Multiple choice

Two varieties of salt, T and S, costing Rs. 25 and Rs. 35 per kg, respectively, are mixed in the ratio of 4 to 6. The mixed variety is sold at Rs. 37 per kg. What is the approximate profit percentage (rounded off)?

  1. 19%

  2. 33%

  3. 25%

  4. 38%
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A Correct answer
Explanation

The cost of 4 kg of T is 4 * 25 = 100, and 6 kg of S is 6 * 35 = 210. Total cost for 10 kg is 310, so cost price per kg is 31. Selling price is 37. Profit percentage is ((37 - 31) / 31) * 100 which is approximately 19.35%.

AI explanation

The cost of the mixture is found by multiplying the quantities by their respective costs and dividing by the total quantity, giving 4 times 25 plus 6 times 35 divided by 4 plus 6. This equals 100 plus 210 divided by 10, resulting in a cost price of Rs. 31 per kg. The mixture is sold for Rs. 37 per kg, so applying the profit percentage formula, we get 37 minus 31 divided by 31 multiplied by 100, which equals 19.35 percent and approximates to 19 percent.

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