Question

Q.7 - A shopkeeper bought an article at 20% discount on the marked
price, and he sold it at a profit of 40% on the marked price. What is
the actual profit% made by the shopkeeper?​

Answer 1

Gɪᴠᴇɴ :-

• Discount Shopkeeper get = 20% of MP.
• Sold it at a Profit of = 40% of MP.

Tᴏ Fɪɴᴅ :-

• What is the actual profit% made by the shopkeeper ?

Sᴏʟᴜᴛɪᴏɴ :-

Let us Assume That, Marked Price (MP) of the article is Rs.100 .

Than,

→ MP = Rs.100

→ Discount Shopkeeper get = 20% of MP = 20% of 100 = (20 * 100)/100 = Rs.20 .

So,

→ Shopkeeper Bought the articles at = MP - Discount = 100 - 20 = Rs.80 .

______________

Now,

→ MP = Rs.100

→ Profit = 40% of MP = 40% of 100 = (40*100)/100 = Rs.40 .

______________

Therefore,

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

→ Actual Profit % = (40 * 100) / 80

→ Actual Profit % = 50% (Ans.)

Hence, the actual profit% made by the shopkeeper is 50% .

Answer 2

Given :

Discount = 20% of marked price

Profit made by shopkeeper= 40% of marked price

To Find :

Actual profit % made by the shopkeeper

Formula used :

C.P = M.P - Discount

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

Answer :

Let's consider the marked price (M.P) to be 100 rupees. Then,

$Discount = \frac{20}{100} \times 00 = 20 \: rupees$

And,

Cost price of the article = 100 - 20 = 80 rupees

$Profit = \frac{40}{100} \times 100 = 40 \: rupees$

And as we know,

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

So, the actual profit % = 40×100/80 = 50%

Therefore, the actual profit % made by the shopkeeper is 50%.