Question

A dealer marks his goods 20 % more than the cost price , and offers a discount of 10 % . Find his gain or loss %​

Answer 1

✬ Profit % = 8 % ✬

Step-by-step explanation:

Given:

• Marked price is 20% more than cost price.
• Discount percent is 10%.

To Find:

• What is loss or profit % ?

Solution: Let C.P be Rs 100. Therefore,

➟ M.P will be = 100 + 20% of c.p

➟ M.P = 100 + 20/100 × 100

➟ M.P = 100 + 20 = 120

Now discount percent is 10% so discount will be

➟ Total discount = 10 % of M.P

➟ Total discount = 10/100 × 120 = 12

As we know that

★ S.P = M.P – Discount ★

• S.P = 120 – 12 = Rs 108

On comparing S.P and C.P

• S.P > C.P (Here is profit)

★ Profit = S.P – C.P ★

• Profit = 108 – 100 = 8

★ Profit % = Profit/C.P × 100 ★

• Profit % = 8/100 × 100 = 8 %

Hence, profit % is 8 percent.

Answer 2

$\huge\bf{\underbrace{\gray{GIVEN:-}}}$

• A dealer marks his goods 20% more than the cost price .

• And discount of 10% .

$\huge\bf{\underbrace{\gray{TO\:FIND:-}}}$

• His Gain or Loss .

$\huge\bf{\underbrace{\gray{SOLUTION:-}}}$

Let,

• $\bf\red{Cost\:price\:be}$ = Rs.100

☞︎︎︎ Then it is given that, mark price is 20% more than cost price .

➪ 100 + 20%

➪ 100 + 20/100 × 100

➪ 100 + 20

➪ Rs.120

• Therefore, $\bf\pink{M.P\:is\:Rs.120\:.}$

☯︎ According to the question, discount is 10% .

$\bf\red{:\implies\:Selling\:price\:=\:90\%\:of\:M.P\:}$

$\rm{:\implies\:Selling\:price\:=\:\dfrac{90}{100}\times{120}\:}$

$\bf\green{:\implies\:Selling\:price\:=\:Rs.108\:}$

• Here, S.P > C.P ($\because$ 108 > 100)

✯ Hence, Here Profit is happened .

$\orange\bigstar\:\bf{\red{\overbrace{\underbrace{\purple{Profit\:=\:S.P\:-\:C.P\:}}}}}$

⇒ Profit = 108 - 100

⇒ Profit = Rs.8

$\green\bigstar\:\bf{\red{\overbrace{\underbrace{\purple{\%\:Profit\:=\:\dfrac{Profit}{C.P}\times{100}\:}}}}}$

$\rm{:\implies\:\%\:Profit\:=\:\dfrac{8}{100}\times{100}\:}$

$\bf\green{:\implies\:\%\:Profit\:=\:8\%\:}$

$\huge\red\therefore$ The profit of dealers is "8%" .