Question

The ratio of salaries of a and b is 5 : 6. The ratio of savings of a and b is 3 : 2. If b saves 20 % of his salary, what percent of his savings does "a" save?

Answer 1

Answer:36%

Step-by-step explanation:

Ratio of salary a:b = 5:6

b = 6a/5

Ratio of savings as:be = 3:2

b saves 20% of it's salary ,be= 20b/100

as = 3be/2

as=3×20×b/2×100

as=3*6*a/10*5

as=9a/25

as%=9/25*100=36%

Answer 2

The person a saves 36% of his Salary.

Step-by-step explanation:

1) Step 1:

The ratios of salaries of a and b are 5:6

Let a and b be two persons and x and y be there salaries respectively.

$\frac{x}{y} = \frac{5}{6}$

$y = \frac{6x}{5}$

2) Step 2:

The ratios of Savings of a and b is 3:2

Let m and n be savings of a and b respectively.

$\frac{m}{n} = \frac{3}{2}$

$m = \frac{3n}{2}$

3)Step 3:

b saves 20% of its salary

This implies, n is equal to 20% of y

$n = \frac{20}{100} y = \frac{1}{5} y$

4) Step 4:

what percent of salary does a save?

that is, we have to find the ratio between m and x

$m = \frac{3n}{2} = \frac{3}{2} ( \frac{1}{5} y) = \frac{3}{10}y$

putting the value of y obtained in step 1

$m = \frac{3}{10} ( \frac{6x}{5} )$

$m = \frac{9}{25} x$

5) Step 5:

We have to find the percentage

$Percentage = \frac{9}{25} * 100$

$= 9 * 4$

$= 36$

Thus person a saves 36% of his salary.