Question

Q10. By selling 125 books a man gains an amount equal to the selling price of 5 books. Find his gain percent ​

Answer 1

SOLUTION:

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ANSWER:

• Gain % of the man = 4.16%

GIVEN:

• By selling 125 books a man gains an amount equal to the selling price of 5 books.

TO FIND:

• Find his gain percent ?

SOLUTION:

Let the selling price of each book be x

Total sale = 125x

Profit = 5x

FORMULAE TO FIND:

Cost = Sales - Profit

SOLVING BY APPLYING THE FORMULA:

=> 125x - 5x

• Subtract.

=> 120x

Profit % = 5x/120x × 100

• Divide 5 by 125 and cancel it , Cancel x.

=> 0.0416 × 100

• Multiply this.

=> 4.16%

Hence , 4.16% is the gain percent of the man.

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Answer 2

${\large{\underbrace{\underline{\sf{\maltese\:Question:-}}}}}$

Q) By selling 125 books , a man gains an amount equal to the selling price of 5 books. Find his gain percent.

${\large{\underbrace{\underline{\sf{\maltese\:Answer\checkmark}}}}}$

$\underline{\underline{\frak{\dag\:Given:}}}$

• 125 books are sold.
• The man gains an amount equal to the selling price of 5 books.

$\underline{\underline{\frak{\dag\:To\:Find:}}}$

• The Gain Percent = ?

$\underline{\underline{\frak{\dag\:Solution:}}}$

• Let the Selling Price (SP) of a book = x

So,

${\textit{\textbf{According\:to\:the\:Question}}}$

• Gain = 5×x = 5x

${\textit{\textbf{Finding\:the\:Cost\:Price\:(CP)}}}$

:$\implies$ Cost Price = Selling Price - Gain

:$\implies$ Cost Price = 125x - 5x

:$\implies$ Cost Price = 120x .

${\textit{\textbf{Finding\:Gain\:Percent}}}$

$\sf \rightarrow \: gain \: \% = \frac{gain}{cost \: price} \times 100 \\ \\ \colon \rightarrow \sf \: gain \: \% = \frac{ \cancel{5x}}{ \cancel{120x} } \times 100 \: \\ \\ \colon \rightarrow \sf \: gain \: \% = \frac{1}{ \cancel{24}} \times \cancel{1 00} \: \% \\ \\ \colon \rightarrow \sf \: \underline{ \boxed{ \red{ \frak{gain \: \% = \rm\frac{25}{6} \: \%}}}} \\ \\ \tt \: or \: \\ \\ \colon \rightarrow \: \underline{ \boxed{ \pink{ \frak{gain \: \% = \rm \: 4.166 \: \%}}}}$

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${\underline{\underline{\frak{\dag\:Formula\:Used:}}}}$

$\boxed{ \begin{array}{c} \rm \: cost \: price = selling \: price - gain \: \\ \\ \rm \: gain \: \% = \dfrac{gain}{cost \: price} \times 100 \end{array}}$

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