Marked price of an article is Rs 5000. It is purchased at a discount of `20%`. If Rs 200 are spent on its repairs, then to gain `15%` profit, what should be the selling price (in Rs)?

Options

A. 4830
B. 4600
C. 5570
D. 5200

Answer

To solve the problem step by step, we will follow the given information and calculate the required selling price.

### Step 1: Calculate the Discount Amount
The marked price of the article is Rs. 5000, and the discount offered is 20%.

**Calculation:**
Discount = 20% of Marked Price
= 20/100 × 5000
= 1000

### Step 2: Calculate the Cost Price
The cost price (CP) is the marked price minus the discount.

**Calculation:**
Cost Price = Marked Price - Discount
= 5000 - 1000
= 4000

### Step 3: Add Repair Costs
Next, we need to add the repair costs to the cost price to find the total cost.

**Calculation:**
Total Cost = Cost Price + Repair Costs
= 4000 + 200
= 4200

### Step 4: Calculate the Desired Profit
We want to gain a profit of 15% on the total cost.

**Calculation:**
Profit = 15% of Total Cost
= 15/100 × 4200
= 630

### Step 5: Calculate the Selling Price
Finally, we can find the selling price (SP) by adding the profit to the total cost.

**Calculation:**
Selling Price = Total Cost + Profit
= 4200 + 630
= 4830

### Final Answer:
The selling price should be Rs. 4830.

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