Question : Piyush sold a guitar to Anuj at a 16% gain and Anuj sold it to Mayank at a 32% gain. If Mayank paid Rs.3,828 for the guitar, what amount did Piyush pay for the same?
Option 1: Rs. 2,500
Option 2: Rs. 3,200
Option 3: Rs. 1,600
Option 4: Rs. 2,800
Correct Answer: Rs. 2,500
Solution :
Piyush sold a guitar to Anuj at a 16% gain and Anuj sold it to Mayank at a 32% gain. Mayank paid Rs. 3,828 for the guitar.
Final percentage change after two successive increments of A% and B% = $(A+B+\frac{AB}{100})$%
The net percentage profit from Piyush to Mayank = $(16+32+\frac{16 \times 32}{100})$% = 53.12%
Selling Price = Cost Price × (100 + Gain%)
Now, the cost price of the guitar to Piyush = $\frac{3828}{100+53.12}\times 100 $ = Rs. 2500
∴ Piyush paid Rs. 2500 for the guitar.
Hence, the correct answer is Rs. 2500.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
