Question

The cost price of a movie ticket is Rs 1250, and it was sold for Rs 930. Then find the
profit or loss percentage.​

Answer 1

Answer :-

• The loss percentage of the movie ticket is 25.6%

Given :-

• The cost price of a movie ticket is Rs 1250.

• It was sold for Rs 930.

To find :-

• The loss percentage.

Solution :-

• Before finding the profit or loss percentage, let's find out whether there is a profit or loss!

We know that :-

• When the SP is greater than the CP, there is a profit.

• When the CP is greater than the SP, there is a loss.

We see that :-

• Here, the CP is greater than the SP, so there is a loss.

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• Now, let's find the loss!

We know that :-

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

Here,

• Cost price = Rs 1250.
• Selling price = Rs 930.

Hence,

$\boxed{\bf Loss = 1250 - 930}$

$\boxed{ \bf Loss = Rs \: 320}$

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• Finally, let's find the loss percentage!

We know that :-

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

Here,

• Loss = Rs 320.
• Cost price = Rs 1250.

Substituting the given values in this formula,

$\longmapsto\tt Loss \: \% = \dfrac{320}{1250} \times 100$

$\longmapsto\tt Loss \: \% = \dfrac{32 \!\!\!\not0}{125 \!\!\!\not0} \times 100$

$\longmapsto\tt Loss \% = \dfrac{32}{125} \times 100$

$\longmapsto\tt Loss \: \% = \dfrac{3200}{125}$

$\longmapsto\overline{ \boxed{ \tt Loss \: \% = 25.6\%}}$

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Hence :-

• The loss percentage of the movie ticket is 25.6%