A is 60% smaller than B, then B is how many % greater than A

If A is 60% smaller than B, it means that A is 40% of B.

We can express this mathematically as:

\[
A = 0.40B
\]

Now, to find how many percent B is greater than A, we use the formula for percentage increase:

\[
\text{Percentage increase} = \frac{B - A}{A} \times 100
\]

Substituting \(A = 0.40B\) into the formula:

\[
\text{Percentage increase} = \frac{B - 0.40B}{0.40B} \times 100
\]

Simplifying:

\[
\text{Percentage increase} = \frac{0.60B}{0.40B} \times 100 = 1.5 \times 100 = 150\%
\]

So, B is 150% greater than A.

Would you like more details on this? Here are 5 related questions you might explore:

1. What if A were 70% smaller than B? What would B be in percentage terms greater than A?
2. If A is 50% of B, what is the percentage increase of B compared to A?
3. How do you calculate percentage decrease from one value to another?
4. How would you represent this scenario with variables and solve algebraically?
5. Can you explain how percentage increase and percentage decrease relate to each other?

**Tip:** When calculating percentage increase or decrease, always compare the difference relative to the initial value.

Learn how to calculate the percentage increase when A is 60% smaller than B. Using key formulas such as A = 0.40B and the percentage increase formula, this problem is perfect for students in Grades 7-9 looking to master percentage-based calculations.

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