The MP of watch is Rs. 1840. The shopkeeper gives successive discount of 15% and x% to the customer. If the customer pays Rs. 1173 for the watch. Find the value of x?

Options

A. 15
B. 20
C. 25
D. 30

Answer

To solve the problem, we need to find the value of \( x \) given the market price (MP) of the watch and the selling price (SP) after successive discounts.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Market Price (MP) = Rs. 1840
- Selling Price (SP) = Rs. 1173
- First Discount = 15%
- Second Discount = \( x\% \)

2. **Calculate the Selling Price after the First Discount:**
- The first discount is 15% of the market price.
- First Discount Amount = \( 15\% \) of \( 1840 \)
\[ \text{First Discount Amount} = \frac{15}{100} \times 1840 = 276 \]
- Selling Price after First Discount (SP1) = MP - First Discount Amount
\[ SP1 = 1840 - 276 = 1564 \]

3. **Set Up the Equation for the Second Discount:**
- The selling price after the second discount (which is \( x\% \)) is given as Rs. 1173.
- Let the second discount amount be \( x\% \) of \( SP1 \).
- Second Discount Amount = \( \frac{x}{100} \times 1564 \)
- Selling Price after Second Discount (SP2) = SP1 - Second Discount Amount
\[ 1173 = 1564 - \left(\frac{x}{100} \times 1564\right) \]

4. **Simplify the Equation:**
- Rearranging the equation gives:
\[ \frac{x}{100} \times 1564 = 1564 - 1173 \]
- Calculate \( 1564 - 1173 \):
\[ 1564 - 1173 = 391 \]
- So, we have:
\[ \frac{x}{100} \times 1564 = 391 \]

5. **Solve for \( x \):**
- Multiply both sides by 100:
\[ x \times 1564 = 39100 \]
- Now, divide by 1564:
\[ x = \frac{39100}{1564} \]
- Calculate \( x \):
\[ x \approx 25 \]

### Final Answer:
The value of \( x \) is approximately \( 25\% \).