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:

The shopkeeper gets profit and the profit percent is 10%.

Step-by-step explanation:

Let cost price of one shirt be Rs x.

GIVEN

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

• Then, Cost price of 11 shirts = Rs 11x
• Selling price of 10 shirts = Rs 11x
• Selling price of one shirt = Rs 11x/10 = Rs 1.1x

WE HAVE

• Selling price of one shirt = Rs 1.1x
• Cost price of one shirt = Rs x

HERE

• Selling price is greater than the cost price as Rs 1.1x is greater than x.

Therefore, Profit

FORMULA USED

1. Profit = SP - CP
2. Profit percent = (Profit × 100)/CP %

Where,

• Selling price = SP
• Cost price = CP

FINDING THE PROFIT

• Profit = SP - CP
• Profit = Rs (1.1x - x)
• Profit = Rs 0.1x

FINDING THE PROFIT PERCENT

• Profit percent = (Loss × 100)/CP %
• Profit percent = (0.1x × 100)/x %
• Profit percent = 10x/x %
• Profit percent = 10%

Answer 2

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,

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

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

⇒ $\sf Profit\% =\: \dfrac{10}{1}$

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

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