Question

SP = 81 discount = 10 % what is MP​

Answer 1

• M.P is 90.

Step-by-step explanation:

To find:-

• MP or Market price.

Solution:-

Given that,

Selling price is 81

Discount percent is 10%.

Discount = Market price - Selling price

• Discount is the amount or price reduced from the normal selling price of something.

• Market price is the original or normal price of something.

• Selling price is the price by which something is selled to someone.

Putting Selling price is discount formula:

➝ Discount = M.P - 81

Discount is M.P - 81.

$\boxed{ \bold{Discount \: percent = \frac{Discount}{M.P} \times 100}}$

➝ 10 = M.P - 81/M.P × 100

➝ 10 × M.P = (M.P - 81) × 100

➝ 10/100 × M.P = M.P - 81

➝ M.P/10 = M.P - 81

➝ M.P = 10×(M.P - 81)

➝ M.P = 10 M.P - 810

➝ 10 M.P - M.P = 810

➝ 9 M.P = 810

➝ M.P = 810/9

➝ M.P = 90

Therefore,

M.P is 90 .

Answer 2

$\huge\bold{\mathbb{QUESTION}}$

SP $= Rs.\, 81,$ discount $= 10\%.$

What is MP?

$\huge\bold{\mathbb{GIVEN}}$

• SP $= Rs.\, 81$

• Discount $= 10\%$

$\huge\bold{\mathbb{TO\:\,FIND}}$

The MP.

$\huge\bold{\mathbb{FORMULAE}}$

$\:\:\,\,$[[[ $\boxed{\boxed{\tt {Discount=Discount{\mathfrak{\%}}\: of\: MP}}}$ ]]]

$\:\:\:\:\:\:\:\:\:\:\:\:$[[[ $\boxed{\boxed{\tt {SP=MP-Discount}}}$ ]]]

$\huge\bold{\mathbb{SOLUTION}}$

Let the MP be $Rs.\, x.$

Putting the formula of discount, let's find out the discount.

$Discount=Discount\%\: of\: MP$

$\implies Discount=Rs.\,(10\%\: of\: x)$

$\implies Discount=Rs.\,({\dfrac{10}{100}}\times x)$

$\implies Discount=Rs.\,({\dfrac{1\cancel0}{10\cancel0}}\times x)$

$\implies Discount=Rs.\,({\dfrac{1}{10}}\times x)$

$\implies Discount=Rs.\,({\dfrac{x}{10}})$

So, Discount $=Rs.\,{\dfrac{x}{10}}$

Putting the formula of SP, let's find out the value of $x.$

$SP=MP-Discount$

$\implies 81=x-{\dfrac{x}{10}}$

$\implies 81={\dfrac{10x-x}{10}}$

$\implies 81={\dfrac{9x}{10}}$

$\implies 81\times 10= 9x$

$\implies 810= 9x$

$\implies {\dfrac{810}{9}}= x$

$\implies \cancel{\dfrac{810}{9}}= x$

$\implies 90= x$

$\huge\bold{\mathbb{HENCE}}$

$x=90$

MP $=Rs.\,x=Rs.\,90$

$\huge\bold{\mathbb{THEREFORE}}$

The MP is $Rs.\,90.$

$\huge\bold{\mathbb{NOT\:\,SURE\:\,??}}$

$\huge\bold{\mathbb{VERIFICATION}}$

$81=x-{\dfrac{x}{10}}$

Putting the value of $x.$

$\implies 81=90-{\dfrac{90}{10}}$

$\implies 81=90-{\dfrac{9\cancel0}{1\cancel0}}$

$\implies 81=90-9$

$\implies 81=81$

So, $L.H.S=R.H.S.$

Hence, verified ✓ .

$\huge\bold{\mathbb{WE\:\,MADE\:\,IT\:\,!!}}$