After adding 40% profit on its manufacturing cost a seller decided to sell his product for Rs 700. As selling of products was very low he decided to sell products at the profit of 10% . Find its new S.P. ?

Answer

To solve the problem step by step, we need to find the new selling price (S.P.) after the seller decides to sell the product at a profit of 10%. Here’s how we can do it:

### Step 1: Understand the initial selling price with a 40% profit.
Let the manufacturing cost (C) be represented as 100 units (this makes calculations easier). If the seller adds a profit of 40%, the selling price (S.P.) can be calculated as follows:

\[ \text{S.P.} = \text{C} + 40\% \text{ of C} = 100 + 40\% \times 100 = 100 + 40 = 140 \]

### Step 2: Relate the initial selling price to the given selling price.
According to the problem, the seller sold the product for Rs. 700. This means that the selling price of Rs. 140 corresponds to Rs. 700. We can set up a proportion to find the cost price:

\[ \frac{140}{700} = \frac{1}{x} \]

Where \( x \) is the value of 1 unit in terms of the cost price.

### Step 3: Calculate the value of one unit.
To find the value of one unit, we can rearrange the proportion:

\[ x = \frac{700}{140} = 5 \]

So, the cost price (C) is Rs. 5 per unit.

### Step 4: Calculate the new selling price with a 10% profit.
Now, the seller wants to sell the product at a profit of 10%. The new selling price (S.P.) can be calculated as follows:

\[ \text{New S.P.} = \text{C} + 10\% \text{ of C} = 5 + 10\% \times 5 = 5 + 0.5 = 5.5 \]

### Step 5: Calculate the total new selling price for the total units.
Since the original selling price was based on 14 units (as derived from the first selling price of Rs. 700), we can calculate the new selling price for 14 units:

\[ \text{Total New S.P.} = \text{New S.P. per unit} \times \text{Total units} = 5.5 \times 14 = 77 \]

Thus, the new selling price for the product when sold at a profit of 10% is Rs. 77.

### Final Answer:
The new selling price (S.P.) is Rs. 77.

---