Question

If 15% of (a+b)=25% of (a-b), then what percent of b is equal to a

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

$400\% \: of \: b = a$

Step-by-step explanation:

$Given \\15\% \:of \:(a+b)=25\% \: of \: (a-b)$

$\implies 15\% \times (a+b)=25\% \times (a-b)$

$\implies \frac{15}{100} \times (a+b)=\frac{25}{100} \times (a-b)$

/* multiply both sides by 100, we get

$\implies 15\times (a+b)=25\times (a-b)$

/* divide both sides by 5, we get

$\implies 3(a+b)=5(a-b)$

$\implies 3a+3b=5a-5b$

$\implies 3b+5b=5a-3a$

$\implies 8b = 2a$

$\implies 2a = 8b$

$\implies a = 4b$

$\implies a = 400\% \:of \: b$

Therefore,.

$400\% \: of \: b = a$

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