Question

If a seller proposes to sell his goods at the cp but uses a fake mask of 960gm for 1kg. find his gain percentage.

Please friends answer it. its very urgent. ​

Answer 1

Given:-

• A seller proposes to sell his goods at the Cost Price but uses a fake mass of 960 gm for 1 kg.

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Need to find:-

• Gain percentage = ?

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Solution:-

☯ Let the Cost price of 1 kg be ₹100

• As he proposes to sell the product at Cost price his selling price for 1 kg is ₹100⠀

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[ Refer to the attachment ]

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$\implies \sf \dfrac{1000}{960} \: = \dfrac{100}{x}$

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$\implies \sf x = \dfrac{100 \times 960}{1000} \: = \dfrac{100}{x}$

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$\implies \large\boxed{\frak{\pink{x = 96}}}$

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• By substituting the values, we got the value Cost price as 96.

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* C.P. = ₹96 and S.P = ₹100

→ Gain = S.P. - C.P.

→ Gain = 100 - 96

→ Gain = ₹4⠀

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We know that,

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$\large\boxed{\sf{\red{Gain \% = \dfrac{Gain}{C.P.} \times 100}}}$

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Putting the values,

$\implies \sf \dfrac{4}{96} \times 100$

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$\implies \sf \dfrac{25}{6}\ \%$

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$\implies \large\boxed{ \frak{ \purple{ 4 \: \frac{1}{6} \: \%}}}$

Hence,

• The Gain % is $\bf \: 4 \: \dfrac{1}{6} \: \%$

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Note :

• C.P. denotes Cost price
• S.P. denotes Selling price