Multiple choice

Kajal sells a dog to Anu at a profit of 20%. Anu sells it to Sumit for Rs. 69 at a profit of 38%. What profit percent would Kajal have made if she had sold it directly to Sumit for Rs. 69?

  1. 65.6

  2. 55.5

  3. 45.3

  4. None of these
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A Correct answer
Explanation

Kajal to Anu: CP_K = 100, SP_K = 120. Anu to Sumit: CP_A = 120, Profit = 38% of 120 = 45.6. SP_A = 120 + 45.6 = 165.6. Given SP_A = 69. So 165.6 units = 69, 1 unit = 69/165.6 = 0.4166. CP_K = 100 * 0.4166 = 41.66. If Kajal sold to Sumit for 69, profit = 69 - 41.66 = 27.34. Profit % = (27.34 / 41.66) * 100 = 65.6%.

AI explanation

Using the successive selling price formula, Kajal's cost price is 69 / (1.20 * 1.38) = 41.66. If she sold directly for 69, her profit would be 69 - 41.67 = 27.33. The profit percentage is (27.33 / 41.67) * 100 = 65.6%. The result is 65.6%.

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