If the rice is sold at Rs 93 per kg, there would be a `25%` loss. To earn a profit of `25%` what should be the price of rice (per kg)?

Options

A. 155
B. 160
C. 165
D. 175

Answer

To solve the problem step by step, we need to determine the cost price of the rice and then calculate the selling price needed to achieve a 25% profit.

### Step 1: Understand the loss situation
We know that selling the rice at Rs 93 results in a 25% loss. A 25% loss means that the selling price (SP) is 75% of the cost price (CP).

### Step 2: Set up the equation for cost price
Let the cost price of the rice be \( CP \).
Since a 25% loss means:
\[ SP = CP - 0.25 \times CP = 0.75 \times CP \]
Given that \( SP = 93 \):
\[ 93 = 0.75 \times CP \]

### Step 3: Solve for cost price
To find \( CP \), we rearrange the equation:
\[ CP = \frac{93}{0.75} \]
Calculating this gives:
\[ CP = 93 \div 0.75 = 124 \]

### Step 4: Calculate the selling price for a 25% profit
Now, to find the selling price for a 25% profit, we need to calculate 125% of the cost price:
\[ SP_{profit} = CP + 0.25 \times CP = 1.25 \times CP \]
Substituting the value of \( CP \):
\[ SP_{profit} = 1.25 \times 124 \]

### Step 5: Calculate the final selling price
Calculating this gives:
\[ SP_{profit} = 155 \]

### Conclusion
To earn a profit of 25%, the price of rice should be Rs 155 per kg.

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