Question

Preeti marks up her goods at 30 percent and gives a discount of 10 percent.what is the profit percentage.

Answer 1

GɪᴠᴇN :-

• Mark - UP = 30%
• Discount = 10% .

Tᴏ Fɪɴᴅ :-

• Profit % ?

Sᴏʟᴜᴛɪᴏɴ :-

Let us Assume That, Cost Price of the goods was Rs.100.

It is given that, Preeti marks up The goods at 30% .

So,

→ MP = CP + 30% of CP

→ MP = 100 + 30% of 100

→ MP = 100 + (30*100/100)

→ MP = 100 + 30

→ MP = Rs.130

_____________

Now,

→ Markup Price = Rs.130

→ Discount % = 10%

→ Selling Price = MP * (100 - D%) / 100

→ SP = (130 * 90)/100

→ SP = Rs.117 .

____________

Hence,

→ Profit = SP - CP

→ Profit = 117 - 100

→ Profit = Rs.17

→ Profit % = (Profit in Rs. * 100) / CP

→ Profit % = (17 * 100) / 100

→ Profit % = 17% (Ans.)

Hence, Preeti makes 17% profit on goods.

Answer 2

Given Question :

Preeti marks up her goods at 30 percent and gives a discount of 10 percent.

To Find :

Profit percentage of the goods.

Formula used :

Selling price (S.P) - Cost price (C.P) = Profit

$Profit \: \% = \frac{profit}{cost \: price} \times 100$

Solution :

Let the Cost price (C.P) be 100.

Then,

Marked price (M.P) = C.P+30% of C.P

Marked price (M. P) = 100 + 30

Marked price (M.P) = 130

And,

$Selling \: price (S.P) = \frac{ M.P (100 - Discount\%) }{100} \\ Selling \: price (S.P) = \frac{ 130 (100 - 10) }{100} \\ Selling \: price (S.P) = \frac{130 \times 90}{100} \\ Selling \: price (S.P) = 117 \:$

Therefore,

Profit = S.P - C.P

Profit = 117 - 100

Profit = 17

Hence,

$Profit \: \% = \frac{profit}{C.P} \times 100 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{17}{100} \times 100 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 17 \: \%$