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BECE Mathematics 2015 Paper

Question : 14

Total: 40

Solution:

Concept:

Profit percentage is always calculated on the cost price.

Selling price equals cost price plus the profit earned.

Explanation:

Let the cost price of the car be

c

Profit is

20\%

of cost price.

So, profit

= \frac{20}{100}c = 0.2c

Selling price

= \text{Cost price} + \text{Profit}

Thus,

60{,}000 = c + 0.2c

This gives

60{,}000 = 1.2c

Now divide both sides by

1.2

c = \frac{60{,}000}{1.2}

c = \frac{600{,}000}{12} = 50{,}000

Therefore, the cost price of the car is GH₵50,000.00.

Answer:

Option B: GH₵50,000.00.

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