Question

If b is 40 percent of (a + b), then a is what percent of b?

Answer 1

Given:

b=40% of (a+b)

To find:

a=x% of b

Solution:

b = 40% of (a+b)

b= 40/100 ×(a+b)

b= 0.4a+0.4b

b-0.4b = 0.4a

0.6b = 0.4a

a = 0.6b/0.4

a = 1.5b

a = 150% of b

Thus, a is 150% of b.

Answer 2

If b is 40 percent of (a + b), then a is 150% 0f b.

PERCENTAGE

A percentage is a number or ratio that can be expressed as a fraction of 100.

The Percentage Formula is given as,

$\text { Percentage }=(\text { Value } / \text { Total Value }) \times 100$

Given:

$b=40 \% of (a+b)$

To find:

$a=x \% of b$

Solution:

$&b=40 \% \text { of }(a+b)$

$&b=40 / 100 \times(a+b)$

$&b=0.4 a+0.4 b$

$&b-0.4 b=0.4 a$

$&0.6 b=0.4 a$

$&a=0.6 b / 0.4$

$&a=1.5 b$

$&a=150 \% \text { of } b$

Thus, a is $150 \% of b.$

Learn more about PERCENTAGE here,

https://brainly.in/question/48435318?msp_poc_exp=1

#SPJ2