Question

CP = 800
gove count: 20%.
Discount
Find : Sp and MP​

Answer 1

$\underline{\sf{\green{Given}}}$

• Cost price (CP)=800
• Profit ( P)=20%
• Discount(D)%= 20%

$\underline{\sf{\green{To\ Find}}}$

• Selling price (SP) and Marked price (MP)

$\underline{\sf{\green{Formula\ Used}}}$

• $\boxed{\mathtt{ \pink{Sp=Mp×\left( \cfrac{100-D \%}{100}\right)} }}$
• $\boxed{\mathtt{ \pink{Sp=Cp×\left( \cfrac{100 + p \%}{100}\right)} }}$
• $\boxed{\mathtt{ \pink{mp = sp + discount }} }$

Where,

• SP= Selling price
• CP= Cost price
• MP= Marked Price
• D= Discount%

_____________________

Now

$\sf{Sp=Cp×\left( \cfrac{100 + p \%}{100}\right)}$

$\underline{\sf{\green{Putting\ the\ Value\ in\ Formula}}}$

$\implies \sf{Sp=800×\left( \cfrac{100 + 20}{100}\right)}$

$\sf{\implies Sp=800× \cfrac{120}{100}}$

$\sf{\implies Sp=8× 120}$

$~~~~~~~~~~ \underbrace{ \boxed{\sf{Sp=960} }} \: \: \: \: \: \: - - - (i)$

_____________________

$\bf {Now}$

$\sf{Sp=Mp×\left( \cfrac{100-D \%}{100}\right)}$

• Marked Perice =(MP)
• SP= 960. From Equation 1

• Discount%=20%

$\underline{\sf{\green{Putting\ the\ Value\ in\ Formula}}}$

$\\\sf{\implies 960=MP×\left( \cfrac{100-20}{100}\right)}$

$\\\sf{\implies 960=MP\left( \cfrac{80}{100}\right)}$

$\\\sf{\implies MP =960 \times \cfrac{100}{80} }$

$\\\sf{\implies MP=12 \times 100 }$

$~~~~~~~~\underbrace{ \boxed{\sf{ MP =1200 }}}$

_____________________

• Spelling Price= 960
• Marked price= 1200

_____________________

Answer 2

Step-by-step explanation:

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hope this helps you