Question

The cost price of 20 articles is the same as the selling price
of x articles. The value of x is
(given
profit =20%). please ans​

Answer 1

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

$\:\:$

$\large{\green{\underline \bold{\tt{Given :-}}}}$

$\:\:$

• The cost price of 20 articles is the same as the selling price of x articles

$\:\:$

• Profit is 20%

$\:\:$

$\large{\red{\underline \bold{\tt{To \: Find :-}}}}$

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• The value of "x"

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$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

• Let Cost price of each article be Rs. 1

$\:\:$

$\underline{\bold{\texttt{Cost price of x articles :}}}$

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➜ x × 1

$\:\:$

➠ Rs. x

$\:\:$

$\underline{\bold{\texttt{Selling price of x articles :}}}$

$\:\:$

➠ Rs. 20

$\:\:$

➠ Profit = Selling price - Cost price

$\:\:$

➠ Profit = Rs. (20 - x)

$\:\:$

$\underline{\bold{\texttt{Profit percentage :}}}$

$\:\:$

➠ $\sf \dfrac { Profit } { Cost \ Price } \times 100$ ------ (1)

$\:\:$

• Profit = (20 - x)

• Cost price = x

• Profit percent = 25

$\:\:$

⟮ Putting these values in (1) ⟯

$\:\:$

➠ $\sf \dfrac { Profit } { Cost \ Price } \times 100$

$\:\:$

➜ $\sf \dfrac { 20 - x } { x } \times 100 = 25$

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➜ 2000 − 100x = 25x

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➜ 125x = 2000

$\:\:$

➜ $\sf x = \dfrac { 2000 } { 125 }$

$\:\:$

➨ x = 16

$\:\:$

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Answer 2

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

$\:\:$

$\large{\green{\underline \bold{\tt{Given :-}}}}$

$\:\:$

• The cost price of 20 articles is the same as the selling price of x articles

$\:\:$

• Profit is 20%

$\:\:$

$\large{\red{\underline \bold{\tt{To \: Find :-}}}}$

$\:\:$

• The value of "x"

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

Let Cost price of each article be Rs. 1

$\:\:$

$\underline{\bold{\texttt{Cost price of x articles :}}}$

$\:\:$

➜ x × 1

$\:\:$

➠ Rs. x

$\:\:$

$\underline{\bold{\texttt{Selling price of x articles :}}}$

$\:\:$

➠ Rs. 20

$\:\:$

➠ Profit = Selling price - Cost price

$\:\:$

➠ Profit = Rs. (20 - x)

$\:\:$

$\underline{\bold{\texttt{Profit percentage :}}}$

$\:\:$

➠ $\sf \dfrac { Profit } { Cost \ Price } \times 100$ ------ (1)

$\:\:$

Profit = (20 - x)

Cost price = x

Profit percent = 25

$\:\:$

⟮ Putting these values in (1) ⟯

$\:\:$

➠ $\sf \dfrac { Profit } { Cost \ Price } \times 100$

$\:\:$

➜ $\sf \dfrac { 20 - x } { x } \times 100 = 25$

$\:\:$

➜ 2000 − 100x = 25x

$\:\:$

➜ 125x = 2000

$\:\:$

➜ $\sf x = \dfrac { 2000 } { 125 }$

$\:\:$

➨ x = 16

$\:\:$

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