A man sells different brands of an items. of the items he has in his shop are from Brand A, of the remainder are from Brand B and the rest are from Brand C. If the total number of Brand C items in the man's shop is 81, how many more Brand B items than Brand C does the shop has?
A. 243 B. 108 C. 54 D. 135
Correct Answer: C
Explanation
Let the total number of items in the man's shop =
Number of Brand A's items in the man's shop =
Remaining items = 1 -
Number of Brand B's items in The man's shop =
Total of Brand A and Brand B's items =
Number of Brand C's items in the man's shop = 1 -
= 81 (Given)
= 81 x 3 = 243
∴ The total number of items in the man's shop = 243
∴ Number of Brand B's items in the man's shop = x 243 = 135
∴ The number of more Brand B items than Brand C = 135 - 81 =54