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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

Answer in Brief

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?

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#### Solution

$\text { Given, }$

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

$\text { Discount = 10 % }$

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

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

$= Rs . 756$

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

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

$= \frac{100}{126} \times 756$

$= Rs . 600$

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

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 13 Proft, Loss, Discount and Value Added Tax (VAT)
Exercise 13.2 | Q 12 | Page 26
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