Chairs

= 666.67 + 1000

= 1666.67

The celling price of Two chairs = 800×2=1600

The profit He made = 1666.67 -1000 = Rs.66.67

\red{ \boxed{\sf{in \: perecentage \:  =  \frac{66.67}{1666.67}  \times 100 = 4.0007 \: percentage \: he \: made \: profit}}}

  • Hence,4.0007% he made profit .

\purple{\rule{45pt}{7pt}}\red{\rule{45pt}{7pt}}\pink{\rule{45pt}{7pt}}\blue{\rule{45pt}{7pt}}

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