A cloth piece was purchased for ₹ 700. At what price shouldit be sold to get a profit of 12.5% after a tailoring charge of ₹ 20 was paid for?

Options

A. a) ₹760
B. b) ₹810
C. c) ₹785
D. d) ₹840

Answer

To solve the problem step by step, we need to determine the selling price of the cloth piece after accounting for the purchase price, tailoring charges, and the desired profit percentage.

### Step 1: Determine the Cost Price (CP)
The cost price of the cloth piece is given as ₹700. Additionally, there is a tailoring charge of ₹20.

**Calculation:**
\[ \text{Total Cost Price (CP)} = \text{Purchase Price} + \text{Tailoring Charge} \]
\[ \text{Total CP} = 700 + 20 = ₹720 \]

### Step 2: Calculate the Profit
We need to calculate the profit based on the total cost price. The profit percentage is given as 12.5%.

**Calculation:**
\[ \text{Profit} = \text{Profit Percentage} \times \text{Total CP} \]
\[ \text{Profit} = 12.5\% \times 720 \]
To convert 12.5% to a decimal, we can write it as:
\[ 12.5\% = \frac{12.5}{100} = \frac{1}{8} \]
Now, calculating the profit:
\[ \text{Profit} = \frac{1}{8} \times 720 = 90 \]

### Step 3: Calculate the Selling Price (SP)
The selling price is the total cost price plus the profit.

**Calculation:**
\[ \text{Selling Price (SP)} = \text{Total CP} + \text{Profit} \]
\[ \text{SP} = 720 + 90 = ₹810 \]

### Final Answer
The cloth piece should be sold for ₹810 to achieve a profit of 12.5%.

---