The cost price of the two chairs is same. Difference between their selling prices is Rs. 90. On selling one chair, a person got a profit of 12% and on selling another he got a profit of 18%. Find the cost price of each chair.

Options

A. Rs. 1200
B. Rs. 1500
C. Rs. 1800
D. Rs. 2400

Explanation

To solve the problem, let's break it down step by step.

### Step 1: Define Variables
Let the cost price of each chair be \( CP \).

### Step 2: Calculate Selling Prices
The selling price (SP) can be calculated using the formula:
\[ SP = CP + \text{Profit} \]
For the first chair, with a profit of 12%:
\[ SP_1 = CP + 0.12 \times CP = 1.12 \times CP \]
For the second chair, with a profit of 18%:
\[ SP_2 = CP + 0.18 \times CP = 1.18 \times CP \]

### Step 3: Find the Difference in Selling Prices
According to the problem, the difference between the selling prices of the two chairs is Rs. 90:
\[ SP_2 - SP_1 = 90 \]
Substituting the expressions for \( SP_1 \) and \( SP_2 \):
\[ (1.18 \times CP) - (1.12 \times CP) = 90 \]

### Step 4: Simplify the Equation
Simplifying the left side:
\[ (1.18 - 1.12) \times CP = 90 \]
\[ 0.06 \times CP = 90 \]

### Step 5: Solve for Cost Price
Now, divide both sides by 0.06 to find \( CP \):
\[ CP = \frac{90}{0.06} = 1500 \]

### Conclusion
The cost price of each chair is Rs. 1500.