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If the Selling Price of 18 Oranges is Equal to the Cost Price of 16 Oranges, Find the Loss Percent.

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प्रश्न

If the selling price of 18 oranges is equal to the cost price of 16 oranges, find the loss percent.

संक्षेप में उत्तर
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उत्तर

\[\text { Let the cost price of one orange be Rs . C, and its selling price be Rs  }. S\]

\[\text { Therefore,} 16C = 18S\]

\[C = \frac{18}{16}S\]

\[\text { As cost price is more than the selling price, } \]

\[S . P . = \left( \frac{100 - \text { loss % }}{100} \right)C . P\]

\[S = \left( \frac{100 - \text { loss % }}{100} \right)C\]

\[\frac{S}{C} = \left( \frac{100 - \text { loss % }}{100} \right)\]

\[\frac{16}{18} = \left( \frac{100 - \text { loss % }}{100} \right)\]

\[\frac{1600}{18} = 100 -\text {  loss % }\]

\[\text { Loss % } = 100 - \frac{1600}{18}\]

\[\text { Loss % }= \frac{1800 - 1600}{18}\]

\[ = \frac{200}{18} = \frac{100}{9}\]

\[ = 11\frac{1}{9}\]

\[\text { Therefore, the loss percent is 11 }\frac{1}{9}  . \]%

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