Question

A shopkeeper buys 300 article and total cost is $1500. He sells 260 articles at a price of 20% above the cost price. And the remaining article ar sold at a price of 50% of the selling price. Express the shopkeeper profits as a percentage of his cost price

Answer 1

% profit = 12%

Given:

A shopkeeper buys 300 identical articles at a total cost of $1500 he sells 260 articles at a price that is 20 % above the cost price.

Remaining article is sold at a price that is 50 % of the selling price of each of the 260 articles.

To find:

Shopkeepers profit as a percentage of his cost price.

Explanation:

Price of 1 article = = $5

260 articles at a price that is 20 % above the cost price.

That is selling price of one article = $5 + ×5 = $6

Selling price of 260 article = $6 × 260 = $1560

Remaining article is sold at a price that is 50 % of the selling price of each of the 260 articles.

Remaining article Selling price = × 6 = $3

Remaining articles = 300 -260 = 40

Selling price of Remaining 40 articles = 40 × 3 = $120

Total selling price of 300 identical article = $1560 + $120 = $1680

Profit = Selling price - cost price = 1680 -1500 = $180

% profit = × 100 = 12%

Answer 2

Given :

• A shopkeeper buys 300 articles for $1500.

• He sold 260 articles at a price of 20 % above the cost price.

• And the remaining articles at a price of 50 % of the selling price.

To find :

• The shopkeeper's profit as a percentage of his cost price

According to the question :

Cost Price :

• Total no. of. articles = 300 articles

• At the cost of = $1500

$⟶$$\sf\:1\:article\:=\dfrac{1500}{300}$

$⟶$ ∴ 1 article = $5

Selling Price :

$⟶$ Selling Price of 1 article $\sf\:=5\:+\:\dfrac{20}{100}×\:5$= $6

$⟶$ Selling Price of 260 articles = 6 × 260 = $1560

$⟶$ Remaining Articles = $\sf\:=\dfrac{50}{100}×\:6$= 3

$⟶$ Remaining = Total - Sold

$⟶$ 300 - 260

$⟶$ 40 articles

$⟶$ ∴ Selling price of 40 articles = 40 × 3 = $120

And,

$⟶$ Total Selling price of 300 articles = 1560 + 120 = $1680

Finding profit :

$⟶$ Profit = Selling price - Cost price

$⟶$ 1680 - 1500

$⟶$ $180

Finding Profit Percentage :

$⟶$ Profit % $\sf\:=\dfrac{Profit}{Cost\:price}×\:100$

$⟶$ 180 / 1500 × 100

$⟶$ 12 %

∴ The shopkeeper's profit percentage = 12 %