Question: A buys an article and sells it to B at a profit of 10%, B sell it to C gaining 20% and C pays Rs. 1848 for the article. Find the cost price for A.
Options:
A) Rs. 1400
B) Rs. 1428
C) Rs. 1560
D) Rs. 1540
Show Answer
Answer:
Correct Answer: A
Solution:
- Let the CP for $ A=Rs\text{. }x $
Cost price (CP) for $ B=\frac{100+10}{100}\times x=\frac{110}{100}\times x $
Cost price (CP) for $ C=\frac{120}{100}\times \frac{110}{100}x $
Since, C pays Rs. 1848 for the article
$ \therefore $ $ \frac{120}{100}\times \frac{110}{100}\times x=1848 $
$ \Rightarrow $ $ x=\frac{1848\times 100\times 100}{120\times 110} $
$ \Rightarrow $ $ x=Rs\text{. 1400} $