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A Cycle Dealer Offers a Discount of 10% and Still Makes a Profit of 26%. What is the Actual Cost to Him of a Cycle Whose Marked Price is Rs 840? - Mathematics

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प्रश्न

A cycle dealer offers a discount of 10% and still makes a profit of 26%. What is the actual cost to him of a cycle whose marked price is Rs 840?

थोडक्यात उत्तर
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उत्तर

\[\text { Given, } \]

\[\text { MP of the cycle = Rs } . 840 \]

\[\text { Discount = 10 % } \]

\[\text { So, SP = MP } \times \left( \frac{100 - \text { Discount % }}{100} \right)\]

\[ = 840 \times \left( \frac{100 - 10}{100} \right)\]

\[ = Rs . 756\]

\[\text { Now, SP = Rs . 756 and Gain = 26 % } \]

\[\text { So, CP }= \frac{100}{100 +\text {  Gain % }} \times 756\]

\[ = \frac{100}{126} \times 756\]

\[ = Rs . 600\]

\[\text { Hence, the actual cost of the cycle is Rs } . 600 .\]

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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 12 | पृष्ठ २६

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SI. No C.P.
in ₹
M.P.
in ₹
S.P.
in ₹
Discount
in ₹
Profit
in ₹
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in ₹
(i) 110 130   Nil    
(ii) 110 130   10    
(iii) 110 130   30    
(iv) 110 120     Nil 10
(v)   120   10 20 Nil

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Column I Column II
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nd period = 2 years
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