Find a single equivalent increase if the number is successively increased by 20%, 25% and 30%?

The correct option is 95%.

To find the single equivalent percentage increase for successive increases of 20%, 25%, and 30%, let us assume the initial value of the number is 100.

Step 1: Apply the first increase of 20%
Increase the original value of 100 by 20%:

$\text{Value after first increase}=100+(20\%\text{ of }100)=100+20=120$

Step 2: Apply the second increase of 25%
Now, increase the updated value of 120 by 25%:

$\text{Value after second increase}=120+(25\%\text{ of }120)=120+30=150$

Step 3: Apply the third increase of 30%
Finally, increase the value of 150 by 30%:

$\text{Value after third increase}=150+(30\%\text{ of }150)=150+45=195$

Step 4: Calculate the equivalent single increase
Compare the final value to the initial value to determine the overall increase:

$\text{Total Increase}=195-100=95$

Since the initial number was 100, a total increase of 95 represents a single equivalent increase of 95%.