I sold an article for Rs 8800 and thus gained 10%. For what amount should I sell it to get 15% profit?

Options

A. Rs 9,400
B. Rs 9,300
C. Rs 9,200
D. Rs 9,500

Answer

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

**Step 1: Determine the Cost Price (CP)**
We know that the Selling Price (SP) is Rs 8800 and the profit percentage is 10%.
The formula for Selling Price when profit is involved is:
\[ SP = CP + (Profit \% \times CP) \]
This can be rewritten as:
\[ SP = CP \times \left(1 + \frac{Profit \%}{100}\right) \]
Substituting the values we have:
\[ 8800 = CP \times \left(1 + \frac{10}{100}\right) \]
\[ 8800 = CP \times \left(1 + 0.1\right) \]
\[ 8800 = CP \times 1.1 \]
Now, we can find the Cost Price (CP):
\[ CP = \frac{8800}{1.1} \]
\[ CP = 8000 \]

**Step 2: Calculate the Selling Price for 15% Profit**
Now that we have the Cost Price (CP) which is Rs 8000, we need to find the Selling Price (SP) for a 15% profit.
Using the same formula:
\[ SP = CP \times \left(1 + \frac{Profit \%}{100}\right) \]
Substituting the values:
\[ SP = 8000 \times \left(1 + \frac{15}{100}\right) \]
\[ SP = 8000 \times \left(1 + 0.15\right) \]
\[ SP = 8000 \times 1.15 \]
Now, calculating the Selling Price:
\[ SP = 9200 \]

Thus, the amount for which the article should be sold to achieve a 15% profit is **Rs 9200**.

---