Question : The reduction of Rs. 12 in the selling price of an article will change a 5% gain into $2\frac{1}{2}$% loss. The cost price of the article is:
Option 1: Rs. 140
Option 2: Rs. 160
Option 3: Rs. 80
Option 4: Rs. 100
Correct Answer: Rs. 160
Solution :
Let the cost price be $x$
Gain = 5%
Selling Price = $\frac{105x}{100}$
New selling price = $\frac{105x}{100} - 12$
Now there is a loss of 2.5%
So, $x \times \frac{100-2.5}{100} = \frac{105x}{100} - 12$
⇒ $\frac{97.5x}{100} = \frac{105x}{100} - 12$
⇒ $97.5x = 105x - 1200$
⇒ $7.5x = 1200$
⇒ $x =160$
Hence, the correct answer is Rs. 160.
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Get Updates Brochure
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC MTS
