The question consists of three statements numbered I, II

Solution

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.