QUESTION

CSAT

Medium

Maths

Prelims 2014

If Sohan, while selling two goats at the same price, makes a profit of $10\%$ on one goat and suffers a loss of $10\%$ on the other

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Explanation

For the first goat: CP of first goat = SP / 1.10

For the second goat: CP of second goat = SP / 0.90

Total CP = CP of first goat + CP of second goat Total CP = (SP / 1.10) + (SP / 0.90) Total CP = SP * (1/1.10 + 1/0.90) Total CP = SP * (9/9.9 + 10/9) Total CP = SP * (99 + 100) / 99 Total CP = SP * 199 / 99 Total CP = SP * 1.909

Total SP = 2 * SP

Profit or Loss = Total SP - Total CP Profit or Loss = 2 * SP - 1.909 * SP Profit or Loss = 0.091 * SP

Percentage Profit or Loss = $(0.091 * SP) / (1.909 * SP) * 100$ Percentage Profit or Loss = $0.091 / 1.909 * 100$ Percentage Profit or Loss $\approx 4.77$ %