Question 114

After allowing a 10% discount on the marked price ofan article, a dealer makesa profit of 5%. What is the marked price, if the cost price of the article is ₹300?

Solution

Let the marked price and Cost price be M and C respectively

According to question

$$ \dfrac {100-10}{100}\times M = \dfrac {100+5}{100} \times C $$

$$\Rightarrow \dfrac {9 M}{10}= \dfrac {105}{100} \times 300 $$

$$\Rightarrow \dfrac {9 M}{10 }= \dfrac {21}{20}\times 300 $$

$$\Rightarrow M = \dfrac {21}{20}\times 300 \times 10 \times \dfrac{1}{9}$$

$$\Rightarrow M = 350 $$ Ans

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