A saleable article passes successively in the hands of three

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A saleable article passes successively in the hands of three traders. Each trader sold it further at a gain of 25% of the cost price. If the last trader sold it for Rs. 250 then what was the cost price for the first trader?

1. $ 128
2. $ 150
3. $ 192
4. $ 200

Correct Option: A

Let the actual C.P. be $ y .

y ×		125	×	125	×	125	= 250
		100		100		100

⇒ y ×		5	×	5	×	5	= 250
		4		4		4

⇒ y = 64 × 2 ⇒ y = $ 128