Question

Morgan bought a pair of shoes at a sale of 25%. If the amount she paid was $1000, find the marked price.​

Answer 1

5000

thanks for your answer

Answer 2

S O L U T I O N :

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

• Discount on a pair of shoes, (D) = 25%
• Cost price of shoes, (C.P) = Rs.1000

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

Using formula of the marked price, (M.P) when given C.P;

$\boxed{\bf{C.P = M.P\bigg(\frac{100-Discount}{100} \bigg)}}$

A/q

$\mapsto\tt{cost\:price = Marked\:price \bigg(\dfrac{100 - Discount }{100} \bigg)}$

$\mapsto\tt{1000 = Marked\:price \bigg(\dfrac{100 - 25}{100} \bigg)}$

$\mapsto\tt{1000 = Marked\:price \bigg(\dfrac{75}{100} \bigg)}$

$\mapsto\tt{1000 =\dfrac{75\:Marked\:price}{100}}$

$\mapsto\tt{1000\times 100 = 75\:Marked\:price}$

$\mapsto\tt{100000 = 75\:Marked\:price}$

$\mapsto\tt{Marked\:price = \cancel{\dfrac{100000}{75} }}$

$\mapsto\bf{Marked\:price = Rs.1333.3}$

Thus,

The Marked price of a pair of shoes will be Rs.1333.3