Question

If the selling price of 15 toys is equal to cost price of 12 toys.Find the loss percent.​

Answer 1

Step-by-step explanation:

Formula to calculate cost price if selling price and profit percentage are given: CP = ( SP * 100 ) / ( 100 + percentage profit).

Formula to calculate cost price if selling price and loss percentage are given: CP = ( SP * 100 ) / ( 100 – percentage loss ).

Answer 2

${\huge{\red{\underline{\underline{Answer:-}}}}}$

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Loss Percent = 20%

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${\huge{\red{\underline{\underline{Solution:-}}}}}$

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Let the cost price of 1 toy = Rs x

Then, cost price of 12 toys = Rs 12x

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${\underline{\underline{\red{\sf According \: to \: Statement}}}}$

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Selling price of 15 toys = cost price of 12 toys

∴ Selling price of 15 toys = Rs 12x

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So, selling price of 1 toy= $\sf \frac{\cancel{12}^{4} x}{\cancel{15_{5}}}$

$\sf =\frac{4x}{5}$

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We know that,

$\red{\sf Loss=C.P.-S.P}$

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$\sf ∴ Loss = x - (\frac{4x}{5})$

$\sf Loss = \frac{5x}{5} - \frac{4x}{5}$

$\sf Loss = \frac{5x-4x}{5}$

$\sf Loss = Rs \frac{x}{5}$

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We know that,

$\red{\sf Loss \: percent= \frac{Loss}{C.P} \times 100}$%

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$\sf ∴ Loss \: percent = \frac{ \frac{x}{5} }{x} \times 100$%

$\sf Loss \: percent =\frac{x}{5x} \times 100$%

$\sf Loss \: percent =\frac{1}{\cancel{5}} \times \cancel{100}$%

$\sf Loss \: percent =20$%

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$\red{\sf Therefore, \: Loss \: percent = 20}$%