Multiple choice

Ravi, a gadget shop owner, sells a tablet for Rs. 6,000 and notices that the profit he makes is only 15% of the profit he would make if he sold the same tablet for Rs. 9,000. Based on this information, what is the approximate cost price of the tablet?

  1. Rs. 4,750

  2. Rs. 5,470

  3. Rs. 5,740

  4. Rs. 7,540
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be x. Profit at 6000 is (6000-x). Profit at 9000 is (9000-x). Given (6000-x) = 0.15 * (9000-x). 6000 - x = 1350 - 0.15x. 4650 = 0.85x. x = 4650 / 0.85 = 5470.58.

AI explanation

Let the cost price be C, so the profit at a selling price of 6000 is 6000 minus C, and the profit at 9000 is 9000 minus C. The problem states that the first profit is 15% of the second, giving the equation 6000 minus C equals 0.15 times the quantity 9000 minus C. Solving this equation yields 0.85 times C equals 4650, so the cost price is approximately Rs. 5470.

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