Question

find the cost price of an article which is sold for rupees 4050 a a loss of 10% Also, find the new selling price of the article which must give a profit of 8%​

Answer 1

Answer:

cp = 4050 × 100 / 90

cp = 4500

New selling price = 4500 × 108 / 100

selling price = 45 × (100 + 8)

selling price = 4500 + 360 = 4860

Answer 2

$\huge\sf\pink{Answer}$

☞ CP = 4500

☞ SP² = 4860

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$\huge\sf\blue{Given}$

✭ An article is sold for ₹4050

✭ Loss% = 10%

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$\huge\sf\gray{To \:Find}$

◈ The cost price?

◈ The selling price if the seller had to gain a profit of 8%?

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$\huge\sf\purple{Steps}$

We know that,

$\underline{\boxed{\sf CP = \dfrac{SP\times 100}{100-Loss\%}}}$

• SP = 4050
• Loss% = 10%

Substituting the given values,

➝ $\sf CP = \dfrac{4050\times 100}{100-10}$

➝ $\sf CP = \dfrac{405000}{90}$

➝ $\sf CP = \dfrac{40500}{9}$

➝ $\sf \red{CP = Rs \ 4500}$

Now that we know the value of CP we may find the SP for case 2, which is given by,

$\sf \underline{\boxed{\sf SP = CP+Profit}}$

• CP = 4500
• Profit = 8%

Substituting the values,

➳ $\sf SP = 4500 + \dfrac{8}{100} \times 4500$

➳ $\sf SP = 4500+8\times 45$

➳ $\sf SP = 4500+360$

➳ $\sf\orange{SP = 4860}$

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