Math, asked by scarletchase60, 6 months ago

An almirah is sold at Rs 5,225 after allowing a discount of 5%. What is the marked price

Answers

Answered by TheProphet
7

S O L U T I O N :

\underline{\bf{Given\::}}

  • Selling price of an Almirah, (S.P) = Rs.5225
  • Discount, (D) = 5%

\underline{\bf{Explanation\::}}

As we know that formula of the discount;

\boxed{\bf{Discount = \bigg(\dfrac{Discount\:\%}{100} \bigg)\times Marked\:price}}

A/q

\mapsto\tt{Discount = \bigg(\dfrac{5}{100} \bigg)\times M.P}

\mapsto\tt{Discount = \dfrac{5}{100} \times M.P}

\mapsto\tt{Discount = \dfrac{5\:M.P}{100} }

Now,

As we know that,

\boxed{\bf{Selling\:price = Marked\:price - Discount}}

So,

\mapsto\tt{MP = Selling\:price + discount}

\mapsto\tt{MP = 5225+ \dfrac{5\:MP}{100} }

\mapsto\tt{MP =\dfrac{522500 + 5\:MP}{100} }

\mapsto\tt{100\:MP = 522500 + 5\:MP}

\mapsto\tt{100\:MP-5\:MP = 522500 }

\mapsto\tt{95\:MP = 522500 }

\mapsto\tt{MP = \cancel{522500/95 }}

\mapsto\bf{MP = Rs.5500}

Thus,

The Marked price of an almirah will be Rs.5500 .

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