Question

. A dress marked at 1250 was sold at 10%
discount. The shopkeeper still made a profit of
12.5%. What was the cost price of the dress?​

Answer 1

Step-by-step explanation:

Given:-

• Marked price of the dress = Rs. 1250

• Discount% = 10%

• The shopkeeper still made a profit of
• 12.5%.

To Find:-

• The cost price of the dress.

Solution:-

$\sf Marked \: Price \: (MP) = Rs.1250$

$\sf Discount \% = 10\%$

$\sf Discount = Discount\% \: of \: M.P$

$\sf = 10\% \: of \: 1250$

$\sf = \dfrac{10}{100}\times 1250$

$\sf = 125$

$\sf \dashrightarrow \underline{\: \: \underline{Discount = Rs. 125\:}\: \:}$

$\sf Now,\: Selling \: Price \: SP = Marked \: Price - Discount$

$\sf \implies SP = 1250 - 125$

$\sf \implies SP = 1125$

$\sf \dashrightarrow \underline{\: \: \underline{\: Selling \: Price \: (SP) = Rs.1125\: }\: \:}$

$\sf Given, \: Profit\% = 12.5\%$

$\sf The\: formula \: for\: finding \: Cost \: Price \: is:-$

$\sf \leadsto CP = \dfrac{100 + Profit\%}{100}\times SP$

$\sf \implies CP = \dfrac{100 + 12.5}{100}\times 1125$

$\sf \implies CP = \dfrac{100 + 12.5}{100}\times 1125$

$\sf \implies CP = \dfrac{112.5}{100}\times 1125$

$\sf \implies CP = \dfrac{126562.5}{100}$

$\sf \implies CP = 1265.625$

$\underline{\boxed{\purple{\rm \therefore Cost\: price\: of \: the\: dress = Rs. 1265.625}}}$