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BECE Mathematics 2021 Paper

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Question : 17

Total: 40

Esi bought a television set for GH₵ 1,500.00. If she sold it at a profit of 20%, find the selling price.

GH₵ 1,200.00
GH₵ 1,500.00
GH₵ 1,750.00
GH₵ 1,800.00

Solution:

Concept:

Profit percent is always calculated on the cost price.

Explanation:

Let the selling price be

x

.

Cost price

= \text{GH₵}\,1,500.00

.

Profit

= \text{Selling Price} - \text{Cost Price} = x - 1500

.

Profit percent

= \frac{\text{Profit}}{\text{Cost Price}} \times 100

.

So,

20 = \frac{x - 1500}{1500} \times 100

.

Divide both sides by 100:

0.20 = \frac{x - 1500}{1500}

.

Multiply by 1500:

x - 1500 = 300

.

x = 1800

.

Answer:

Selling price is

\text{GH₵}\,1,800.00

.

Correct option: D.

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