Question

A market woman purchased a number of plates for GH 150.00. Four of the plates

4
got broken while transporting them to her shop. By selling the remaining plates at a
profitof GH€ 1.00 on each, she made a total profit of GH€ 6.00. How many
plates did she purchase?

Answer 1

Answer: 160 plates.

Explanation:

The woman bought N plates for GH€ 150.00

4 of the plates where broken, so she has N - 4 plates to sell.

She sold each one of the N - 4 plates for GH€ 1, then after all the N- 4 plates were sold, the total money that she has is:

(N - 4)*GH€1 = GH€ (N - 4)

And the total profit (profit is the difference between the final amount of money that she gets, and the initial payment) is GH€ 6, then we have that:

GH€ (N - 4) - GH€ 150.00 = GH€ 6

ignoring the units, we have:

N - 4 - 150 = 6.

N = 6 + 154 = 160.

She bought 160 plates.