The size of a quantity first doubles and then increases by a further 16%. After a short time its size decreases by 16%. What is the net increases in size of the quantity?
a
\(\frac{59300}{625}\)
b
\(\frac{50900}{625}\)
c
200%
d
+100%
Explanation
Correct Option
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EAEmerson
1 year ago
the calculation is wrong and unclear:
Let's break it down step by step:
1. Initial Size = 100% (Assume 1 unit for simplicity).
2. First, the quantity doubles:
New size = 2 × 100% = 200% (or 2 units).
3. Next, it increases by 16%:
Increase = 16% of 200% = 0.16 × 200 = 32%.
New size = 200% + 32% = 232% (or 2.32 units).
4. Then, it decreases by 16%:
Decrease = 16% of 232% = 0.16 × 232 = 37.12%.
New size = 232% - 37.12% = 194.88% (or 1.9488 units).
5. Net Increase:
Initial size = 100%.
Final size = 194.88%.
Net increase = 194.88% - 100% = 94.88%.
Final Answer:
The net increase in size of the quantity is 94.88%.
