A dealer marks his goods 30% above his cost price and then allows 15% discount on it. What is the cost price of an article on which he gains Rs.84?
Correct Answer: Description for Correct answer:
Let cost price of an article = Rs.x
Therefore, Marked price of an article
= \( \Large \frac{x \times \left(100+30\right) }{100}= Rs.\frac{13x}{10} \)
= SP of the article = \( \Large \frac{13x}{10} \times \frac{ \left(100-15\right) }{100} \)
= \( \Large \frac{13x}{10} \times \frac{85}{100}=Rs.\frac{221x}{200} \)
Therefore, Profit = \( \Large \left(\frac{221}{200}x-x\right) \)
= 84 = \( \Large \frac{221x - 200x}{200} \)
Therefore, x = \( \Large \frac{200 \times 84}{21} \) = Rs.800
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