Question

I purchased 11 articles for ₹10 and sold all at the rate of 10 for ₹11 find profit percent​

Answer 1

$\huge\bold{QUESTION}$

✧I purchased 11 articles for ₹10 and sold all at

the rate of 10 for ₹11. Find Profit Percent.

$\huge\bold{ANSWER}$

GIVEN:

• CP of 11 articles is = ₹10
• SP of 10 articles is =₹11

SOLUTION:

So, CP of 11 articles= ₹10

➜SP of 10 articles=₹11

From Unitary Method

➜SP of 1 article= ₹$\frac{11}{10}$

➜SP of 11 articles

$</strong><strong>=</strong><strong>11 \times \</strong><strong>d</strong><strong>frac{11}{10} \\ = \</strong><strong>d</strong><strong>frac{121}{10} \\ = 12.1$

➜So From Above We Found That,

SP of 11 articles is ₹12.1

CP of 11 articles is ₹10

➜Hence in the case, he has made a profit

Profit Made by him= SP-CP

=₹12.1-₹10

= ₹2.1

Profit Percentage Formula $= \dfrac{profit}{</strong><strong>CP</strong><strong>} \times 100\%$

Hence Putting Values in Formula,

Profit% $= \</strong><strong>d</strong><strong>frac{2.1}{10} \times 100\% \\ = 21\%$

ADDITIONAL INFORMATION

UNITARY METHOD

✧The method of finding out the value of one unit and further using it to find the value of multiple units is known as the unitary method.

➜There are two types of unitary methods based

on the variations:

• Direct Variation
• Direct VariationIndirect Variation

➜Example

Find the price of 100 balls, if the price of 20 balls is given to us as Rs.100.

In this case, we will first find the price of 1 ball and multiply it by 100.

Therefore,Price of 1 ball = 100/20 = 5

Price of 100 balls = 100 x 50 = Rs.500

Hence, we got the price of 100 balls using the unitary method.

COST PRICE AND SELLING PRICE

➜Cost Price(CP)

The amount paid to purchase an article or the price at which an article is made is known as its cost price. ...

➜Selling Price(SP)

The price at which an article is sold is known as its selling price

➜If SP>CP, Then in the case there is Profit

Profit=SP-CP

Profit Percentage $= \</strong><strong>d</strong><strong>frac{</strong><strong>SP</strong><strong> - </strong><strong>CP</strong><strong>}{</strong><strong>CP</strong><strong>} \times 100\%$

➜If SP<CP, Then in the case there is Loss

Loss= CP-SP

Loss percentage $= \</strong><strong>d</strong><strong>frac</strong><strong>{CP - SP}{CP</strong><strong>} \times 100\%$

╬HOPE IT HELPS╬