Brain wants to exchange South African rand for British pound. If R1 is worth 0,075199 pound, how many pounds will he get for R2 100? If past pay an agent commission of $$ 1,5 \% $$?

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To solve the problem, we need to follow these steps:

1. **Calculate the amount of pounds Brain will get for R2,100 without the commission.**
2. **Calculate the commission amount.**
3. **Subtract the commission from the total pounds to find out how much Brain will actually receive.**

### Step 1: Calculate the amount of pounds for R2,100

Given that R1 is worth 0.075199 pounds, we can find out how many pounds Brain will get for R2,100 by multiplying the amount in rand by the exchange rate.

Let:
- $$ R = 2100 $$
- $$ P = 0.075199 $$

The formula to calculate the pounds is:
$$
\text{Pounds} = R \times P
$$

### Step 2: Calculate the commission amount

The commission is 1.5% of the total pounds obtained. We can calculate the commission using the formula:
$$
\text{Commission} = \text{Pounds} \times \frac{1.5}{100}
$$

### Step 3: Calculate the final amount of pounds after commission

Finally, we subtract the commission from the total pounds to find out how much Brain will actually receive:
$$
\text{Final Pounds} = \text{Pounds} - \text{Commission}
$$

Now, let's perform the calculations step by step.

First, we will calculate the total pounds for R2,100.

$$
\text{Pounds} = 2100 \times 0.075199
$$

Let's calculate this.
Calculate the value by following steps:
- step0: Calculate:
  $$2100\times 0.075199$$
- step1: Multiply the numbers:
  $$157.9179$$
Calculate or simplify the expression $$ 157.9179 * 0.015 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$157.9179\times 0.015$$
- step1: Multiply the numbers:
  $$2.3687685$$
Calculate or simplify the expression $$ 157.9179 - 2.3687685 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$157.9179-2.3687685$$
- step1: Subtract the numbers:
  $$155.5491315$$
Now, let's summarize the calculations step by step:

### Step 1: Calculate the amount of pounds for R2,100
$$
\text{Pounds} = 2100 \times 0.075199 = 157.9179
$$

### Step 2: Calculate the commission amount
The commission is 1.5% of the total pounds:
$$
\text{Commission} = 157.9179 \times \frac{1.5}{100} = 2.3687685
$$

### Step 3: Calculate the final amount of pounds after commission
$$
\text{Final Pounds} = 157.9179 - 2.3687685 = 155.5491315
$$

Thus, after paying the agent's commission, Brain will receive approximately **£155.55**.
Brain will receive approximately £155.55 after exchanging R2,100 and paying a 1.5% commission.

Brain wants to exchange South African rand for British pound. If R1 is worth 0,075199 pound, how many pounds will he get for R2 100? If past pay an agent commission of \( 1,5 \% \)?

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