Suppose, size M constitutes 22% of all the T-Shirts owned by T-nation. It is also given that ‘size M T-shirt’ in stores 1, 2 and 5 are 10% of the total T-shirts in these stores. Then, the total number of T-Shirts of size M in store 4 cannot be less than
Answer: A
Total t-shirts owned by T-Nation = sum of total t-shirts across all stores.
Store 1 = 57 + 128 + 85 + 69 + 111 = 450
Store 2 = 84 + 55 + 137 + 116 + 48 = 440
Store 3 = 30 + 79 + 30 + 50 + 91 = 280
Store 4 = 48 + 111 + 60 + 101 + 30 = 350
Store 5 = 122 + 65 + 108 + 105 + 80 = 480
∴ Total t-shirts owned by T-Nation
= 450 + 440 + 280 + 350 + 480 = 2000
∴ Total t-shirts of size M = 22% of 2000 = 440
Total size M t-shirts in stores 1, 2 and 5 = 10% of (450 + 440 + 480) = 10% of 1370 = 137
∴ Total size M t-shirts in stores 3 and 4 = 440 – 137 = 303
Now, the minimum number of size M
t-shirts in store 4 has to be found. For this, as many t-shirts as possible should be in store 3.
Since total t-shirts in store 3 are 280, assume that all of them are size M.
∴ Minimum number of size M t-shirts in store 4 = 303 – 380 = 23
Hence, option (a).