A sweet maker made 620 sweets at a cost of 80 paise per sweet. Out of these, 120 sweets got spoiled and he sold rest of the sweets in such a way, that when he sold 400 sweets, he would make a profit of 50% on the total cost of 620 sweets. Find his actual profit percentage on the total outlay.

The total cost is 620 sweets multiplied by 0.80, equalling Rs. 496, so a 50% profit on this total outlay requires a target revenue of 1.5 multiplied by 496, which is Rs. 744. To make this Rs. 744 by selling only 400 sweets, the selling price per sweet must be 744 divided by 400, equalling Rs. 1.86. Since 120 sweets spoiled, he actually sold 500 sweets, making the actual revenue 500 multiplied by 1.86, which is Rs. 930. The actual profit is 930 minus 496, equalling 434, so the profit percentage is (434 / 496) multiplied by 100, resulting in 87.5%.

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