Question

I have a total of Rs. 1,000. Item A costs Rs. 110, item B costs Rs. 90, item C costs Rs. 70, item D costs Rs. 40 and item E costs Rs. 45. For every item D that I purchase, I must also buy two of item B. For every item A, I must buy one of item C. For every item E, I must also buy two of item D and one of item B. For every item purchased I earn 1,000 points and for every rupee not spent I earn a penalty of 1,500 points. My objective is to maximise the points I earn.
What is the number of items that I must purchase to maximise my points?

• A. 13
• B. 14
• C. 15
• D. 16

Hint:

For maximisation under constraints, check cheapest-per-point items first, then verify dependencies and total cost.

Answer 1

The Correct Option is D

We aim for highest items per rupee ratio. Cheapest item is D (Rs. 40), but requires 2B if E chosen. Compute combinations respecting constraints; maximum net points occurs at 16 items, within Rs. 1000.