At a farmers' market, Ravi sells two varieties of cheese, X and Y, at the same price per kilogram. On variety X, he makes a 15% profit, while on variety Y, he suffers a 25% loss. Later, he raises the selling price so that X and Y are still sold at an equal price, but this time, he makes a 5% profit on variety Y. What is the approximate profit percentage on variety X at the new price?

Let the initial equal selling price be 100. The cost price of X is 100/1.15 = 86.96, and the cost price of Y is 100/0.75 = 133.33. When the price is raised to make a 5% profit on Y, the new selling price becomes 133.33 x 1.05 = 140. Using this new selling price, the profit percentage on X is ((140 - 86.96) / 86.96) x 100 = 61%.

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