A radio is sold for 990 at a profit of 10%. What would have been the actual profit or loss on It, had it been sold for Rs. 890?

Options

A. 10loss
B. 10profit
C. 90loss
D. 90profit

Answer

To solve the problem step by step, we need to find the cost price (CP) of the radio first, and then determine the profit or loss when it is sold for Rs. 890.

### Step 1: Calculate the Cost Price (CP)
We know that the selling price (SP) is Rs. 990 and the profit is 10%.

The formula for selling price when profit is involved is:
\[ SP = CP + \text{Profit} \]
Where profit can be calculated as:
\[ \text{Profit} = \frac{10}{100} \times CP = 0.1 \times CP \]

Substituting the profit into the SP formula:
\[ SP = CP + 0.1 \times CP = 1.1 \times CP \]

Now, we can substitute the SP value:
\[ 990 = 1.1 \times CP \]

To find CP, we rearrange the equation:
\[ CP = \frac{990}{1.1} = 900 \]

### Step 2: Determine the Selling Price (SP) for Rs. 890
Now, we need to find out the profit or loss when the radio is sold for Rs. 890.

### Step 3: Calculate Profit or Loss
We compare the selling price of Rs. 890 with the cost price of Rs. 900.

\[ \text{Loss} = CP - SP = 900 - 890 = 10 \]

### Conclusion
The actual profit or loss when the radio is sold for Rs. 890 is a loss of Rs. 10.

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