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} $