Question

If B is 60% more than A, then A is

A. 37.5% less than B.
B. 37.5% of B
C. 60% less than B
D. 60% of B

Answer 1

37.5% less than B

Explanation:

It is given that B is 60% more than A.

• A (160%) = B
• A = B / (160%)
• A = B / (8/5)
• A = 5B/8
• A = 0.625B
• A = (62.5%) B

Since A is 62.5% of B, it is 37.5% less than B.

Answer 2

A. 37.5% less than B

Explanation:

We can write an equation to model this:

B being 60% more than A means that:

B=0.6A+1A

B=1.6A

Let's isolate A.

A=B/1.6

Multiply the top and bottom by 10 to get whole numbers

A=10B/16

Simplify

A=5B/8

5/8 = 62.5%

A=0.625B

Therefore, A is 62.5% of B

This means that A is 37.5% less than B.