## Problem Solving

 3.3 Problem Solving
 SAVINGS & INVESTMENT
 SAVINGS INVESTMENT Money or valuables saved and used when in need. Money used for specific business which will give profits in the future.

 EXAMPLE 1

Kevin saves $$\text{RM }1\ 000$$ in a bank. The bank gives an interest rate of $$0.5\%$$ for the savings. Calculate the interest for his savings and the total amount of money that he will have.

SOLUTION:

The interest:

$$\text{RM }1\ \space000\times0.5\%=\\ \text{RM }1\ 000\times\dfrac{0.5}{1\cancel{00}}=\text{RM }5$$

The total amount of money including the interest:

$$\text{ RM }1\space000+\text{RM }5=\text{RM }1\space005$$

 EXAMPLE 2

Encik Raihan received a cheque of $$\text{RM }2\ 500$$ as payment for his shop’s rental in January. He deposited it in his bank account and received an interest rate of $$0.8\%$$ per month. Calculate the amount of money at the end of the month.

SOLUTION:

 PERCENTAGE IN DAILY SITUATIONS
 EXAMPLE 1

Vasanti obtained $$85\%$$ in a test. There were $$60$$ questions in the test. How many questions did Vasanti answer wrongly?

SOLUTION:
The number of questions answered wrongly:
\begin{aligned}\ \dfrac{85}{100}\times60=51\end{aligned}\\

The number of questions answered correctly:
$$60-51=9$$

 EXAMPLE 2

In 2014, the number of tourists who visited Malaysia was 25.6 million. In 2015, the number of tourists increased by 4%. In 2016, there were 30 million tourists. What was the increase in percentage in 2016 compared to 2015?

SOLUTION:
The number of tourists in 2015:
$$\space\space\space\space25.6\text{ million}+4\%\times25.6\ \text{ million}\\=25.6\text{ million}+\dfrac{4}{100}\times25.6\text{ million}\\ =25.6\text{ million}+1.024\text{ million}\\ =26.624\text{ million}$$

The increase in the number of tourists in 2016:
$$30\ \text{million}-26.624\text{ million}=3.376\text{ million}$$

The increase in percentage:
$$\dfrac{3.376}{26.624}\times100\%=12.68\%$$

## Problem Solving

 3.3 Problem Solving
 SAVINGS & INVESTMENT
 SAVINGS INVESTMENT Money or valuables saved and used when in need. Money used for specific business which will give profits in the future.

 EXAMPLE 1

Kevin saves $$\text{RM }1\ 000$$ in a bank. The bank gives an interest rate of $$0.5\%$$ for the savings. Calculate the interest for his savings and the total amount of money that he will have.

SOLUTION:

The interest:

$$\text{RM }1\ \space000\times0.5\%=\\ \text{RM }1\ 000\times\dfrac{0.5}{1\cancel{00}}=\text{RM }5$$

The total amount of money including the interest:

$$\text{ RM }1\space000+\text{RM }5=\text{RM }1\space005$$

 EXAMPLE 2

Encik Raihan received a cheque of $$\text{RM }2\ 500$$ as payment for his shop’s rental in January. He deposited it in his bank account and received an interest rate of $$0.8\%$$ per month. Calculate the amount of money at the end of the month.

SOLUTION:

 PERCENTAGE IN DAILY SITUATIONS
 EXAMPLE 1

Vasanti obtained $$85\%$$ in a test. There were $$60$$ questions in the test. How many questions did Vasanti answer wrongly?

SOLUTION:
The number of questions answered wrongly:
\begin{aligned}\ \dfrac{85}{100}\times60=51\end{aligned}\\

The number of questions answered correctly:
$$60-51=9$$

 EXAMPLE 2

In 2014, the number of tourists who visited Malaysia was 25.6 million. In 2015, the number of tourists increased by 4%. In 2016, there were 30 million tourists. What was the increase in percentage in 2016 compared to 2015?

SOLUTION:
The number of tourists in 2015:
$$\space\space\space\space25.6\text{ million}+4\%\times25.6\ \text{ million}\\=25.6\text{ million}+\dfrac{4}{100}\times25.6\text{ million}\\ =25.6\text{ million}+1.024\text{ million}\\ =26.624\text{ million}$$

The increase in the number of tourists in 2016:
$$30\ \text{million}-26.624\text{ million}=3.376\text{ million}$$

The increase in percentage:
$$\dfrac{3.376}{26.624}\times100\%=12.68\%$$