Question

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

Answer 1

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 .