Question

A man bought sime fruits at the rate of 16 for rs. 24 and sold them at the rate of 8 for rs. 18 what is the profit percent​

Answer 1

Answer :-

• The profit percent is 50%

Given :-

• A man bought some fruits at the rate of 16 for Rs 24 and sold them at the rate of 8 for Rs 18.

To find :-

• The profit percent.

Step-by-step explanation :-

• Before finding the profit percent, we have to find the profit gained by the man on 1 fruit. Let's find the cost and selling price of 1 fruit first!

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Finding the cost price of 1 fruit :-

$\rm Cost \: price \: of \: some \: fruits = Rs \: 24$

$\rm Cost \: price \: of \: 1 \: fruit = \dfrac{24}{16} = Rs \: 1.5$

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Finding the selling price of 1 fruit :-

$\rm Selling \: price \: of \: some \: fruits = Rs \: 18$

$\rm Selling \: price \: of \: 1 \: fruit = \dfrac{18}{8} = Rs \: 2.25$

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• Now, let's find the profit gained by the man on 1 fruit!

We know that :-

$\underline{\boxed{\sf Profit = Selling \: Price - Cost \: Price}}$

Here,

• Selling price = Rs 2.25.
• Cost price = Rs 1.5.

Hence,

$\bf Profit = 2.25 - 1.5$

$\bf Profit = Rs \: 0.75$

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• Finally, let's find the profit percent!

We know that :-

$\underline{\boxed{\sf Profit \: \% = \dfrac{Profit}{Cost\: Price} \times 100}}$

Here,

• Profit = Rs 0.75.
• Cost price = Rs 1.5.

Hence,

$\tt Profit \: \% = \dfrac{0.75}{1.5} \times 100$

Multiplying 0.75 with 100,

$\tt Profit \: \% = \dfrac{75}{1.5}$

Dividing 75 by 1.5,

$\overline{\boxed{\tt Profit \: \% = 50\%}}$

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• Hence, there was a profit of 50%

Answer 2

$\small \bf {Given}$

A man bought sime fruits at the rate of 16 for rs. 24 and sold them at the rate of 8 for rs. 18 what is the profit percent?

$\small \pmb {Solution}$

Cost price of 1 fruit

Cost price of some fruits = Rs.24

Cost price of one fruit = 24/16 or 24÷16 = Rs .1.5

Selling price of 1 fruit

Selling price of some fruits = Rs.18

Selling price of 1 fruit = 18/8 or 18÷8 = RS.2.25

Now , we have to find the profit gained by the man in 1 fruit

Formula = Profit = Selling price - Cost price

Now

Selling price = RS.2.25

Cost price = Rs.1.5

So,

PROFIT = 2.25-1.5

= RS.0.75

Now we have to find the profit percentage.

Formula used :-

Profit % = Profit / Cost price

Now

PROFIT = RS.0.75

Cost price = Rs.1.5

Profit % = 0.75/ 1.5×100

After multiplying 0.75 × 100

We get 75/1.5

Divide 75 by 1.5

Profit % = 50%

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