4% of loss when a chair is sold out for 1728 rupees.Then,if you want a 6% of profit,how much will be the  selling prise of the chair?

To solve this problem, we need to find the cost price (C.P.) of the chair first, and then determine the selling price (S.P.) that would give a 6% profit.

### Step 1: Finding the Cost Price (C.P.)
You are given that the chair was sold for ₹1728 at a **4% loss**. This means the selling price (S.P.) of ₹1728 is **96%** of the cost price (C.P.), as 100% - 4% = 96%.

\[
\text{Selling Price} (S.P.) = \frac{96}{100} \times \text{Cost Price} (C.P.)
\]

Given that the S.P. is ₹1728:

\[
1728 = \frac{96}{100} \times \text{C.P.}
\]

Solving for C.P.:

\[
\text{C.P.} = \frac{1728 \times 100}{96} = \frac{172800}{96} = 1800
\]

So, the cost price (C.P.) of the chair is ₹1800.

### Step 2: Finding the New Selling Price for a 6% Profit
Now, you want a **6% profit**. This means the new selling price (S.P.) will be **106%** of the cost price.

\[
\text{Selling Price (S.P.)} = \frac{106}{100} \times \text{C.P.}
\]

Substitute the value of C.P. = ₹1800:

\[
\text{S.P.} = \frac{106}{100} \times 1800 = \frac{106 \times 1800}{100} = 1908
\]

Thus, the new selling price for a 6% profit is **₹1908**.

---

Would you like more details or have any questions?

Here are 5 related questions:
1. What would be the selling price for a 10% profit instead?
2. If the selling price was ₹1800, what would be the percentage of profit or loss?
3. How do you calculate selling price from cost price in general?
4. What is the formula to calculate percentage profit or loss?
5. What is the effect of taxes on profit calculations?

**Tip:** When calculating percentages for profit or loss, always ensure you start from the correct cost price.

4% of loss when a chair is sold out for 1728 rupees. Then, if you want a 6% profit, how much will be the selling price of the chair?

Learn how to calculate the selling price of a chair with a 6% profit, after it was sold at a 4% loss for ₹1728. This problem involves key concepts of percentages and profit/loss, with a step-by-step solution. Suitable for students in Grades 6-8.

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