8% of X is added to X. Again 8% of the result is added to the result. What is the multiple of X in the final answer?
Explanation:
When 8% of X is added to X, we get:
X + 0.08X
Now, again 8% of this result is added to the result.
⇒ (X + 0.08X) + 0.08(X + 0.08X)
⇒ X + 0.08X + 0.08X + 0.0064X
⇒ X + 0.16X + 0.0064X
⇒ 1.1664X
Alternately,
Here we have to successively increase X twice by 8%.
Final value of X = X × 1.08 × 1.08 = 1.1664X
Hence, option (b).
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