A man sold a radio for Rs. 1980 and gained `10%` . The radio was bought for -

Options

A. Rs. 1782
B. Rs. 1800
C. Rs. 2178
D. None of these

Answer

To find the cost price (CP) of the radio, we can use the formula that relates the selling price (SP), cost price (CP), and profit percentage.

### Step-by-Step Solution:

1. **Identify the given values:**
- Selling Price (SP) = Rs. 1980
- Profit Percentage = 10%

2. **Use the formula for Cost Price (CP):**
The formula to find the cost price when the selling price and profit percentage are known is:
\[ CP = \frac{SP \times 100}{100 + \text{Profit Percentage}} \]

3. **Substitute the values into the formula:**
\[ CP = \frac{1980 \times 100}{100 + 10} \]
\[ CP = \frac{1980 \times 100}{110} \]

4. **Calculate the denominator:**
\[ 100 + 10 = 110 \]

5. **Perform the multiplication:**
\[ 1980 \times 100 = 198000 \]

6. **Divide by the denominator:**
\[ CP = \frac{198000}{110} \]

7. **Simplify the division:**
\[ CP = 1800 \]

Thus, the cost price of the radio was Rs. 1800.

### Final Answer:
The radio was bought for Rs. 1800.