Question

A man bought a pair of shoes at a sale where the discount was 20%. If the amount pays is Rs 1600. Find the marked price.​

Answer 1

Given :

• Price at which se bought = Rs. 1600
• Discount she got = 20%

To Find :

• Marked Price = ?

Solution :

We know that,

$\bf \longrightarrow \boxed{ \bf \: M.P. = \dfrac{100}{100 - Discount\%} \times S.P. }$

Substituting the values,

$\sf \longrightarrow\sf \: M.P. = \dfrac{100}{100 - 20\%} \times 1600$

$\sf \longrightarrow\sf \: M.P. = \dfrac{100}{100 - 20} \times 1600$

$\sf \longrightarrow\sf \: M.P. = \dfrac{100}{80} \times 1600$

$\sf \longrightarrow\sf \: M.P. = \dfrac{100}{8 \cancel0} \times 160 \cancel0$

$\sf \longrightarrow\sf \: M.P. = \dfrac{100}{ \not8 } \times \cancel{160} { \: }^{20}$

$\sf \longrightarrow\sf \: M.P. = 100 \times 20$

$\red{\sf \longrightarrow\bf \underline{ \boxed{\bf M.P. =Rs. \: 2000}} \: \bigstar } \:$

Hence, the Marked Price is ₹2,000.