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% =
The net percentage profit from Piyush to Mayank =
Selling Price = Cost Price × (100 + Gain%)
Now, the cost price of the guitar to Piyush =
∴ Piyush paid Rs. 2500 for the guitar.
Hence, the correct answer is Rs. 2500.
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