A dishonest dealer defrauds to the extent of x % in buying as well as selling his goods by using faulty weight. What will be the gain percent on his outlay?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. None of these.
Suppose the cost price of 100kg is Rs. 100
So,
CP of 100 kg for dishonest dealer
= 100 × (100 – x)/100
= (100 – x)
And
SP of 100 kg for dishonest dealer
= 100 × (100 + x)/100
= (100 + x)
Hence,
Profit = (100 + x – 100 + x) = 2x
Hence,
Profit percentage
= [2x/(100 – x)] × 100%