Explanation:

Let’s break down the statements and see what they give us:

- Statement I: Gives the profit % on P (66?%) and loss % on Q (28?%).

- Alone, not enough, as no values are given.

- Statement II: Selling price of P = Q.

- Alone, too little info, as we don't know cost prices or total selling price.

- Statement III: Total selling price of P and Q = Rs.5000.

- Alone, not enough, as we don’t know their split or costs.

Combine I and II:

With % profit/loss and equal selling prices, you can set up equations. Let SP for each article be x, then use profit/loss formulas and "no profit, no loss" to solve for cost price of Q.

Combine I and III:

You know total SP and %s, but can’t split SP between P and Q.

Combine II and III:

You know total SP, and that both SPs are equal. Each SP = Rs 2500. Now, with either I (to use %s) or II (SP equality), you can find cost of Q.

- Option 3 is correct:

"III and either I or II only"

Because either you need % and equality (I & II), or total SP and one of % or equality (III & I/II).

All statements together (option 4):

Enough, but more than needed.

Any one alone or I & III (option 1):

Not sufficient, because you wouldn’t know how SP splits without II.

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Correct Answer: Option 3 - III and either I or II only.