मराठी

A Shopkeeper Marks His Goods at 40% Above the Cost Price but Allows a Discount of 5% for Cash Payment to His Customers. What Actual Profit Does He Make, If He Receives Rs 1064 After Paying - Mathematics

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प्रश्न

A shopkeeper marks his goods at 40% above the cost price but allows a discount of 5% for cash payment to his customers. What actual profit does he make, if he receives Rs 1064 after paying the discount?

थोडक्यात उत्तर
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उत्तर

\[\text { Let the original cost price of the item be Rs . x } . \]

\[\text { MP = x } + \frac{40x}{100} = 1 . 4x\]

\[\text { Discount = MP - SP }\]

\[MP - \frac{\text { Discount % } \times MP}{100} = SP\]

\[1 . 4x - \frac{5 \times 1 . 4x}{100} = 1064\]

\[\frac{1 . 4x \times 100 - 5 \times 1 . 4x}{100} = 1064\]

\[\text { So, x }\left( 1 . 4 \right)\left( 0 . 95 \right) = 1064\]

\[x = \frac{1064}{\left( 1 . 4 \times 0 . 95 \right)}\]

\[ = \frac{1064}{1 . 33}\]

\[ = Rs . 800\]

\[\text { Profit = Rs } . (1064 - 800)\]

\[ = \text { Rs }. 264\]

\[\text { Thus, the actual profit by the shopkeeper is Rs } . 264 . \]

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

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आरडी शर्मा Mathematics [English] Class 8
पाठ 13 Proft, Loss, Discount and Value Added Tax (VAT)
Exercise 13.2 | Q 14 | पृष्ठ २६

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