A retailer purchases a grinder at a discount of 15% and sells it for Rs. 1955 at a profit of 15%. The amount of discount receved by the retailer from the wholesaler was

Options

A. Rs. 270
B. Rs. 290
C. Rs. 300
D. Rs. 330

Answer

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

### Step 1: Understand the Selling Price and Profit
The retailer sells the grinder for Rs. 1955 at a profit of 15%. This means that the selling price (SP) is Rs. 1955.

### Step 2: Calculate the Cost Price (CP)
To find the cost price (CP), we can use the formula for selling price in terms of cost price and profit percentage:
\[ SP = CP + (Profit \% \times CP) \]
This can be rewritten as:
\[ SP = CP \times (1 + \frac{Profit \%}{100}) \]
Substituting the values we have:
\[ 1955 = CP \times (1 + \frac{15}{100}) = CP \times 1.15 \]
Now, we can solve for CP:
\[ CP = \frac{1955}{1.15} = 1700 \]

### Step 3: Calculate the Market Price (MP)
The retailer purchases the grinder at a discount of 15%. Let the market price (MP) be denoted as \( x \). The retailer pays 85% of the market price because of the 15% discount:
\[ CP = MP \times (1 - \frac{Discount \%}{100}) = x \times 0.85 \]
We already calculated CP as Rs. 1700, so:
\[ 1700 = x \times 0.85 \]
Now, we can solve for \( x \):
\[ x = \frac{1700}{0.85} = 2000 \]

### Step 4: Calculate the Amount of Discount Received
The amount of discount received by the retailer from the wholesaler can be calculated as:
\[ Discount = MP - CP = 2000 - 1700 = 300 \]

### Conclusion
The amount of discount received by the retailer from the wholesaler is Rs. 300.

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