a property dealer charges commission at the rate of 2% on the first ₹ 200000, 1% on the next ₹ 200000 and 0.5% on the remaining price find his commission on the propert that has been sold for ₹ 540000

Answer

To find the commission charged by the property dealer on a property sold for ₹540,000, we will break down the calculation step by step based on the commission rates provided.

### Step 1: Calculate the commission on the first ₹200,000
The commission rate for the first ₹200,000 is 2%.

\[ \text{Commission on first } ₹200,000 = 2\% \text{ of } ₹200,000 \]

Calculating this:

\[ \text{Commission} = \frac{2}{100} \times 200000 = 4000 \]

### Step 2: Calculate the commission on the next ₹200,000
The commission rate for the next ₹200,000 (from ₹200,001 to ₹400,000) is 1%.

\[ \text{Commission on next } ₹200,000 = 1\% \text{ of } ₹200,000 \]

Calculating this:

\[ \text{Commission} = \frac{1}{100} \times 200000 = 2000 \]

### Step 3: Calculate the remaining amount after the first ₹400,000
The total amount of the property sold is ₹540,000. We need to find out how much is left after the first ₹400,000.

\[ \text{Remaining amount} = ₹540,000 - ₹400,000 = ₹140,000 \]

### Step 4: Calculate the commission on the remaining ₹140,000
The commission rate for the remaining amount (above ₹400,000) is 0.5%.

\[ \text{Commission on remaining } ₹140,000 = 0.5\% \text{ of } ₹140,000 \]

Calculating this:

\[ \text{Commission} = \frac{0.5}{100} \times 140000 = 700 \]

### Step 5: Calculate the total commission
Now, we will add all the commissions together to find the total commission.

\[ \text{Total Commission} = \text{Commission on first } ₹200,000 + \text{Commission on next } ₹200,000 + \text{Commission on remaining } ₹140,000 \]

Calculating this:

\[ \text{Total Commission} = 4000 + 2000 + 700 = 6700 \]

### Final Answer
The total commission charged by the property dealer on the property sold for ₹540,000 is **₹6,700**.

---