Given Information:
Selling price of the watch = Rs. 1275
Loss percentage = 15%

To find:
Selling price to make a profit of 10%

Solution:

Step 1: Finding the Cost Price
To find the cost price of the watch, we need to determine the original value before the loss occurred. We can use the formula:

Selling Price = Cost Price - Loss

Let's substitute the values into the formula:

Rs. 1275 = Cost Price - (15/100) * Cost Price

Simplifying the equation:

1275 = Cost Price * (1 - 15/100)

1275 = Cost Price * (85/100)

Dividing both sides by (85/100):

Cost Price = 1275 * (100/85)

Cost Price = Rs. 1500

Therefore, the cost price of the watch is Rs. 1500.

Step 2: Finding the Selling Price for a 10% Profit
To calculate the selling price to make a profit of 10%, we can use the formula:

Selling Price = Cost Price + Profit

Substituting the values:

Selling Price = 1500 + (10/100) * 1500

Selling Price = 1500 + (10/100) * 1500

Selling Price = 1500 + (10/100) * 1500

Selling Price = 1500 + 150

Selling Price = Rs. 1650

Therefore, the man should sell the watch for Rs. 1650 in order to make a profit of 10%.

Conclusion:
To make a profit of 10%, the man should sell the watch for Rs. 1650.