Question : A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is:
Option 1: Rs. 1200
Option 2: Rs. 1205
Option 3: Rs. 1250
Option 4: Rs. 1275
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: Rs. 1250
Solution :
Let the cost price of the cycle be Rs. $x$.
Selling price when loss is $10$% $=\frac{100- \text {Loss percentage}}{100}$ × Cost price = $\frac{90x}{100}$
Selling Price when profit is $6$% $= \frac{100 + \text {Profit percentage}}{100}$ × Cost price = $\frac{106x}{100}$
Difference between the two selling prices $=\frac{106x}{100}-\frac{90x}{100} = \frac{16x}{100}$
So, $\frac{16x}{100} = 200$
⇒ $x = \frac{20000}{16}$
$\therefore x$ = Rs. 1250
Hence, the correct answer is Rs. 1250.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
