Question

A and B together earn Rs 1500. A saves 10% of his salary while B saves 20%. Their savings are in the ratio 3:4. Find the individual salaries of A and B

Answer 1

Answer:

salary of A = 900

salary of B = 600

Step-by-step explanation:

suppose A earn = x

then salary of B = 1500 - x       ( because both salary = 1500)

As question

10 % of A = $\frac{x}{10}$

20 % of B =  $\frac{1500 - x}{5}$

=  $\frac{x/10}{1500-x/5}$ = $\frac{3}{4}$

=   $\frac{x}{10}$ X  $\frac{5}{1500-x}$ =  $\frac{3}{4}$

=    $\frac{x}{3000-2x}$ =  $\frac{3}{4}$

=      4x = 9000 - 6x

=       10 x = 9000

=   x = 900

then salary of b = 1500 - 900 = 600

Answer 2

Answer:

Rs. 900 and Rs. 600

Step-by-step explanation:

savings of A and B are in the Ratio of 3:4

Therefore, the saving are 3x, 4x respectively

It's given that

A savings is = 10%

B saving is = 20%

10% of A salary = 3x

10/100 * A salary = 3x

A salary = 3x * 100/10

              = 30x

A salary = 30x

20% of B salary = 4x

20 /100 * B salary = 4x

B salary = 4x*100/20

B salary = 20x

Total salary of A + B = 1500

30x + 20x = 1500

50x = 1500

x = 1500/50

∴x = 30

hence the salary of A is

A's salary = 30*x

              = 30*30

A's salary = 900

The salary of B is

B's salary = 20*x

              = 20*30

B's salary = 600

Thus, The  individual salaries of A and B is Rs. 900 and Rs. 600 respectively.