Question

10. If the cost price of 11 shirts is equal to the selling price of 10 shirts, find the percentage profit or loss.​

Answer 1

Answer:

Given :-

The cost price of 11 shirt is equal to the selling price of 10 shirts.

To Find :-

What is the percentage profit or loss.

Solution :-

Let, the cost price of one shirt be x

Then, cost price of 11 shirt be 11x

And, the cost price of 10 shirts will be 10x

Hence,

↛ Selling Price of 10 shirts = Cost Price of 11 shirts

Then, Selling Price of 10 shirts = 11x

As we know that,

✧ Selling Price is greater than Cost Price ✧

Hence, there will be profit.

Again, we know the,

✯ $\sf\boxed{\bold{\small{Profit =\: S.P - C.P}}}$ ✯

where,

S.P = Selling Price

C.P = Cost Price

Given :

Selling Price = 11x

Cost Price = 10x

According to the question by using the formula we get,

↪ Profit = 11x - 10x

➦ Profit = x

Now, we have to find profit percentage,

As we know that,

★ $\sf\boxed{\bold{\small{Profit\% =\: \dfrac{Profit}{C.P} \times 100}}}$ ★

where,

C.P = Cost Price

Given :

Profit = x

Cost Price = 10x

According to the question by using the formula we get,

⇒ $\sf Profit\% =\: \dfrac{\cancel{x}}{10\cancel{x}} \times 100$

⇒ $\sf Profit\% =\: \dfrac{10\cancel{0}}{1\cancel{0}}$

⇒ $\sf Profit\% =\: \dfrac{10}{1}$

➠ $\sf\bold{\purple{Profit\% =\: 10\%}}$

${\underline{\boxed{\small{\bf{\therefore It\: is\: a\: profit\: and\: profit\: percentage\: is\: 10\%\: .}}}}}$