Book prices vary between Rs 200 and Rs 350 for purchases, and selling prices vary between Rs 300 and Rs 425. What is the greatest possible profit from selling 8 books under these ranges?

Introduction:
Range problems ask for extremal outcomes subject to stated bounds. When costs and selling prices are given as inclusive ranges, the maximum profit is achieved by choosing the minimum feasible cost and the maximum feasible selling price for each item independently, unless constraints link items across the set.

Given Data / Assumptions:

• For each book: purchase price is between Rs 200 and Rs 350.
• For each book: selling price is between Rs 300 and Rs 425.
• We assume books can be chosen within the stated ranges independently (no coupling constraints provided).

Concept / Approach:
To maximize profit per book, select the lowest allowable purchase price and the highest allowable selling price. Multiply the best per-book margin by the number of books to get the total maximum profit.

Step-by-Step Solution:
Best per-book margin = 425 - 200 = 225Number of books = 8Greatest possible profit = 8 * 225 = 1800

Verification / Alternative check:
Any selection with higher cost or lower selling price reduces the margin. Since no cross-book constraint is stated, the theoretical maximum of Rs 1800 is attainable in principle under the given ranges.

Why Other Options Are Wrong:

• Rs. 400 and Rs. 600: much smaller than the computed bound.
• Cannot be determined: incorrect because the ranges suffice to compute an extremum when independence is allowed.

Common Pitfalls:

• Assuming you must use every price in the range or that prices are linked across books, which is not stated.
• Using average prices rather than optimizing for extremes when asked for the greatest possible outcome.

Final Answer:
Rs 1800 (thus, None of these)