Bill has d animals, 12 of which were sold at a profit of 10% each while the rest were sold at a loss...
Bill has d animals, 12 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d?
Answer/Solution
18
Steps/Work
Total d animals, suppose each has price of x - total price = dx
now 12 were sold at profit of 10%, making equation - - 12*1.1x
now d-12 were sold at loss of 20%, making eqn --- (d-12)*0.8x
Now he made no profit or loss so,
dx = 12*1.1x + (d-12)*0.8x
solving for d, we get d=18
Ans C
now 12 were sold at profit of 10%, making equation - - 12*1.1x
now d-12 were sold at loss of 20%, making eqn --- (d-12)*0.8x
Now he made no profit or loss so,
dx = 12*1.1x + (d-12)*0.8x
solving for d, we get d=18
Ans C