Question

If A is 1.5 times B, then B is what percent of A+ B?

Answer 1

Answer:

It's 40%

Step-by-step explanation:

For example B is 2 then A is 3

--> A + B = 3 + 2 = 5

--> B = 2/5 = 40%

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Answer 2

Answer:

B is 40% of A + B.

Step-by-step explanation:

• Percentages denote a fraction of a value represented in terms of 100.
• The problems like this having proportions are usually common in numerical ability where the proportions of mixing different liquids are given.
• Ratios also used in scaling, it enlarges or diminishes objects. It is a linear transformation by a factor called scaling factor.

Calculation:

Given that A is 1.5 times B.

Let B = x  

Then, A = 1.5x

A + B = 1.5x + x

A + B = 2.5x

To find the percentage of B in A + B, divide the value of B with the value of A + B and multiply by 100%.

Percentage of B = [B/(A + B)] * 100%

Percentage of B = [x/2.5x] * 100%

Percentage of B = [10/25] * 100%

Percentage of B = [2/5] * 100%

Percentage of B = 0.4 * 100% = 40%.

Therefore, B is 40% of A + B.

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