Answer:
So, the watch should be labeled at Rs. 1447.2 to achieve the desired profit.
Explanation:
To find the labeled price at which the watch should be sold to gain 33 1/3% after a 20% discount, we need to perform the following steps:
Calculate the amount of the discount by multiplying the original price by 20%: 1200 * 20% = 240
Subtract the discount from the original price to find the sale price: 1200 - 240 = 960
Add the desired profit to the sale price to find the labeled price: 960 + (33 1/3% * 960) = 960 + 320 = 1280
To find the selling price with 13% VAT added, we need to add the VAT to the labeled price: 1280 + (13% * 1280) = 1280 + 167.2 = 1447.2
So, the watch should be labeled at Rs. 1447.2 to achieve the desired profit.