The question consists of three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. A showroom has stock of 4 different gadgets: Laptops, Mobiles, Tablets, and Smartwatches . The number of Smartwatches is how much percent of the number of Laptops in the showroom? Statement I: Number of Mobiles is 75% of the number of Laptops. Ratio of number of Mobiles and Smartwatches is 5:4 respectively. Statement II: Number of Smartwatches is 40 less than average number of Mobiles and Tablets. Number of Tablets is 20% more than number of Mobiles and 24 less than number of Laptops. Statement III: Number of Mobiles is 32 more than number of Smartwatches. Average number of Laptops and Mobiles is 336.

Let the number of Laptops, Mobiles, Tablets, and Smartwatches be 'P', 'Q', 'R', and 'S' respectively. Statement I: Let the number of Laptops = 100y Then, number of Mobiles = 75y Number of Smartwatches = 75y X (4/5) = 60y Therefore, required percentage = (60/100) X 100 = 60% Therefore, the data in statement I alone is sufficient to answer the question. Statement II: Let the number of Mobiles = 100k Then, number of Tablets = 1.20 X 100k = 120k Number of Laptops = 120k + 24 Number of Smartwatches = (100k + 120k) /2 - 40 = 110k - 40 With this information alone we cannot determine the number of Smartwatches as a percentage of number of Laptops Therefore, the data in statement II alone is not sufficient to answer the question. Statement III: Let the number of Smartwatches = 'x' Then, number of Mobiles = (x + 32) Let the number of Laptops = y Average number of Laptops and Mobiles = 336 ATQ, {y + (x + 32)} ÷ 2 = 336 y + x + 32 = 672 Or, y + x = 640 With this alone we cannot determine the number of Smartwatches as a percentage of the number of Laptops Therefore, the data in statement III alone is not sufficient to answer the question. Combining statements II and III: Let the number of Mobiles = 100y Then, number of Tablets = 1.20 X 100y = 120y Number of Smartwatches = {(100y + 120y) /2} - 40 = 110y - 40 According to statement III, number of Mobiles = number of Smartwatches + 32 100y = 110y - 40 + 32 100y = 110y - 8 10y = 8 y = (8/10) = 0.8 Number of Laptops = 120y + 24 = 120 X 0.8 + 24 = 96 + 24 = 120 Number of Smartwatches = 110y - 40 = 110 X 0.8 - 40 = 88 - 40 = 48 Required percentage = (48/120) X 100 = 40% Therefore, the data given either in statement I alone or the data given in statements II and III together are sufficient to answer the question.