Quantitative Aptitude Ques 1544

Question: A trader marks his product 30% above cost price. He sells the product and allows 10% trade discount. In order to ensure prompt payment he further gives cash discount of 10%. If he makes Rs. 106 profit from the transaction. Find the cost price of the product

Options:

A) Rs. 1800

B) Rs. 2000

C) Rs. 1600

D) Rs. 2400

Show Answer

Answer:

Correct Answer: B

Solution:

  • (b) Let the $ CP=x, $ $ MP=\frac{130x}{100}=\frac{13x}{10} $ We gives, two successive discounts of 10% and 10% on $ \frac{13x}{10}. $

$ \therefore $ $ SP=\frac{90}{100}\times \frac{90}{100}\times \frac{13x}{10}=\frac{1053x}{1000} $ $ \because $ Gain = Rs. 106

$ \therefore $ $ ( \frac{1053x}{1000}-x )=106 $
$ \Rightarrow $ $ \frac{53x}{1000}=106 $

$ \Rightarrow $ $ x=\frac{106\times 1000}{53} $
$ \Rightarrow $ $ x=Rs\text{. 2000} $