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BECE Mathematics 2012 Paper

Question : 24

Total: 40

Solution:

Concept:

Simple interest is calculated using the formula involving principal, rate, and time.

Explanation:

The simple interest formula is:

\text{Interest} = \frac{\text{Principal} \times \text{Rate} \times \text{Time}}{100}

Here, Interest

= \text{GH₵11,250}

, Principal

= \text{GH₵}150{,}000

, Rate

= 2.5\%

, and Time is unknown.

Substitute the values:

11250 = \frac{150000 \times 2.5 \times \text{Time}}{100}

Simplify the fraction:

\frac{150000}{100} = 1500

, so:

11250 = 1500 \times 2.5 \times \text{Time}

Rewrite

1500 \times 2.5 = 150 \times 25 = 3750

, giving:

11250 = 3750 \times \text{Time}

Divide both sides by

3750

\text{Time} = \frac{11250}{3750} = 3 \text{ years}

Answer:

The time required is 3 years, which is option B.

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