The marked price of an article is ₹250. After allowing two successive discounts of 20% and x% on the marked price, it is sold for ₹185.60. What is the value of x?

Options

A. 0.084
B. 0.072
C. 0.068
D. 0.076

Answer

To find the value of \( x \) in the given problem, we can follow these steps:

### Step 1: Calculate the price after the first discount
The marked price (MP) of the article is ₹250. The first discount is 20%.

To calculate the first discount:
\[ \text{First Discount} = 20\% \text{ of } 250 = \frac{20}{100} \times 250 = 50 \]

Now, subtract this discount from the marked price to find the selling price after the first discount:
\[ \text{Price after first discount} = 250 - 50 = 200 \]

### Step 2: Apply the second discount
Let the second discount be \( x\% \). The selling price after the second discount is given as ₹185.60.

To find the second discount:
\[ \text{Selling Price after second discount} = \text{Price after first discount} - \text{Second Discount} \]
\[ 185.60 = 200 - \left(\frac{x}{100} \times 200\right) \]

### Step 3: Rearranging the equation
Now, we can rearrange the equation to solve for \( x \):
\[ 185.60 = 200 - \frac{200x}{100} \]
\[ 185.60 = 200 - 2x \]

### Step 4: Isolate \( x \)
Now, isolate \( x \):
\[ 2x = 200 - 185.60 \]
\[ 2x = 14.40 \]
\[ x = \frac{14.40}{2} = 7.20 \]

### Conclusion
Thus, the value of \( x \) is \( 7.20\% \).

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