Two successive increases of 30% each are equivalent to a single increase of
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 69%
The second increase is taken on the already increased value, so the two increases multiply rather than add.
Assuming the starting value to be 100: after the first increase, 130
After the second increase: \(130\times1.3=169\)
Single increase \(=169-100=\) 69%
Shortcut:
Two successive changes of \(a\%\) and \(b\%\) equal \(\left(a+b+\frac{ab}{100}\right)\%\): \(30+30+\frac{900}{100}=69\%\)