A trader presently earns 17% profit by selling an article. If he increases the price of the article y Rs. 33.60, his gain percent increase to 29%. What is the cost price of article ?

Options

A. Rs. 240
B. Rs. 300
C. Rs. 280
D. Rs. 320

Answer

To find the cost price of the article, we can follow these steps:

### Step 1: Understand the given information
- Let the cost price (CP) of the article be \( x \).
- The trader earns a profit of 17%, which means the selling price (SP) is:
\[ SP = CP + 17\% \text{ of } CP = x + 0.17x = 1.17x \]

### Step 2: Calculate the new selling price after the increase
- If the trader increases the price by Rs. 33.60, the new selling price becomes:
\[ SP_{new} = SP + 33.60 = 1.17x + 33.60 \]

### Step 3: Determine the new profit percentage
- The new profit percentage is 29%, so the new selling price can also be expressed as:
\[ SP_{new} = CP + 29\% \text{ of } CP = x + 0.29x = 1.29x \]

### Step 4: Set up the equation
- We now have two expressions for \( SP_{new} \):
\[ 1.17x + 33.60 = 1.29x \]

### Step 5: Solve for \( x \)
- Rearranging the equation gives:
\[ 33.60 = 1.29x - 1.17x \]
\[ 33.60 = 0.12x \]
- Now, divide both sides by 0.12 to find \( x \):
\[ x = \frac{33.60}{0.12} = 280 \]

### Conclusion
- The cost price of the article is Rs. 280.