Question

1. A farmer buys a certain number of cattle for R240 000. 20 cattle die and he sells the rest at R400 more each than he paid for them. If his profit is R20 000, how much did he pay for each?

Answer 1

R2400

Explanation:

• This is a math problem.
• Let’s say the farmer bought x cattle for R240000.
• So he paid R240000/x for each.
• After 20 cattle died, he sold the remaining (x-20) cattle at R400 more each than he paid for them.
• So he sold each for (R240000/x + R400).
• His total revenue from selling the remaining cattle is (x-20)(R240000/x + R400).
• Since his profit is R20 000, we can write an equation to solve for x: (x-20)(R240000/x + R400) - R240000 = R20000.
• Solving this equation, we find that x = 100. So the farmer bought 100 cattle for R240 000, which means he paid R240000/100 = R2400 for each