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After Allowing a Discount of 20% on the Marked Price of a Lamp, a Trader Loses 10%. by What Percentage is the Marked Price Above the Cost Price? - Mathematics

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प्रश्न

After allowing a discount of 20% on the marked price of a lamp, a trader loses 10%. By what percentage is the marked price above the cost price?

संक्षेप में उत्तर
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उत्तर

\[\text { Let the CP of the lamp be Rs } . 100 . \]

\[\text { Loss = 10 % of CP = Rs } . 10\]

\[\text { So, SP = CP - Loss = Rs . 100 - Rs . 10 = Rs } . 90\]

\[\text { The trader allows a discount of 20 % } . \]

\[\text { This means that when the MP is Rs . 100, the SP will be Rs } . 80 . \]

\[\text { Now }, \]

\[\text { If Rs . 80 is the SP, the MP = Rs } . 100\]

\[\text { If Re . 1 is the SP, the M . P = Rs } . \frac{100}{80}\]

\[\text { If Rs . 90 is the SP, the MP = Rs }. \left( \frac{100}{80} \times 90 \right) = Rs . 112 . 50\]

\[\text { Hence, the trader marks his goods at 12 . 5 % above the cost price } .\]

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अध्याय 13: Proft, Loss, Discount and Value Added Tax (VAT) - Exercise 13.2 [पृष्ठ २६]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 13 Proft, Loss, Discount and Value Added Tax (VAT)
Exercise 13.2 | Q 17 | पृष्ठ २६

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