Question

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If CP of 9 articles is equal to the SP of 5 articles, find the gain percentage.

*CP - Cost Price ; SP - Selling Price​

Answer 1

Answer:

Gain percentage is 80%.

Step-by-step explanation:

Let the cost price of one article be Rs.x

Therefore,

Cost price of 9 article = 9x

Cost price of 5 articles = 5x

Given that the selling price of 5 articles is equal to the cost price of 9 articles.

∴ Selling price of 5 articles = 9x

Now, as we know that,

Gain %= (selling price−cost price/cost price) ×100

∴Gain%=

$(\frac{9x - 5x}{5x} \times 100) \\ = ( \frac{4x}{5x} \times 100) \\ = (4 \times 20)\% \\ = 80\%$

Hence the gain % is 80%.

Answer 2

Heya!

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FORMULAS USED IN

THIS QUESTION

• Gain % = ${\frac{Gain}{CP}}$ × 100
• Gain = CP - SP

ANSWER

Let CP of each article be x

∴ CP of 9 articles = 9x

${\: \: \:} CP of 5 articles = 5x</p><p></p><p></p><p>According to question, we know that CP of 9 articles, and SP of 5 articles is equal.</p><p></p><p>∴ 9x = 5x</p><p></p><p></p><p>Now lets apply the formula for gain/profit percentage.</p><p></p><p>Gain % = [tex]{\frac{Gain}{CP}}$ × 100

${\: \: \: \: \: \:} = [tex]{\frac{CP-SP}{CP}}$ × 100

${\: \: \: \: \: \:} = [tex]{\frac{9x-5x}{5x}}$ × 100

${\: \: \: \: \: \:} = [tex]{\frac{4x}{5x}}$ × 100

${\: \: \: \: \: \:} = 4 × 20</p><p>[tex]{\: \: \: \: \: \:} = 80 %</p><p></p><p>[tex]\huge\bold{\boxed{\boxed{∵ Gain%=80% }}}$

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Hope this helps ya! ♡

~Jahnavi♪♫