What is the loss percent if the selling price of 8 tables is equal to the loss incurred by selling 192 tables?
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What is the loss percent if the selling price of 8 tables is equal to the loss incurred by selling 192 tables?
4%
40%
8%
80%
2%
Loss = CP - SP. Loss on 192 tables = 192 * CP - 192 * SP. Given 8 * SP = 192 * CP - 192 * SP, so 200 * SP = 192 * CP. SP/CP = 192/200 = 0.96. Loss = 1 - 0.96 = 0.04 or 4%.
Let the cost price of one table be C and the selling price of one table be S. The loss on one table is C minus S, and the selling price of 8 tables is 8S. Since 8S equals the loss on 192 tables, we write 8S equals 192 multiplied by (C minus S). This simplifies to S equals 24C minus 24S, so 25S equals 24C, meaning S equals 0.96C. The loss is C minus 0.96C, which is 0.04C, making the loss percent 4 percent.