Answer :
Final answer:
The value of the number (a), which is 110% greater than number (b) (where (b) is 90% less than 47), is calculated incorrectly in the given options. The corrected calculation reveals that (a) should be 9.87, which does not match any of the provided answer choices.
Explanation:
The question asks us to determine the value of the number (a) which is 110% greater than the number (b). The number (b) is given to be 90% less than 47. First, we need to calculate the value of (b).
To find 90% of 47, we multiply 47 by 0.9:
90% of 47 = 47 × 0.9 = 42.3
Now, since (b) is 90% less than 47, we subtract this amount from 47:
(b) = 47 - 42.3 = 4.7
To find (a), we must calculate what number is 110% greater than (b). In other words, we add 110% of 4.7 to itself:
110% of 4.7 = 4.7 × 1.10 = 5.17
Now, add this amount to 4.7 to find (a):
(a) = 4.7 + 5.17 = 9.87
However, this answer is not within the provided options, indicating a mistake in our process. Upon reviewing, the error lies in calculating 110% of (b) incorrectly. Since 110% greater means the original plus 110% of it, we should actually multiply (b) by 2.10: (a) = (b) × 2.10 = 4.7 × 2.10 = 9.87
None of the provided options (a) 46.3, (b) 51.7, (c) 53.2, (d) 58.6 match the correct answer of 9.87 raising the possibility of either a mistake in the question's options or in our calculation.Considering that the percentage calculations are tricky and students might get confused with how to interpret percentages greater or less than 100%, it's essential to review the steps for clarity. If 110% of (b) (not 110% greater) were meant to be added, the calculation would differ, involving adding the whole of (b) plus another 110%, and the options could potentially be correct.
