Question

A woman bought 130kg of tomatoes for gh¢52.00. she sold half of them at a profit of 30%. the rest of the tomatoes bagan to go bad, she then reduced the selling price per kg by 12%. calculate a) the new selling price per kg. b) the percentage profit on whole transaction if she thew away 5kg of bad tomatoes.​

Answer 1

(a) 0.52

(b) 5.62%

Explanation:

The cost price of the tomatoes is 52.

Now we need to know the price per KGB of the tomatoes and this equal the cost price divided by the total weight.

I.e 52/130 = 0.4 per KG

We also know that she sold half at 30% profit.

(a) New selling price per kg.

To get that, we find 30% of 0.4 which equals 0.12.

We then add this to 0.4 = 0.4 + 0.12 = 0.52

(b) percentage profit on whole transaction. We know that she threw away 5kg from the other half after selling 65kg.

Now amount of kg left after throwing away 5kg from the other half is 60kg.

She sold this 60kg at 12% loss.

We find 12% of 0.4 = 0.048

We subtract this from 0.4 = 0.4 - 0.048 = 0.352.

Now total sales now equal the following: 0.52(65) + 0.352(60)

= 33.8 + 21.12 = 54.92

% profit = (selling price- cost price)/cost price × 100%

(54.92 - 52)/52 × 100%

2.92/52 × 100% = 5.62%