Question

60%of(a-b) =40%of(a+b) then what is the percentage of a to b? option for this question are below..
1)20
2)25
3)40
4)80​

Answer 1

Answer:

20 is the correct answer

Step-by-step explanation:

60/100(a-b) = 40/100(a+b)

60a-60b=40a+40b

20a=100b

a=5b

b=a/5

b=20/100×a

b=20% of a

Answer 2

b is 20% of a

Given :

60% of (a - b) = 40% of (a + b)

To find :

The percentage of a to b is

1) 20

2) 25

3) 40

4) 80

Solution :

Step 1 of 2 :

Write down the given equation

Here the given equation is

60% of (a - b) = 40% of (a + b)

Step 2 of 2 :

Choose the correct option

60% of (a - b) = 40% of (a + b)

$\displaystyle \sf{ \implies }(a - b) \times \frac{60}{100} = (a + b) \times \frac{40}{100}$

$\displaystyle \sf{ \implies }(a - b) \times 3 = (a + b) \times 2$

$\displaystyle \sf{ \implies }3(a - b) = 2(a + b)$

$\displaystyle \sf{ \implies }3a -3 b = 2a + 2b$

$\displaystyle \sf{ \implies }3a -2a = 3b + 2b$

$\displaystyle \sf{ \implies }a = 5b$

$\displaystyle \sf{ \implies }b = \frac{a}{5}$

$\displaystyle \sf{ \implies }b = \frac{a}{5} \times 100\%$

$\displaystyle \sf{ \implies }b = 20 \% \: \: of \: a$

Hence the correct option is 1) 20

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