Question

Peter buys 10 apples at R2.50 each. He sells each apple for R4.00. How much profit does he make if he sells 50% of his apples at full price and the rest at a 25% discount?​

Answer 1

R10.00

Explanation:

Purchase:

10 apples at R2.50 each = 10 × R2.50 = R25.00

He spent R25.00 on the 10 apples.

Sales:

25% discount on R4.00 is 0.75 × R4.00 = R3.00

5 apples at R4.00 = 5 × R4.00 = R20.00

5 apples at R3.00 = 5 × R3.00 = R15.00

Total sales = R20.00 + R15.00 = R35.00

Profit:

R35.00 - R25.00 = R10.00

Answer 2

Peter spent 10 * R2.50 = R25.00 on buying the apples.

At full price, Peter sells 50% of the apples for R4.00, so he sells 10 * 0.5 = 5 apples at full price.

So, he makes 5 * R4.00 = R20.00 from selling the apples at full price.

He sells the rest of the apples (10 - 5 = 5 apples) at a 25% discount, so he sells them for R4.00 - (R4.00 * 25%) = R3.00 each.

So, he makes R3.00 * 5 = R15.00 from selling the rest of the apples at a discount.

Therefore, Peter's total profit is R20.00 + R15.00 = R35.00.