A shopkeeper marks an article at ₹ 60 and sells at a discount of 15%. He also gives a gift worth ₹ 3. If the still markes 20% profit, the cost price is

Options

A. ₹22
B. ₹32
C. ₹40
D. ₹42

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the Selling Price after Discount
The marked price of the article is ₹60, and the discount given is 15%.

To find the selling price (SP), we can use the formula:
\[ \text{SP} = \text{Marked Price} - \text{Discount} \]
First, we need to calculate the discount:
\[ \text{Discount} = 15\% \text{ of } 60 = \frac{15}{100} \times 60 = 9 \]

Now, we can find the selling price:
\[ \text{SP} = 60 - 9 = 51 \]

### Step 2: Adjust Selling Price for the Gift
The shopkeeper gives a gift worth ₹3. This means the effective selling price (considering the gift) is:
\[ \text{Effective SP} = \text{SP} - \text{Gift} = 51 - 3 = 48 \]

### Step 3: Relate Selling Price to Cost Price with Profit
The shopkeeper makes a profit of 20%. This means that the selling price is 120% of the cost price (CP). We can express this relationship as:
\[ \text{Effective SP} = 1.2 \times \text{CP} \]
Substituting the effective selling price we found:
\[ 48 = 1.2 \times \text{CP} \]

### Step 4: Solve for Cost Price
To find the cost price, we rearrange the equation:
\[ \text{CP} = \frac{48}{1.2} \]

Calculating this gives:
\[ \text{CP} = 40 \]

### Conclusion
The cost price of the article is ₹40.

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