Multiple choice

Products pass successively through the hands of three traders and each of them sells his goods at a profit of 30% of his cost price. If the last trader sold the products for Rs. 300, then how much did the first trader pay for them?

  1. Rs. 330.55 (approx.)

  2. Rs. 136.55 (approx.)

  3. Rs. 240.55 (approx.)

  4. Rs. 137.55 (approx.)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the initial price be P. P * 1.3 * 1.3 * 1.3 = 300. P * 2.197 = 300. P = 300 / 2.197 = 136.55.

AI explanation

Using the successive selling price formula where the final price equals Cost Price x (100 + profit percentage)/100 for each stage, let the initial cost price be P. This gives the equation 300 = P x 1.30 x 1.30 x 1.30. Simplifying the right side gives 300 = P x 2.197, so P = 300 / 2.197 = Rs. 136.55.

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