Question

11/The cost price of an article is 90% of
selling price. What is the profit or the lost
percent?​

Answer 1

Answer:

• There is a profit and profit percent is 11.11 %.

Step-by-step explanation:

Given that:

• The cost price of an article is 90% of selling price.

To Find:

• What is the profit or the loss percent?

Let us assume:

• Selling price be ₹100.
• Cost price = 90% of selling price
• Cost price = 90% of ₹100
• Cost price = 90/100 × ₹100
• Cost price = ₹90

We know that:

When selling price is greater than the cost price then there is a profit.

✮ Profit = Selling price - Cost price ✮

• Profit = ₹100 - ₹90
• Profit = ₹10

And,

✮ Profit percent = (profit × 100)/Cost price % ✮

• Profit percent = (10 × 100)/90 %
• Profit percent = 1000/90 %
• Profit percent = 100/9 %
• Profit percent = 11 1⁄9 %
• Profit percent = 11.11 % (approx.)

Hence,

• There is a profit.
• Profit percent is 11.11 %.

Answer 2

Answer:

Given :-

• The cost price of an article is 90% of selling price.

To Find :-

• What is the profit or the lost percent.

Solution :-

Let,

$\mapsto$ Selling Price = Rs 100

Then, the cost price of an article will be :

$\implies \sf Cost\: Price =\: 90\% of\: S.P$

$\implies \sf Cost\: Price =\: \dfrac{90}{\cancel{100}} \times {\cancel{100}}$

$\implies \sf Cost\: Price =\: Rs\: 90$

$\implies \sf\bold{\green{Cost\: Price =\: Rs\: 90}}$

Now, as we know that :

$\bigstar$ The selling price (S.P) of an articles is greater than the cost price (C.P) then it will be a Profit.

So, as we know that :

$\clubsuit$ Profit Formula :

$\longmapsto \sf\boxed{\bold{\pink{Profit =\: S.P - C.P}}}$

where,

• S.P = Selling Price
• C.P = Cost Price

Given :

• Selling Price (S.P) = Rs 100
• Cost Price (C.P) = Rs 90

According to the question by using the formula we get,

$\implies \sf Profit =\: Rs\: 100 - Rs\: 90$

$\implies \sf Profit =\: Rs (100 - 90)$

$\implies \sf\bold{\purple{Profit =\: Rs\: 10}}$

Now, we have to find profit percentage of an article :

As we know that :

$\clubsuit$ Profit Percentage Formula :

$\longmapsto \sf\boxed{\bold{\pink{Profit\% =\: \bigg(\dfrac{Profit}{C.P} \times 100\bigg)\%}}}$

where,

• C.P = Cost Price

Given :

• Profit = Rs 10
• C.P = Rs 90

According to the question by using the formula we get,

$\dashrightarrow \sf Profit\% =\: \bigg(\dfrac{10}{9\cancel{0}} \times 10{\cancel{0}}\bigg)\%$

$\dashrightarrow \sf Profit\% =\: \bigg(\dfrac{10}{9} \times 10\bigg)\%$

$\dashrightarrow \sf Profit\% =\: \bigg(\dfrac{100}{9}\bigg)\%$

$\dashrightarrow \sf \bold{\red{Profit\% =\: 11.11\%(approx)}}$

$\therefore$ There will be a profit of 11.11%.