An article was sold for Rs 3,600 at a discount of 10% . Find the selling price if the disocunt was 15% .
A. Rs. 3,600
B.Rs.4,000
C. Rs.3,800
D.Rs . 3,400

Options

A. A
B. D
C. C
D. B

Answer

To solve the problem step by step, we need to determine the marked price of the article first and then calculate the selling price when a 15% discount is applied.

### Step 1: Determine the Marked Price (MP)

Given that the article was sold for Rs 3,600 at a discount of 10%, we can express this mathematically. The selling price (SP) after a 10% discount can be represented as:

\[ SP = MP \times (1 - \text{Discount Rate}) \]

Here, the discount rate is 10%, or 0.10. Therefore, we can write:

\[ 3600 = MP \times (1 - 0.10) \]
\[ 3600 = MP \times 0.90 \]

### Step 2: Solve for Marked Price (MP)

To find the marked price (MP), we rearrange the equation:

\[ MP = \frac{3600}{0.90} \]

Calculating this gives:

\[ MP = 4000 \]

### Step 3: Calculate Selling Price with 15% Discount

Now that we have the marked price, we can calculate the selling price when a 15% discount is applied. The selling price (SP) after a 15% discount can be expressed as:

\[ SP = MP \times (1 - \text{Discount Rate}) \]

Here, the discount rate is 15%, or 0.15. Therefore, we can write:

\[ SP = 4000 \times (1 - 0.15) \]
\[ SP = 4000 \times 0.85 \]

### Step 4: Calculate the Final Selling Price

Calculating this gives:

\[ SP = 4000 \times 0.85 = 3400 \]

### Conclusion

Thus, the selling price if the discount was 15% is Rs 3,400.

### Final Answer

**D. Rs 3,400**

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