Mahesh earned a profit of 20% by selling 60 apples at the rate of Rs 42.50 for 5 apples. Then the total cost, at which the apples were bought is

Options

A. Rs 452
B. Rs 425
C. RS 450
D. Rs 485

Answer

To find the total cost at which Mahesh bought the apples, we can follow these steps:

### Step 1: Calculate the Selling Price of 60 Apples
Mahesh sells 5 apples for Rs 42.50. To find the selling price for 60 apples, we first determine how many sets of 5 apples are in 60 apples.

\[ \text{Number of sets of 5 apples} = \frac{60}{5} = 12 \]

Now, we can calculate the total selling price for 60 apples:

\[ \text{Selling Price for 60 apples} = 12 \times 42.50 = 510 \]

### Step 2: Understand the Profit Percentage
Mahesh earned a profit of 20% on the cost price. This means that the selling price (SP) is 120% of the cost price (CP).

\[ SP = CP + \text{Profit} = CP + 0.20 \times CP = 1.20 \times CP \]

### Step 3: Set Up the Equation
From the information we have, we can set up the equation:

\[ 510 = 1.20 \times CP \]

### Step 4: Solve for the Cost Price (CP)
To find the cost price, we rearrange the equation:

\[ CP = \frac{510}{1.20} \]

Calculating this gives:

\[ CP = \frac{510}{1.20} = 425 \]

### Conclusion
The total cost at which Mahesh bought the apples is Rs 425.

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