Question

a) A Sugar merchant marks the price of sugar 20 % above the cost and then gives 10% discount to the customers. Find his profit percent.​

Answer 1

Answer:

Let the cost price of sugar be Rs. x

Marked Price of sugar is 20% more than the Cost price. In terms of equation we can write it as:

⇒ Marked Price = CP + 20% of CP

⇒ Marked Price = x + 20% of x

⇒ Marked Price = x + 0.2x

⇒ Marked Price = 1.2 x

Discount Percentage = 10%

⇒ Discounted Price = Marked Price - 10% of Marked Price

⇒ Discounted Price = 1.2x - 10% of 1.2x

⇒ Discounted Price = 1.2x - 0.12x

⇒ Discounted Price = 1.08x

⇒ Profit Percentage = (Profit/CP) × 100

⇒ Profit % = [(1.08x - x)/x] × 100

⇒ Profit % = (0.08x/x) × 100 = 8%

Hence the profit percentage of the sugar merchant is 8%.

Answer 2

❐QuEsTiOn,

a) A Sugar merchant marks the price of sugar 20 % above the cost and then gives 10% discount to the customers. Find his profit percent.

❐To FiNd,

$\pink{ \sf \: Merchant \: Profit \: ?}$

❐SoLuTiOn,

Market Price of sugar is 20% more than the cost price.

$\green{ \sf \: In \: terms \: of \: equation.}$

$\pink{ \sf \: As,We \: Know, \: }$

$\sf \: Market \: Price = CP + 20\% \: of \: CP</p><p>$

$\sf \: Market \: Price = x + 20 \% \: of \: x.</p><p>$

$\sf \: Market \: Price = x + 0.2x \\ </p><p> \sf \: Market Price = 1.2x \: \: \: \: \: \: \: \: \: </p><p></p><p>$

$\green{\sf \: Discount \: Percentage = 10\%}$

$\pink{ \sf \: Discounted \: price = Market \: price - 10\% \: of \: market \: price }$

$\sf \: Discounted \: Price = 1.2x - 10\% \: of \: 1.2x$

$\sf \: Discounted \: Price = 1.2x - 0.12x$

$\sf \: Discounted \: Price = 1.08x$

$\green{ \sf \: Profit \: Percentage = ( Profit / cp ) 100} \\</p><p> \sf \: Profit \% = [(1.08x - x )/x] × 100</p><p> \\ \sf \: Profit \%= (0.08x/x)×100 </p><p> \\ \sf \: Profit \%= 8 \%</p><p>$

$\pink{ \sf \: Therefore,}$

$\green{ \sf \: The \: Profit \: of \: Merchant \: is \: 8\%}$

❐FiNal AnSwEr,

$\color{blue} \boxed{\sf \: The \: Profit \: of \: Merchant \: is \: 8\%}$

❥Hope you get your AnSwEr.