A man bought a watch for 10% discount. If he had bought for 20% discount he would have got the watch for Rs. 125 less. The marked price of the watch is

Options

A. Rs. 2500
B. Rs. 1250
C. Rs. 3750
D. Rs. 1000

Answer

To find the marked price of the watch, we can follow these steps:

### Step 1: Understand the discounts
The man bought the watch at a 10% discount. If he had bought it at a 20% discount, he would have saved Rs. 125. This means that the difference in the amount he pays at these two discount rates is Rs. 125.

### Step 2: Define the marked price
Let the marked price of the watch be \( M \).

### Step 3: Calculate the price at 10% discount
The price he pays after a 10% discount is:
\[ \text{Price at 10% discount} = M - 0.10M = 0.90M \]

### Step 4: Calculate the price at 20% discount
The price he would pay after a 20% discount is:
\[ \text{Price at 20% discount} = M - 0.20M = 0.80M \]

### Step 5: Set up the equation
According to the problem, the difference between the two prices is Rs. 125:
\[ 0.90M - 0.80M = 125 \]

### Step 6: Simplify the equation
This simplifies to:
\[ 0.10M = 125 \]

### Step 7: Solve for the marked price
Now, we can solve for \( M \):
\[ M = \frac{125}{0.10} = 1250 \]

### Final Answer
The marked price of the watch is Rs. 1250.

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