Multiple choice general knowledge math & puzzles

A shop keeper sold a T.V set for Rs.17,940 with a discount of 8% and earned a profit of 19.6%.What would have been the percentage of profit earned if no discount was offered?

  1. 0.248

  2. 0.25

  3. 0.264

  4. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the marked price be $M$ and cost price be $C$. The selling price with an 8% discount is $0.92M = 17940$, so $M = 19500$. The profit is 19.6%, meaning $1.196C = 17940$, so $C = 15000$. If no discount is offered, the selling price is $M = 19500$. The profit would be $(19500 - 15000)/15000 = 0.30$ or 30%. Since 30% is not listed among the numerical options, 'None of these' is correct.