After allowing a discount of 8% on a toy, it is sold for Rs. 216.20. Find the marked price of toy.

Options

A. Rs 230
B. Rs 330
C. Rs 235
D. Rs 250

Answer

To find the marked price of the toy after allowing a discount of 8%, we can use the following steps:

### Step 1: Understand the relationship between selling price, marked price, and discount.
The selling price (SP) can be calculated using the formula:
\[ SP = MP - \text{Discount} \]
Where:
- SP = Selling Price
- MP = Marked Price
- Discount = Percentage of the marked price

### Step 2: Express the discount in terms of the marked price.
Given that the discount is 8%, we can express the discount as:
\[ \text{Discount} = \frac{8}{100} \times MP = 0.08 \times MP \]

### Step 3: Substitute the discount into the selling price formula.
Now we can substitute the discount into the selling price formula:
\[ SP = MP - (0.08 \times MP) \]
This simplifies to:
\[ SP = MP (1 - 0.08) \]
\[ SP = MP \times 0.92 \]

### Step 4: Substitute the known selling price into the equation.
We know the selling price is Rs. 216.20, so we can set up the equation:
\[ 216.20 = MP \times 0.92 \]

### Step 5: Solve for the marked price (MP).
To find the marked price, we can rearrange the equation:
\[ MP = \frac{216.20}{0.92} \]

Now, we can calculate:
\[ MP = \frac{216.20}{0.92} \approx 235.00 \]

### Conclusion:
The marked price of the toy is approximately Rs. 235.00.

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